(a) The potential energy of the system to the conservative force acting on the particle, with Ui=0:
(b) From (a), U(2.00m)=2A–2.67B, and U(3.00m)=4.5A–9B.
ΔU=(4.5A−9B)−(2A−2.67B)=2.5A−6.33B
(c) For the entire system of which this particle is a member, this work is internal work and equal to the negative of the change in potential energy of the system: ΔK=−ΔU=−2.5A+6.33B.
Define kinetic energy?The ability of kinetic energy to perform work is arguably its most significant quality. Work is defined as a force operating on an object while it is moving. Energy and work are equivalent because of their tight relationship.It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.Thermal energy is also known as heat energy. The power behind motion is known as kinetic energy. Thermal energy is a type of kinetic energy because it is generated by moving particles.To learn more about kinetic energy refer to:
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At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.0 m/s, and an 83-kg person feels a 545-N force pressing against his back. What is the radius of a chamber
When the outer wall moves at a speed of 3.0 m/s, and an 83-kg person feels a 545-N force pressing against his back then the radius of a chamber is 8.5 meters.
The radius of the chamber can be calculated using the equation
F = mv²/r, where F is the force felt by the person, m is the mass of the person, v is the velocity of the chamber and r is the radius of the chamber. In this case, F is 545 N, m is 83 kg, and v is 3.0 m/s.
Plugging in these values, we get
r= mv²/F
r= 83×3²/545
r = 8.5 m.
Therefore, the radius of the chamber is 8.5 m.
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Suppose you are pushing a stalled car. As the car gets going, you need less and less force to keep it going. For the first 15 m, your force decreases at a constant rate from 210.0 N to 40.0 N. How much work did you do on the car
The work done during this period will be 1875 J. It will be positive if the body is displaced in the same direction of the force.
Work done can be defined as the product of applied force and the distance through which the body is displaced where the force is applied.
The value of work can be zero, positive and negative. It depends on the direction of the body displaced.
Data given in the question is;
Let F be the average force applied by the worker
D is the displacement = 15 m
The average force is ;
[tex]F_{avg=\frac{F1+F2}{2}[/tex]
[tex]F_{avg=\frac{210+40}{2}\\[/tex]
[tex]F_{avg=125 J[/tex]
The work done by the worker will be:
W=Fd
W=125x15
W=1875 J
Hence the work done during this period will be 1875 J.
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1. A force of 60 Newtons is applied to the end of a wrench 0. 12 m long. How much torque is produced?
Answer: The amount of Torque produced is 7.2 Nm.
Explanation:
Given:
Force applied (F) to the end of a wrench = 60 Newton
Length of wrench = 0.12 meter
To find:
Quantity of Torque produced
Solution:
The quantity of Torque produced can be calculated from the following formula:
Ƭ = r F sin(θ)
Where,
Ƭ = Torque, r = radius, F = Force, (θ) = angle between F and the lever arm
In the given question,
r = 0.12,
F= 60,
(θ)= 900 {Since the force is applied at the end of a wrench, it must be perpendicular}
Torque (Ƭ) = 0.12* 60 * sin 900
= 7.2 m {sin 900 = 1}
Hence, in the given situation, 7.2 Nm Torque will be produced.
After falling for 5.5 seconds, what would be the final velocity of the object?
(Picture Provided)
Please I need help on this!
The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
What is Final velocity?
The second approach determines the amount of velocity change brought on by acceleration over a given period of time.
Finally, the average velocity formula is used in the third section of the velocity calculator, which may be helpful if you need to examine trips with varying speeds across different distances.
According to the definition of velocity, it is the rate at which an object's position changes over time. Consideration of body motion is one of the fundamental ideas in classical mechanics.
Therefore, The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
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if the bat and softball are in contact for 0.80m/s, what is the average force that the bat exerts on the ball
The changes in the momentum of the ball and the time over which that change occurs. The formula for average force is: average force = change in momentum/time.
Calculation-Given: The ball's mass is 0.144 kilogram.
speed v = 38 m/s, shift in momentum presently
P = m v- ( - mv) ( - mv)= 2 mv
=2 x (0.144) x (38) (38)
= 10.944 kg-m/s
t Impulse J=F.
The impulse is equivalent to the change in momentum.
J = 10.944 kg-m/s
What forces are at play when a baseball bat strikes a fastball?Think about how a baseball bat and a ball interact, for instance. The bat forces the ball to the right while the baseball forces the bat to the left. The action-reaction force pair is made up of these two forces acting on two different objects combined.
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Pitch a baseball horizontally at 38.0 m/s weighing 0.144 kg. The baseball moves in the opposite direction and at the same speed after being struck by the bat. What is the ball's change in momentum? What kind of impetus does the bat deliver? What was the average force the bat applied to the ball during the 0.80 milliseconds that they were in contact?
The height of an object is 10 cm, and the height of its image is 6 cm. What is the magnification?
Question 23 options:
4
16
0.6
1.67
magnification = [tex]\bf\dfrac{height of image}{height of object}[/tex]
= [tex]\bf\dfrac{6cm}{10cm}[/tex]
= 0.6
A capacitor has plates of area
3.61 x 10-4 m2 which are separated
by 4.72 x 10-6 m. What is its
capacitance?
[?] * 10?! F.
Answer:
6.76875 • 10 ^-10 F
Explanation:
You just follow the formula:
C = εA/d
ε = 8.85 • 10^-12
A = 3.61 • 10^-4
D = 4.72 • 10 ^-6
So:
C = (8.85 • 10^-12)(3.61 • 10^-4)/4.72 • 10 ^-6 = 6.76875 • 10 ^-10 F
Good Luck! :)
Please help I have to turn it in tomorrow
Answer:
i think the answer is a
Explanation:
hope i am right
Which organism is a producer
Answer:
Producers are organisms that create food from inorganic matter. The best examples of producers are plants, lichens and algae, which convert water, sunlight and carbon dioxide into carbohydrates. Consumers are organisms that cannot create their food.
The hanging mass is referred to as M and it sets the centripetal force.
True
False
Answer:
False
Explanation:
The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.
Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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What is transformation of energy
Answer:
Energy transformation
Explanation:
Energy transformation means the changing of energy from one type to another.
when a falling firecracker explodes, the momenta of its pieces _______.
when a falling firecracker explodes, the momenta of its pieces vectorially add up to equal the initial momentum of the firecracker.
When the firecracker bursts, the vector sum of the momenta of its fragments adds up to the firecracker’s momentum just before bursting.
A falling firecracker explodes into two pieces. The momenta of the fragments combine by vector rules to equal the original momentum of the falling firecracker. Momentum is equal to mass multiplied by velocity.
According to the conservation of momentum, the initial momentum of the system is equal to the final momentum. The condition for the validity of momentum conservation is that no external force should exert on the system.
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What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?
Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N potential is the energy.
What similarities and differences do kinetic and potential energy share?Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;
When compared to potential energy, is kinetic energy greater?Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.
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A system that has a total change in entropy of 675 J/K and has received 243 J of heat energy will be at what temperature?
The required temperature of the system which has a certain entropy change and receives heat energy is 273.36 °C.
Given that,
The change in entropy of the system = 675 J/K
Heat energy = 243 J
Temperature of the system = ?
The temperature of the system is calculated below.
ΔS = ΔH/T
where,
ΔH is the heat energy
ΔS is the change in entropy of the system
T = ΔH/ΔS = 243/675 = 0.36 K
By converting temperature in kelvin to temperature in degrees centigrade, we get,
T = 273 + 0.36 = 273.36 °C
Thus, temperature of the system which has a certain entropy change and receives heat energy is 273.36 °C.
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Breaking a Glass Soda Botle A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop-2.00 cm and the bottom of the bottle has a diameter of Dbot 6.50 cm. The glass breaks when it is exposed to Pmax = 70.0 MPa of pressure A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480 kg and moves downward at a speed of vi = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t 1.20×10-4 s . In this problem, the positive direction is upward Part A What is the force that her fist exerts on the top of the bottle? Express your answer in newtons to three significant figures Hints 4.00x104 N Submit My Answers Give Up Correct Part B What is the magnitude of the force exerted on the bottom of the bottle?
The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.
F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N
The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.
A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2
F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N
How to calculate force in physics?In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.
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3. Calculate the force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts
on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth,
1. 2 x 10° km.
The force of gravity that Saturn (mass = 5. 7 x 1026 kg) exerts on a woman on Earth (mass = 61 kg) when Saturn is closest to Earth = 1. 2 x 10° km.
Explanation of the given answer:Formula used in step two. F = G m 1 m 2 r 2. Step 3: Determine the gravitational force.
Calculating the gravitational force is step three. F = 6.7 10 11 by changing the values in the formula above. 2 × 10 30 × 6 × 10 24 1 .5 × 10 11 2 F = 3 .
The formula for the gravitational constant of the universe is G = 6.674 x 10 - 11 m3/kg s2. Thus, this is the gravitational pull of the sun on the planet.
F = Gm1m2R2, where G is the gravitational constant of the universe. The gravitational force between two bodies of equal mass that are kept at an equal distance from one another constitutes the universal gravitational constant.
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NO LINK ANSWERS NEED HELP FAST
According to Charles Law, if a balloon filled up with nitrogen gas is warmed so that its temperature increases, which of the following would be the result?
A. The volume inside the balloon would increase
B. The pressure inside the balloon would increase
C. The pressure inside the balloon would decrease
D. The volume inside the balloon would decrease
Answer:
B would be the correct answer
Three loops of wire move near a long straight wire carrying a current as in the following figure. (a) What is the direction of the induced current, if any, in loop A? O clockwise O counterclockwise
O No current is induced. (b) What is the direction of the induced current, if any, in loop B? O clockwise O counterclockwise O No current is induced. (c) What is the direction of the induced current, if any, in loop C? O clockwise O counterclockwise O No current is induced.
(A) The current in the long straight wire produces a magnetic field that is perpendicular to its direction of flow.
What is Counter clockwise ?
Counter clockwise is a direction opposite to the usual clockwise direction. It is often used to describe the direction of rotation or movement, such as the turning of a wheel, the orbits of planets, or the hands of a clock. Counterclockwise motion can also be referred to as "widdershins" or "anticlockwise."
This magnetic field interacts with the loops of wire, inducing a current in them. The direction of the current in loop A is clockwise due to the right hand rule.
(B) No current is induced. Since the flux through loop B is not changing, no induced current is created.
(C) No current is induced. Since loop C is not moving, the changing magnetic field will not induce any current in it.
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Complete Questions:
(a) What is the direction of the induced current, if any, in loop A?
A) clockwise
B) counterclockwise
C) No current is induced.
(b) What is the direction of the induced current, if any, in loop B?
A clockwise
B counterclockwise
C No current is induced.
(c) What is the direction of the induced current, if any, in loop C?
A clockwise
B counterclockwise
C No current is induced.
A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision.
The final velocity of the red-blue carts system is 5 cm/s.
What is the final speed of the two carts after collision?
The final speed of the two carts, that is the red cart and the blue cart system after the collision is calculated by applying the principle of conservation of linear momentum.
Pi = Pf
m₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is mass of the red cartm₂ is the mass of the blue cartu₁ is initial velocity of the red cartu₂ is the initial velocity of the blue cartv is the final velocity of the two carts after the collisionm₁u₁ + 0 = v ( m₁ + m₂ )
m₁u₁ = v ( m₁ + m₂ )
v = ( m₁u₁ ) / ( m₁ + m₂ )
The final velocity of the red-blue carts system is calculated as;
v = ( 50 kg cm/s ) / ( 5 kg + 5kg )
v = 5 cm/s
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The complete question is below:
A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision. What is the final velocity of the two carts system after the collision if the mass of the blue cart is 5 kg.
Which of the following accurately states the claim made by special relativity?
A. The speed of light in a vacuum is the same for stationary frames
of reference.
B. The speed of light in a vacuum is faster for accelerating frames of
reference.
C. The speed of light in a vacuum is the same for all frames of
reference.
D. The speed of light in a vacuum is slower for frames of reference
that have a constant velocity.
Answer:
The Answer is C
The speed of light in a vacuum is the same for all frames of reference.
Explanation:
Answer:
C .The speed of light in the vacuum is same for all frames of reference.
Explanation:
What do you understand by frame of reference?A set of abstract coordinate system that explains the position or motion of something mathematically and physically by the set of reference points and geometric points.
What is Special relativity ?
It explains the effect on mass ,time and space by the speed . It also relates the speed of light , mass and energy.
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Warm air rising at the equator and cold air sinking at the poles is one reason for which type of movement of air?
Answer:
Convection cells
Explanation:
As the cold air moves away from poles, it begins to warm up. This warm air now becomes lighter and the pressure drops significantly at 60° N and 60° south latitude. The air from poles further gushes into these belts because the low pressure created. Thus, convection cells are formed because this rise and fall of air in circular pattern.
Hence, the name given is convection cells.
A physics student has a battery and three equal resistors. If she uses all of the
resistors, how should she arrange them in a circuit to obtain the largest current flow
through the battery and the total circuit?
O parallel
series
Question: A physics student has a battery and an assortment of resistors. If she uses all of the resistors, how should she arrange them in a circuit to obtain the maximum current flow through the battery and the circuit?
Ans: she should arrange them in parallel
We have that It has to be in series in order too obtain the smallest current drop across the circuit.
SeriesOption B
Charge FlowGenerally, voltage drops in a series circuit just as current drops across a parallel circuit
Therefore, we have that three batteries arranged in series, It has to be in series in order too obtain the smallest current drop across the circuit.
Series
Option B
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A 20.0 N force is applied at an angle of 40.0 degrees above the horizontal to a 4.00 kg box. The box moves a horizontal distance of 4.00 meters. Friction is negligible. The work done by the 20.0 N force is
a. 61.3 J.
b. 46.3 J.
c. 50.1 J.
d. 75.0 J.
Answer:
The work done by the 20 N force is 61.3 J
Explanation:
20 N Force at horizon is: F=20 N*cos 40=15.32 N
The work done by 20 N at horizon is: W=F*S=15.32 N* 4 m=61.3 J
Answer:
The work done by the 20 N force is 61.3 J
Explanation:
Roughly what percentage of matter in the universe is identical to the type of matter that comprises the planets and stars
Approximately 27% of everything in the universe is dark matter, with dark energy making up 68%. This means that all the visible matter we can see, including galaxies, stars and planets, only represents 5% of everything that exists.
What is the matter of the universe?The matter of the universe is a complex and ongoing question that scientists are still working to answer. Generally, it is believed that the universe is composed of dark matter, dark energy, and ordinary matter.
Dark energy is thought to be the energy that is causing the universe to expand, while dark matter is an unseen form of matter that is believed to make up about 27% of the universe. Ordinary matter is the form of matter that makes up:
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how to say hi in french
Explanation:
Bonjour
it is hi or hello you can also say the name after
Example:Bonjour(say the name of the person you want to greet)
Answer:
Bonjour
Explanation:
Its just bonjour, you could always expand and say more then just Hi though.
1. Identify Which of the following is not a factor of global climate change:
a. slight changes in Earth’s tilt
b. movement of continents
c. reversing of the magnetic poles
d. increase or decrease of solar energy
Answer:
B.movement of continents
Suppose a molecule has neutrons, a Coulomb total electric charge, and electrons. About how many protons must it have
molecule possesses neutrons and a total electric charge of one Coulomb. e is the electronic value, 1.60 x 10-19 Coulombs, and the proton has a cost of +e while the electron has a fee of -e.
How much is one coulomb?The quantity of charge carried by a present of one amp for one second is measured in coulombs, which is the unit of measurement used in the SI for electric charge. It may also be a quality of a substance that causes magnetic and electric effects to occur. The symbol for it is C. According to math, 1 Coulomb equals 1 Ampere x 1/sec.
A coulomb quizlet: what is it?A coulomb is an unit of power charge that represents the charge that is transmitted over one ampere of current in one second. Colomb's rule. depending on the charged items, electric force.
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A 600 g steel block rotates on a steel table (μk = 0.6) while attached to a 1.0 m long hollow tube. Compressed air fed through the tube and ejected from a nozzle on the back of the block exerts a thrust force of 4.2 N perpendicular to the tube. The maximum tension the tube can withstand without breaking is 50 N. If the block starts from rest, how many revolutions does it make before the tube breaks?
If the block starts from rest, then revolutions that it make before the tube breaks is 0.947 rotations.
What is meant by revolution?When object turns around an internal axis, it is called a rotation. When object circles an external axis, it is called revolution.
Given mass of block = 600 g = 0.6 kg ; Radius of rotation = 1.0 m-long
Given thrust force of 4.2 N
The maximum tension is 50 N.
As thrust is perpendicular to the tube. So, tangential component of the thrust force is Ft=4.2 N and radial component Fr=0
As we know, α = F/m r
= 4.2/0.6 * 1
α = 7 rad/s²
As, m r ω²= 50 N
ω² = 50/ 0.6 * 1.0
ω = 9.128 rad/s
Ф = ω² - ω0²/2α
= (9.128² - 0)/2 * 7
Ф = 5.951 rad
As 1 Radians = 0.1592 Rotations,
5.951 rad = 0.947 rotations.
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An elaborate pulley consists of four identical balls at the ends of spokes extending out from a rotating drum. A box is connected to a light, thin rope wound around the rim of the drum. When it is released from rest, the box acquires a speed V after having fallen a distance d. Now the four balls are moved inward closer to the drum, and the box is again released from rest. After it has fallen a distance d, will its speed be equal to V, greater than V, or less than V? Show or explain why.
Answer:
its speed will be less than V
Explanation:
When the ball falls a distance d, its final kinetic energy plus rotational kinetic energy of the drum equals its initial potential energy.
K = U
With its speed V at the end of d, we have
1/2mV² + 1/2Iω² = mgd where I = rotational inertia of drum and balls, ω = angular speed of drum and balls and m = mass of box
1/2mV² + 1/2Iω² = mgd
1/2mV² = mgd - 1/2Iω²
V² = [2(mgd - 1/2Iω²)/m]
V = √[2(mgd - 1/2Iω²)/m]
When the four balls are moved inward closer to the drum, their rotational inertia increases and also its angular speed which thus causes an increase in rotational kinetic energy. But, since the box still falls the same distance of d, its final kinetic energy plus rotational kinetic energy of the drum plus balls still equals its initial potential energy
K = U
I' = new rotational inertia of drum and balls, ω' = new angular speed of drum and balls
With its new speed is now V' at the end of d,
1/2mV'² + 1/2I'ω'² = mgd
1/2mV'² = mgd - 1/2I'ω'²
V² = [2(mgd - 1/2I'ω'²)/m]
V' = √[2(mgd - 1/2I'ω'²)/m]
Since I' and ω' increase, the rotational kinetic energy of the drum and balls (1/2I'ω'²) increases. Thus, the difference (mgd - 1/2I'ω'²) < (mgd - 1/2Iω²) which implies that the kinetic energy of the box decreases. Hence, since its kinetic energy decreases, its speed V' also decreases.
So, V' < V
So, its speed will be less than V.