The minimum force required to move the book and paper system is 0.0098 times the mass of the book.
Calculating the Minimum ForceTo determine the minimum force required to move the book and paper system, we need to consider the forces acting on the system. There are two forces acting on the paper: the force of friction and the applied force P. The force of friction is equal to the coefficient of friction times the normal force, which is the weight of the paper. The weight of the paper is 0.1Mg, where g is the acceleration due to gravity.
Ffriction = μN = μ(0.1Mg) = 0.01Mg
To move the paper, the applied force P must be greater than or equal to the force of friction. Therefore:
P ≥ Ffriction
P ≥ 0.01Mg
Substituting the weight of the paper, we get:
P ≥ 0.01M(9.8 m/s²)(0.1) = 0.0098M
Therefore, the minimum force required to move the book and paper system is 0.0098 times the mass of the book.
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Please look at the picture and help! Lots of points!
Answer:
R (total) = 46,3 Ω
V1 = 16,25 V
V2 = 19,11 V
V3 = 24,64 V
I (total) ≈ 1,3 A
I1 ≈ 1,3 A
I2 ≈ 1,3 A
I3 ≈ 1,3 A
Explanation:
Given:
V (total) = 60,0 V
R1 = 12,5 Ω
R2 = 14,7 Ω
R3 = 19,1 Ω
Since the whole circuit is connected in series, we can find the total resistance:
R (total) = R1 + R2 + R3
R (total) = 12,5 + 14,7 + 19,1 = 46,3 Ω
I1 = I2 = I3 = I (total) (since it's connected in series)
I (total) = V (total) / R (total)
I (total) = I1 = I2 = I3 = 60/46,3 ≈ 1,3 A
V1 = I1 × R1
V1 = 1,3 × 12,5 = 16,25 V
V2 = I2 × R2
V2 = 1,3 × 14,7 = 19,11 V
V3 = V (total) - V1 - V2
V3 = 60 - 16,25 - 19,11 = 24,64 V
The equivalent resistance, Rₜₒₜ can be obtained as follow:
Resistor 1 (R₁) = 12.5 ΩResistor 2 (R₂) = 14.7 ΩResistor 3 (R₃) = 19.1 ΩEquivalent resistance (Rₜₒₜ) = ?Rₜₒₜ = R₁ + R₂ + R₃
Rₜₒₜ = 12.5 + 14.7 + 19.1
Equivalent resistance (Rₜₒₜ) = 46.3 Ω
How do i determine total current Iₜₒₜ?We can obtain the total current, Iₜₒₜ as follow:
Equivalent resistance (Rₜₒₜ) = 46.3 ΩTotal voltage (Vₜₒₜ) = 60 VTotal current (Iₜₒₜ) = ?Current = Voltage / resistance
Iₜₒₜ = 60 / 46.3
Total current (Iₜₒₜ) = 1.3 A
How do i determine I₁, I₂, and I₃ ?Current in series connection is the same through out the circuit.
Total current (Iₜₒₜ) = 1.3 ACurrent I₁ = I₂ = I₃ =?Iₜₒₜ = I₁ = I₂ = I₃ (series connection)
1.30 = I₁ = I₂ = I₃
Thus,
I₁ = I₂ = I₃ = 1.3 A
How do i determine V₁?We can obtain V₁ as follow:
Resistor 1 (R₁) = 12.5 ΩCurrent 1 (I₁) = 1.3 AVoltage 1 (V₁) =?V = IR
V₁ = 1.3 × 12.5
Voltage 1 (V₁) = 16.3 V
How do i determine V₂?We can obtain V₂ as follow:
Resistor 1 (R₂) = 14.7 ΩCurrent 1 (I₂) = 1.3 AVoltage 1 (V₂) =?V = IR
V₂ = 1.3 × 14.7
Voltage 1 (V₂) = 19.1 V
How do i determine V₃?We can obtain V₃ as follow:
Voltage 1 (V₁) = 16.3 VVoltage 1 (V₂) = 19.1 VTotal voltage (Vₜₒₜ) = 60 VVoltage 1 (V₃) =?Vₜₒₜ = V₁ + V₂ + V₃
60 = 16.3 + 19.1 + V₃
60 = 35.4 + V₃
Collect like terms
V₃ = 60 - 35.4
V₃ = 24.6 V
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The moon has a radius of 1,738,000 m and a mass of 7.35 x 1022 kg. It orbits the
earth at a radius of 3.84 x 10¹¹ m. The earth's mass is 6 x 1024 kg. What is the
force gravity between the earth and the moon?
A star has a mass that is 6.6 times that of the Sun. Assuming that it's on the main sequence, how many solar luminosities is it?
The star has a luminosity that is approximately 195.8 times that of the Sun.
The luminosity of a star is directly proportional to its mass to the power of approximately 3.5. This relationship is known as the mass-luminosity relation. Using this relation, we can calculate the luminosity of the star relative to the Sun as follows:
L_star/L_sun = (M_star/M_sun)^3.5
where L_star is the luminosity of the star, M_star is the mass of the star, L_sun is the luminosity of the Sun, and M_sun is the mass of the Sun.
Substituting the given values, we get:
L_star/L_sun = (6.6)^3.5
Using a calculator, we find:
L_star/L_sun = 195.8
Therefore, the star has a luminosity that is approximately 195.8 times that of the Sun.
What is luminosity?
Luminosity is a measure of the total amount of energy emitted by a star, galaxy, or other astronomical object per unit time. It is a fundamental property of an astronomical object and is related to its size, temperature, and composition.
Luminosity is often compared to the concept of brightness, which is a measure of the amount of light received by an observer from an astronomical object.
Luminosity is typically measured in units of watts (W) or solar luminosities (L☉), where one solar luminosity is equal to the luminosity of the Sun (about 3.828 x 10^26 W).
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Block 1 of mass 4.0 kg is sliding to the right with velocity 5.5 m/s and collides with block 2 of mass 4.5 kg moving with velocity -2.5 m/s. The collision is perfectly elastic. What is the velocity of block 1 after the collision? Positive velocity indicates motion to the right while negative velocity indicates motion to the left.
The final velocities of the two blocks after the collision are:
Block 1: 2.32 m/s to the right
Block 2: 2.43 m/s to the left
What is the final velocity of the blocks?We can use the conservation of momentum and the conservation of kinetic energy to solve this problem.
Since the collision is perfectly elastic, the total kinetic energy before and after the collision should be the same.
Let's first calculate the momentum of each block before the collision:
Momentum of block 1 = mass x velocity = 4.0 kg x 5.5 m/s = 22.0 kg m/s to the right
Momentum of block 2 = mass x velocity = 4.5 kg x (-2.5 m/s) = -11.25 kg m/s to the left
The total momentum before the collision is:
P_before = 22.0 kg m/s - 11.25 kg m/s = 10.75 kg m/s to the right
Now, let's use the conservation of momentum to find the velocity of the blocks after the collision. Since the momentum is conserved, the total momentum after the collision should also be 10.75 kg m/s to the right.
Let the final velocity of block 1 be v1 and the final velocity of block 2 be v2. Then we have:
Momentum of block 1 after collision = mass x velocity = 4.0 kg x v1
Momentum of block 2 after collision = mass x velocity = 4.5 kg x v2
Total momentum after collision = 4.0 kg x v1 + 4.5 kg x v2 = 10.75 kg m/s to the right
We also know that the total kinetic energy before and after the collision should be the same. The kinetic energy of a block is given by:
Kinetic energy = 0.5 x mass x velocity^2
The total kinetic energy before the collision is:
KE_before = 0.5 x 4.0 kg x (5.5 m/s)^2 + 0.5 x 4.5 kg x (-2.5 m/s)^2 = 30.625 J
The total kinetic energy after the collision is:
KE_after = 0.5 x 4.0 kg x v1^2 + 0.5 x 4.5 kg x v2^2
Since the collision is perfectly elastic, we know that the kinetic energy is conserved, so KE_before = KE_after.
Therefore, we can set these two equations equal to each other and solve for v1:
0.5 x 4.0 kg x (5.5 m/s)^2 + 0.5 x 4.5 kg x (-2.5 m/s)^2 = 0.5 x 4.0 kg x v1^2 + 0.5 x 4.5 kg x v2^2
Simplifying this equation gives:
15.875 = 2.0 v1^2 + 5.0625
10.8125 = 2.0 v1^2
v1^2 = 5.40625
v1 = ±2.32 m/s
Since block 1 was originally moving to the right, we can discard the negative solution and conclude that the final velocity of block 1 after the collision is:
v1 = 2.32 m/s to the right
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Energy stored in food can be considered as a type of what kind of energy
Answer: We get chemical energy from foods, which we use to run about, and move and talk kinetic and sound energy Chemical energies are stored in fuels which we burn to release thermal energy - this is one way of making electricity, see Electricity for more information
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what effect does density have on transverse waves
A 70kg astronaut is 300km above the surface of the earth. Calculate the gravitational field strength at this altitude. What is the weight (force of gravity) of the astronaut at this altitude?
Answer:
The gravitational field strength at an altitude of 300 km above the surface of the earth can be calculated using the formula:
g = GM/(r+h)^2
where g is the gravitational field strength, G is the gravitational constant, M is the mass of the earth, r is the radius of the earth, h is the altitude above the surface of the earth.
Using the values:
G = 6.67 x 10^-11 N(m/kg)^2
M = 5.97 x 10^24 kg
r = 6.38 x 10^6 m
h = 3 x 10^5 m
we can calculate:
g = (6.67 x 10^-11) x (5.97 x 10^24)/((6.38 x 10^6 + 3 x 10^5)^2)
g = 8.62 m/s^2
This means that the gravitational field strength at an altitude of 300 km above the surface of the earth is about 8.62 m/s^2.
To calculate the weight of the astronaut at this altitude, we can use the formula:
F = mg
where F is the force of gravity (weight), m is the mass of the astronaut, and g is the gravitational field strength at this altitude.
Using the value: m = 70 kg, and g = 8.62 m/s^2, we get:
F = 70 x 8.62
F = 603.4 N
Therefore, the weight of the astronaut at an altitude of 300 km above the surface of the earth is about 603.4 N.
A 2750 kg helicopter flies horizontally at constant speed. Air resistance creates a 7510 N backward force. What is the direction of the lift force created
by the propellers?
Since the lift force must act vertically upward, we can conclude that the lift force created by the propellers is acting vertically upward.
To find the direction of the lift force created by the propellers?Since the helicopter is flying horizontally at a constant speed, we know that the net force acting on it must be zero.
The weight of the helicopter can be calculated as :
weight = mass x gravity
weight = 2750 kg x 9.81 m/s²
weight = 26977.5 N
Since the net force acting on the helicopter is zero, we can write:
forward force - backward force + lift force + weight = 0
Substituting the given values, we get
forward force - 7510 N + lift force + 26977.5 N = 0
Simplifying the equation, we get:
forward force + lift force = 7510 N - 26977.5 N
forward force + lift force = -19467.5 N
Since the helicopter is flying at a constant speed, we know that the forward force created by the propellers must be equal in magnitude to 7510 N. Therefore, we can write:
7510 N + lift force = -19467.5 N
Solving for the lift force, we ge:
lift force = -26977.5 N
Since the lift force must act vertically upward, we can conclude that the lift force created by the propellers is acting vertically upward.
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Joe wishes to hang a sign weighing 800 N so that cable A, attached to the store, makes a 30.0° angle, as shown below. Cable B is horizontal and attached to an adjoining building.
What is the tension in cable 87
The tension in cable B is 87.5 N, see the computation in the section below
Given DataWeight of sign = 800 N Angle of cable A = 30.0° Tension in cable B = 87.5 NTension in cable A = 800sin30 = 400 N
Tension in cable B = 800cos30 = 693.33 N
Total Tension = 400 + 693.33 = 1093.33 N
Tension in cable B = 1093.33 - 800 = 293.33 N
Tension in cable B = 293.33/2 = 87.5 N
The tension in cable B, attached to an adjoining building, is 87.5 N in order to hang a sign weighing 800 N so that cable A, attached to the store, makes a 30.0° angle.
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a. Whats the initial momentum of the ball.
b. what is the final momentum after the ball was hit ?
c. what is the change in momentum of the ball ?
(a) The initial momentum of the ball of mass 0.045 kg is 0 kgm/s.
(b) The final momentum after the ball was hit is 1.215 kgm/s.
(c) The change in momentum of the ball is 1.215 kgm/s.
What is momentum?Momentum is the product of mass and velocity
(a) To calculate the initial momentum of the ball, we use the formula below
M' = mu...............Equation 1Where:
M' = Initial momentumm = Mass of the ballu = Initial velocityFrom the question,
Given:
m = 0.045 kgu = 0 m/sSubstitute these values into equation 1
M' = 0.045×0M' = 0 kgm/s(b) To calculate the final momentum after the ball was hit, we use the formula below
M = mv.................... Equation 2Where:
M = Final momentum of the ballv = Final velocity of the ball = 27 m/sSubstitute into equation 2
M = 0.045×27M = 1.215 kgm/s(c) To calculate the change in momentum of the ball, we use the formula below.
ΔM = M-M'................................ Equation 1Where:
ΔM = Change in momentumSubstitute into equation 3
ΔM = 1.215-0ΔM = 1.215 kgm/sHence, The Initial momentum, final and change in momentum of the ball is 0 kgm/s, 1.215 kgm/s, 1.215 kgm/s respectively.
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5. A 78.0-kg skier skis down a 500-m high slope to the bottom of the mountain.
(a) What is the skier's potential energy at the top of the slope?
PE=382200J
(b) What is the skier's kinetic-energy at the bottom of the slope?
A skier has potential energy when they first start out. She only has kinetic energy just at bottom of the hill. At first, the skier is at rest, and all of his energy is potential energy.
What is the ball's kinetic energy at the base of the ramp?Gravity transforms the ball's potential energy into motion as it roll down the ramp, such that when it reaches the bottom of a loop, its energy was zero and its velocity ((1/2)mv2) is at its highest.
What is the children's kinetic energy at the bottom of the slide?When the child reaches the bottom of a slide, they have both thermal and kinetic energy since a portion of the energy is heated by friction. We can make the energy merely at the beginning to finish equal in accordance with the energy conservation legislation.
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6.4 A pebble of mass, m is attached to one end of a high inelastic string of length, L. The other end of the string is fixed. The string is initially held taut to the horizontal and the pepple is then released. Find the values of the following quantities when the string reaches the vertical position: (I)The kinetic energy of the pepple (ii)The velocity of the pepple (III)The acceleration of the pepple and (iv) The tension in the string
(I) The kinetic energy of the pebble when the string reaches the vertical position is mgL.
When the pebble is released, it will start to fall towards the ground due to gravity, and the string will become slack. When the string reaches the vertical position, the pebble will have lost all its potential energy, which will be converted into kinetic energy.
What is kinetic energy?
At the vertical position, all the potential energy of the pebble is converted into kinetic energy. The potential energy of the pebble is given by:
PE = mgh
where m is the mass of the pebble, g is the acceleration due to gravity, and h is the height from which the pebble was released. Initially, the height of the pebble is L, so the potential energy is:
PE = mgh = mgL
When the string reaches the vertical position, the height of the pebble is zero. Therefore, all the potential energy is converted into kinetic energy, which is given by:
KE = PE = mgh = mgL
Therefore, the kinetic energy of the pebble when the string reaches the vertical position is mgL.
(ii) The velocity of the pebble when the string reaches the vertical position is sqrt(2gL).
What is velocity of pebble ?
The kinetic energy of the pebble is also given by:
KE = (1/2)mv²
where v is the velocity of the pebble. Equating this expression with the kinetic energy we found above, we get:
mgh = (1/2)mv²
Simplifying and solving for v, we get:
v = √2gh
where h is the initial height of the pebble, which is L. Substituting the given values, we get:
v = √2gL
Therefore, the velocity of the pebble when the string reaches the vertical position is √2gL.
(III) The acceleration of the pebble:
At the vertical position, the tension in the string will be equal to the weight of the pebble. Therefore, the net force acting on the pebble will be zero, and its acceleration will be zero. Therefore, the acceleration of the pebble when the string reaches the vertical position is zero.
(iv) The tension in the string when it reaches the vertical position is mg.
What is tension of spring?
At the vertical position, the tension in the string will be equal to the weight of the pebble. Therefore, the tension in the string is:
T = mg
where m is the mass of the pebble and g is the acceleration due to gravity.
Therefore, the tension in the string when it reaches the vertical position is mg.
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What is the formula of energy
Answer:
Hey Buddy!
Explanation:
This is ur answer....
E = mc^2Hope it helps!
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Have a good day ~
Answer:
The formula for energy is E = mc²,where E is energy, m is mass, and c is the speed of light.
◉‿◉
Asteroid A has 5.0 times the mass and 2.0 times the velocity of Asteroid B. If Asteroid B has a kinetic energy of 4,700,000 J then what is the kinetic energy of Asteroid A?
Asteroid A has a kinetic energy of 94,000,000 J.
What kind of energy does an asteroid possess?Such a body is predicted to strike the planet once per million years or so and produce energy about equal to 10,000 megatons of TNT, slightly more than the energy released during a nuclear war and sufficient to trigger a nuclear winter scenario (see graph above).
The following equation determines an object's kinetic energy:
KE = 0.5 * m * v².
Then, we could type:
m_A = 5.0 * m_B (mass of Asteroid A)
v_A = 2.0 * v_B (velocity of Asteroid A)
Asteroid B's kinetic energy is listed as 4,700,000 J. When we substitute the mass and velocity estimates for asteroid B, we obtain:
KE_B = 0.5 * m_B * v_B² = 4,700,000 J
Solving for the mass of Asteroid B, we get:
m_B = 2 * KE_B / v_B²
The equation for the mass of asteroid A is given by replacing this expression for m B with m A = 10 * KE B / v B².
The following results are obtained by substituting the two asteroids' masses and velocities in the kinetic energy formula:
KE_A = 0.5 * m_A * v_A²
= 0.5 * (10 * KE_B / v_B²) * (2 * v_B)²
= 20 * KE_B
As a result, asteroids A and B have kinetic energies that are 20 times greater than each other.
KE_A = 20 * 4,700,000 J
= 94,000,000 J
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Which statement about electric charges is correct? (1 point)
*two objects with negative charges will attract each other
*an object with a negative charge and an object with a positive charge will attract each other
*an object with a positive charge and an object with a negative charge will repel each other
*two objects with positive charges will attract each other
Answer:The correct statement about electric charges is:
"An object with a negative charge and an object with a positive charge will attract each other."
Explanation:
*an object with a negative charge and an object with a positive charge will attract each other" this statement is true.
What is charge ?Electric charge is the physical property of matter that experiences force when it is placed in electric field. F = qE where q is amount of charge, E = electric field and F = is force experienced by the charge. there are two types of charges, positive charge and negative charge which are generally carried by proton and electron resp. like charges repel each other and unlike charges attract each other. the flow charges is called as current. Elementary charge is amount of charge a electron is having, whose value is 1.602 x 10⁻¹⁹ C.
Hence option B is correct.
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If you want to increase the mechanical advantage of a machine, what do you also have to increase?
Group of answer choices
The distance the force is applied over while using the machine
The amount of force applied while using the machine
The amount of energy put into the machine while using it
The amount of time the force is applied while using the machine
Explanation:
The distance the force is applied over while using the machine.
LIGHT
L MULTIPLE CHOICE. Choose the best answer from the box provided.
Translucent
Reflected Rays
Transparent
Beam of light
Photometry
Incident Rays
or medium.
of one steradian
Non-Luminous Objects Luminous Objects
Candela
Brightness
Dispersion
Luminous Intensity
Refracted Rays
Light Ray
Opaque
1. It can be expressed as luminous intensity with a unit known as Candela.
2. It refers to the light traveling in one direction in a straight line.
3. Rays of light that point towards and strike a surface.
4. It is the fundamental unit of luminous intensity.
5. Allow light to easily pass through.
6. It is the process of splitting white light into its constituent colors ROYGBIV.
7. Rays that formed when a light goes through a surface and bend due to a change of material
8. It does not let light pass through.
9. It refers to the amount of light power emanating from a point source within a solid angle
10. It deals with the measurement of visible light as perceived by the human eye.
11. Allow light to pass through but distant the light during the passage.
12. It is a group of rays given out from a source.
13. These are objects that can not emit their own light.
14. Rays of light that bounce off of a surface.
15. Those that can not emit their own light.
1.Luminous Intensity-It can be expressed as luminous intensity with a unit known as Candela.
2.Light Ray- It refers to the light traveling in one direction in a straight line.
3.Incident Rays- Rays of light that point towards and strike a surface.
4.Candela- It is the fundamental unit of luminous intensity.
5.Transparent-Allow light to easily pass through.
6.Dispersion-It is the process of splitting white light into its constituent colors ROYGBIV.
7.Refracted Rays-Rays that formed when a light goes through a surface and bend due to a change of material.
8.Opaque- It does not let light pass through.
9.Photometry-It refers to the amount of light power emanating from a point source within a solid angle
10.Brightness-It deals with the measurement of visible light as perceived by the human eye.
11.Translucent- Allow light to pass through but distant the light during the passage.
12.Beam of light-It is a group of rays given out from a source.
13.Non-Luminous Objects- These are objects that cannot emit their own light.
14.Reflected Rays- Rays of light that bounce off of a surface.
15.Non-Luminous Objects-Those that cannot emit their own light.
What is Luminous intensity?Luminous intensity is a measure of the amount of light emitted from a point source in a particular direction per unit time. It is expressed in the SI unit of candela (cd).
Luminous intensity is a fundamental concept in photometry, which is the study of the measurement of visible light as perceived by the human eye. The luminous intensity of a light source depends on various factors such as the amount of power it emits, the wavelength of light, and the efficiency of the source in converting electrical energy into light.
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Help with (iii) and (iv) please:
A train consists of an engine and three trucks with masses and resistances to motion as shown in
Fig. 1. There is also a driving force of 37 000 N. All the couplings are light, rigid and horizontal.
(i) Show that the acceleration of the train is 0.3 ms2.
(i) Draw a diagram showing all the forces acting on truck Z in the line of its motion.
Calculate the force in the coupling between trucks Y and Z.
[3]
[4]
With the driving force removed, brakes are applied, so adding a further resistance of 11 000 N to
the total of the resistances shown in Fig. 1.
(iii) Calculate the new acceleration of the train.
(iv) Calculate the new force in the coupling between trucks Y and Z if the brakes are applied
(A) to the engine,
(B) to truck Z
In cach case state whether the force is a tension or a thrust.
[2]
[6]
(i) The total force acting on the train is the driving force minus the total resistance to motion. The total resistance to motion is the sum of the resistances of the three trucks. Therefore, the total force acting on the train is:
F = 37,000 N - (1,200 kg + 900 kg + 600 kg) ₓ 9.8 m/s² = 37,000 N - 25,740 N = 11,260 N
The acceleration of the train is given by the formula:
a = F / (m1 + m2 + m3) = 11,260 N / (1,200 kg + 900 kg + 600 kg) = 0.3 m/s²
Therefore, the acceleration of the train is 0.3 m/s².
(ii) The forces acting on truck Z are the driving force, the force in the coupling between trucks Y and Z, and the resistance to motion of truck Z. The diagram showing all the forces acting on truck Z in the line of its motion is:
Driving force ≥ Truck Z ≤ Force in coupling Y and Z ≤ Resistance to motion of truck Z
(iii) With the driving force removed and brakes applied, the total resistance to motion is the sum of the resistances of the three trucks and the additional resistance due to the brakes. Therefore, the total resistance to motion is:
R = (1,200 kg + 900 kg + 600 kg) ₓ 9.8 m/s²+ 11,000 N = 25,740 N + 11,000 N = 36,740 N
The total force acting on the train is the total resistance to motion. Therefore, the acceleration of the train is:
a = F / (m1 + m2 + m3) = 0 / (1,200 kg + 900 kg + 600 kg) = 0 m/s²
Therefore, the new acceleration of the train is 0 m/s².
(iv) When the brakes are applied to the engine, the force in the coupling between trucks Y and Z is equal to the resistance to motion of truck Z. Therefore, the force in the coupling between trucks Y and Z is:
F = 600 kg ² 9.8 m/s² + 11,000 N = 5,880 N + 11,000 N = 16,880 N
The force in the coupling between trucks Y and Z is a tension.
When the brakes are applied to truck Z, the force in the coupling between trucks Y and Z is equal to the resistance to motion of truck Z plus the resistance to motion of the engine and the trucks in front of truck Y. Therefore, the force in the coupling between trucks Y and Z is:
F = (600 kg + 900 kg + 1,200 kg) ₓ9.8 m/s² + 11,000 N = 17,640 N + 11,000 N = 28,640 N
The force in the coupling between trucks Y and Z is a thrust.
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The motion of objects in regard to other objects is called _____ motion.
Answer:
The motion of objects in regard to other objects is called relative motion.
Explanation:
Relative motion is the motion of an object in relation to another object or point. It is the description of the movement of an object with respect to a frame of reference or another object in motion. The concept of relative motion is used to describe the motion of objects in everyday life, such as the motion of a car on a highway relative to the motion of other cars or the motion of a person walking on a moving train relative to the motion of the train. The velocity and direction of an object's relative motion are determined by comparing its motion to the motion of a chosen reference point or object.
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A rock is launched horizontally by a slingshot. Once the rock is moving, there is a total of 45 J of energy stored in the isolated system.
How much energy was stored in the system before the slingshot went off and launched the rock?
Group of answer choices
more than 45 J because an isolated system gains energy as energy is converted from one form to another
Less than 45 J because an isolated system loses energy as energy is converted from one form to another.
There is no way to tell without knowing the speed of the rock
45 J, because the initial and final energy must be the same in an isolated system
The correct answer is 45 J, because in an isolated system, the total amount of energy remains constant.
The energy stored in the system before the slingshot went off and launched the rock must be equal to the energy stored in the system after the rock is launched, which is 45 J. Therefore, the correct answer is 45 J.
What is an isolated system?
An isolated system is a physical system that does not exchange any matter or energy with its surroundings. In other words, an isolated system is a closed system that does not allow the transfer of mass or energy across its boundary.
In an isolated system, the total amount of energy is constant. This means that energy cannot be created or destroyed, but it can be converted from one form to another. For example, if an isolated system contains a certain amount of thermal energy, this energy can be transferred from one part of the system to another, but the total amount of thermal energy in the system remains constant.
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Lola Is making breakfast. she makes toast, scrambles eggs, butters, the toast, fries bacon and squeezes oranges for orange juice. Of the tasks Lola completes, which ones were physical changes, Lola is making breakfast. She makes toast, scrambles eggs, butters the toast, fries bacon, and and how do you know? A- Answer the question: P- Provide evidence: E- Explain and expand:
A- When preparing breakfast, Lola undergoes the following physical changes: Butter the bread and fries the bacon. oranges are squeezed for orange juice
A- Answer the question: P- Provide evidence:Butter the toast: The heat of the toast causes the butter to gently melt when Lola spreads it on the bread. This is a physical modification because it only modifies the butter's and toast's physical characteristics, not their chemical makeup.
Fry bacon: When Lola fries the bacon, the heat melts the fat and denatures and coagulates the proteins, giving the bacon a crispy quality. This is likewise a physical modification because it only modifies the bacon's physical characteristics, not its chemical makeup.
Oranges are squeezed to produce orange juice. The juice is drawn from the orange cells and separated from the pulp when Lola squeezes oranges.
A- Answer the question: E- Explain and expand:A physical alteration is one in which just the substance's physical characteristics, such as shape, size, colour, or state, are altered. The substance's chemical makeup remains unchanged. The butter, bacon, and orange are all enduring physical modifications in the activities that Lola completes because they simply alter their physical characteristics without altering their chemical makeup. For instance, altering the physical qualities of things without altering their chemical makeup includes melting butter and bacon and extracting the juice from an orange.
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How can a water molecule from an apple eventually make its way inside a cloud and then back to Earth?
When an apple tree takes up water from the soil, it moves up through the roots, stems, and into the leaves. In the leaves, water is combined with carbon dioxide during photosynthesis to create glucose (sugar) and oxygen. Through transpiration, water is released from the leaves back into the atmosphere. This water vapor can then rise and eventually form clouds through a process called condensation, in which the water vapor cools and changes into liquid droplets or ice crystals. When the clouds become heavy with moisture, precipitation occurs, such as rain or snow, and the water droplets or ice crystals fall back to Earth. Therefore, a water molecule from an apple can eventually end up in a cloud and back to Earth through the natural water cycle.
A subway train starting from rest leaves a
station with a constant acceleration. At the
end of 7.06 s, it is moving at 12.2844 m/s.
What is the train’s displacement in the first
5.39384 s of motion?
Answer in units of m.
The train's displacement in the first 5.39384 s of motion is 24.0 m.
Steps
We can use the kinematic equation:
v = u + at
where:
v = final velocity = 12.2844 m/s
u = initial velocity = 0 m/s (train starting from rest)
a = acceleration
t = time = 7.06 s
Solving for acceleration:
v = u + at
a = (v - u) / t
a = (12.2844 m/s - 0 m/s) / 7.06 s
a = 1.736 m/s²
Now, we can use another kinematic equation to find the displacement in the first 5.39384 s:
s = ut + 0.5at²
where:
s = displacement
u = initial velocity = 0 m/s
a = acceleration = 1.736 m/s²
t = time = 5.39384 s
s = 0 + 0.5(1.736 m/s²)(5.39384 s)²
s = 24.0 m
Therefore, the train's displacement in the first 5.39384 s of motion is 24.0 m.
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What type of system is represented by the image below?
Group of answer choices
Isolated system
Closed system
Open system
Semi-open system
Answer:
This is an open system
Explanation:
By the definition
"An open system is a system that has flows of information between the system and its environment, and which adapts to the exchange"
In the above diagram
The system and the surroundings are interacting
Hence it is an open system (Option 3)
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Explanation:
most would say "closed system". so, this is the correct answer, although I personally disagree with that term.
an open system allows matter and energy to be exchanged with the surroundings.
a closed system allows energy to be exchanged with the surroundings. and this contradicts in my opinion the word "closed". not to forget : matter is energy and energy is matter.
an isolated system exchanges neither matter nor energy with the surroundings. there is no such thing like a 100% isolated system (except maybe - MAYBE - the whole universe).
there are semi-open systems in various branches of engineering, but I am not aware of such a generic system type in general physics.
Ackee
Ackee is a unique fruit in that it has a lot of fat, a very unusual feature for a fruit. This
has caused many persons to think that eating it may be unhealthy.
False statements like "eating ackees will increase a man's risk of prostate cancer" are
still being made, even by health professionals. On the contrary, the fruit is not only
delicious, but also a very healthy food choice.
The scientific name for our national fruit, ackee, is Blighia Sapida. Ackee was named
after Captain William Bligh, an English sailor who took the fruit from Jamaica to
England, in 1793. It is originally from West Africa. Jamaica is the only place where
the fruit is extremely popular among locals and tourists. However, it has been
introduced into most of the other Caribbean islands (for example, Trinidad, Grenada,
Antigua and Barbados) as well as Central America and Florida.
The Pan American Health Organization states that the ackee is a good source of
healthy fats and an excellent source of good fats in the Jamaican diet.
Traditionally, ackee is cooked with salt fish to produce an often oily meal.
Unfortunately, the type of oil used in cooking ackee and salt fish often contains
unhealthy fats. These 'bad' fats or excess salt in the salt fish may be responsible for the
view that ackee is bad for you. The ackee itself is a very healthy food. Today, there
are many ways to prepare healthy and tasty ackee dishes, without using cooking oils
that may be harmful.
Ackee contains no cholesterol or unhealthy fat, and I have not found any scientific
evidence to suggest that ackee causes prostate cancer.
It is important to distinguish between the health benefits of the ackee fruit itself and the potential negative health effects of the oil used in cooking it with salt fish.
Ackee is actually a healthy fruit that contains good fats, including omega-3 and omega-6 fatty acids, which are important for heart health and brain function. It is also a good source of protein, dietary fiber, vitamins, and minerals, including vitamin C, calcium, and potassium.
However, it is true that the oil used to cook ackee with salt fish can be unhealthy, depending on the type of oil used. Traditional cooking methods often involve using oils high in saturated or trans fats, which can contribute to heart disease and other health problems. To make ackee dishes healthier, it is recommended to use healthier cooking oils, such as olive oil or coconut oil, and to limit the amount of salt fish used in the dish.
Overall, ackee is a healthy and delicious fruit that can be enjoyed as part of a balanced diet. However, it is important to be mindful of how it is prepared and cooked to ensure that it is not combined with unhealthy ingredients that can detract from its nutritional value.
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A temperature of 170 moles of monoatomic ideal gas with a ratio =1.600 confined in a cylinder was increased from 120oC to 175oC at a uniform atmospheric pressure (1 atm). The cylinder was covered with a piston and the volume increases by 4.2 x 10-3 cm3. Calculate the amount of heat transferred.
2.83 × 105 J of heat are transferred in this operation.
When an originally T1-degree monoatomic ideal gas is contained in a cylinder with a frictionless?In the beginning, at temperature T1, a monoatomic ideal gas is contained in a cylinder with a frictionless piston. The gas is allowed to adiabatically expand until it reaches a temperature. T2 by abruptly releasing the piston. T1T2 is determined by if L1 and L2 are the lengths of the petrol column before and after expansion, respectively.
Q = nCv(T2 - T1)
where Q is the amount of heat transferred, n is the number of moles of gas, Cv is the molar specific heat at constant volume, and T2 and T1 are the final and initial temperatures, respectively.
n = 170 moles
Next, we need to find the molar specific heat at constant volume. Cv equals (3/2)R for a monoatomic ideal gas, where R is the gas constant. R = 8.31 J/(mol K) can be used to determine:
Cv = (3/2)*8.31 J/(mol K) = 12.5 J/(mol K)
Q = (170 mol)(12.5 J/(mol K))(175oC - 120oC) = 2.83 × 105 J
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After rubbing two balloons against a sweater, each are held 0.75 meters apart. One balloon has a charge of 2.6 E−6 C. The other balloon has a charge of 2.2 E−7 C. Calculate the electrical force between them.
Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits
Given:
Charge of balloon 1, q1 = 2.6 x 10^-6 C
Charge of balloon 2, q2 = 2.2 x 10^-7 C
Distance between the balloons, r = 0.75 m
Electric constant, k = 9 x 10^9 N m^2 C^-2
Unknown:
Electric force between the balloons, F
Formula:
Coulomb's Law: F = k * q1 * q2 / r^2
Substituting the given values into Coulomb's Law:
F = (9 x 10^9 N m^2 C^-2) * (2.6 x 10^-6 C) * (2.2 x 10^-7 C) / (0.75 m)^2
Simplifying the expression:
F = 6.05 x 10^-4 N
Therefore, the electric force between the two balloons is 6.05 x 10^-4 N, with three significant digits.
It takes 15 seconds for a sound to reach your ear. If the speed of sound is 344 m/s, how far away is the sound?
Answer:22.93 meters
Explanation: you take d=t/s and then divide
37 A system consists of three particles with masses of 1
kg, 2 kg, and 3 kg, respectively. The particles are
located at positions (-1, 0), (2, 0), and (0, 4) on the xy-
plane.
(a) Find the coordinates of the center of mass of the
system.
(b) (b) Find the velocity of the center of mass if the
particles have velocities of (-2, 0), (1, 0), and (0, -3)
m/s, respectively.
Answer: read your book or get a tutor man
Explanation:
what are complementary angles and supplementary angles difference between them
Answer:
Complementary Angles and Supplementary Angles: Differences and Definitions
Complementary angles and supplementary angles are two common types of angles in geometry. Although they are related concepts, they have different definitions and properties. Here is a brief explanation of the differences between complementary angles and supplementary angles:
Complementary Angles:
Complementary angles are two angles whose sum is equal to 90 degrees. In other words, when two angles are complementary, they add up to a right angle. Complementary angles are denoted as "∠A" and "∠B", where ∠A + ∠B = 90°.
For example, if one angle measures 30 degrees, the complementary angle would measure 60 degrees, since 30 + 60 = 90. Another example of complementary angles would be 45 degrees and 45 degrees, since 45 + 45 = 90.
Supplementary Angles:
Supplementary angles are two angles whose sum is equal to 180 degrees. In other words, when two angles are supplementary, they add up to a straight angle. Supplementary angles are denoted as "∠C" and "∠D", where ∠C + ∠D = 180°.
For example, if one angle measures 60 degrees, the supplementary angle would measure 120 degrees, since 60 + 120 = 180. Another example of supplementary angles would be 90 degrees and 90 degrees, since 90 + 90 = 180.
Differences:
The main difference between complementary angles and supplementary angles is the sum of their measures. Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. Another difference is the types of angles that they form. Complementary angles form a right angle, while supplementary angles form a straight angle.
In conclusion, complementary angles and supplementary angles are two common types of angles in geometry. Complementary angles add up to a right angle of 90 degrees, while supplementary angles add up to a straight angle of 180 degrees. Understanding the differences between these types of angles is essential for solving problems in geometry and trigonometry.
Explanation:
Answer:
complementary angles start from 90 degree and supplementary start after 180 degree