A. The angle of refraction is 35°
B. The critical angle is 42°
A. How do I determine the angle of refraction?We can determine the angle of refraction as follow:
Angle of incidence (i) = 60°Index of refraction of glass (n) = 1.5Angle of refraction (r) =?n = Sine i / Sine r
1.5 = Sine 60 / Sine r
Cross multiply
1.5 × Sine r = Sine 60
Divide both sides by 1.5
Sine r = Sine 60 / 1.5
Sine r = 0.5774
Take the inverse of Sine
r = Sine⁻¹ 0.5774
r = 35°
Thus, the angle of refraction is 35°
B. How do i determine the critical angle?The critical angle can be obtain as shown below:
Index of refraction of glass (n) = 1.5Critical angle (C) =?Sine C = 1 / n
Sine C = 1 / 1.5
Sine r = 0.6667
Take the inverse of Sine
C = Sine⁻¹ 0.6667
C = 42°
Thus, the critical angle is 42°
C. Why would the ray not emerge from side KL?When light travels from less dense to denser medium, it bends towards the normal. Glass is denser than air, so when light passes from air into glass it bends towards the normal.
From the given diagram, we can see that the normal is perpendicular to side LM if drawn to meet it. Since the ray bends toward the normal, it therefore means it can not emerge through side KL.
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Hang the block of mass 50 g to the spring on the left and measure the period of oscillation T using the stop watch located on the right of the screen (drag the stop watch outside its box). It might be easier if Slow speed is selected. Repeat ten times your measurements of the period and record your data.
What is average value of T? What is the standard deviation of T? Use your average value of T and Eq to find the sprint constant k (N/m)
Once the average value of T and its standard deviation are determined, the spring constant k can be calculated using the equation k = 4π^2m/T^2, where m is the mass of the block.
To find the average value of T, the ten measurements of T are added together and divided by ten. The standard deviation of T is calculated using the formula that involves finding the square root of the variance.
This experiment aims to demonstrate the relationship between the period of oscillation and the spring constant of the spring. By measuring the period of oscillation of the spring with a known mass hanging from it, the spring constant can be determined, which is a fundamental property of the spring.
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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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A physics professor is pushed up a ramp inclined upward at an angle 29.0 ∘
above the horizontal as he sits in his desk chair that slides on frictionless rollers. The combined mass of the professor and chair is 90.0 kg. He is pushed a distance 2.55 m
along the incline by a group of students who together exert a constant horizontal force of 610 N. The professor's speed at the bottom of the ramp is 2.15 m/s. Use the work-energy theorem to find his speed at the top of the ramp.
The speed of the professor and his chair at the top of the ramp is 3.47 m/s.
What is work energy theorem?The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy. In this problem, we can use this theorem to relate the work done by the students to the change in the kinetic energy of the professor and his chair.
We can start by finding the gravitational potential energy of the professor and his chair at the top and bottom of the ramp. At the top of the ramp, the gravitational potential energy is:
U_top = mgh_top
= (90.0 kg)(9.81 m/s^2)(2.55 m)sin(29.0∘)
= 985.2 J
where;
g is the acceleration due to gravity and h_top is the height of the top of the ramp relative to some reference level (we assume that the reference level has zero potential energy).At the bottom of the ramp, the gravitational potential energy is:
U_bottom = mgh_bottom
= (90.0 kg)(9.81 m/s^2)(0 m)sin(29.0∘)
= 0 J
since the bottom of the ramp is the reference level.
The initial kinetic energy of the professor and his chair is:
K_i = (1/2)mv_i^2
= (1/2)(90.0 kg)(2.15 m/s)^2
= 214.84 J
where;
v_i is the initial speed of the professor and his chair at the bottom of the ramp.The final kinetic energy of the professor and his chair at the top of the ramp is:
K_f = (1/2)mv_f^2
where;
v_f is the speed we want to find.Since the rollers are frictionless, the only work done on the professor and his chair is the work done by the students. Therefore, the net work done on the professor and his chair is:
W_net = F_horizontal*d
= (610 N)(2.55 m)
= 1555.5 J
According to the work-energy theorem, the net work done on the professor and his chair is equal to the change in their kinetic energy:
W_net = K_f - K_i
Substituting the expressions for W_net, K_f, and K_i, we get:
1555.5 J = (1/2)(90.0 kg)(v_f^2) - 214.84 J
Solving for v_f, we get:
v_f = √[(2(1555.5 J + 214.84 J))/(90.0 kg)]
= 3.47 m/s
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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.
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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what effect does density have on transverse waves
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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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
hope this helps
without adding more source of light, how can a barber enhance the lighting in his salon?
Answer:
1. Change or upgrade existing light fixtures to more energy-efficient options such as LED bulbs, for better illumination.
2. Make use of natural light by installing higher windows or skylights, to let in additional sunlight during daytime.
3. Paint walls and ceilings in bright colors, to reflect light and make the room brighter.
4. Rearrange furniture and accessories in the salon to maximize the use of available light.
5. Utilize wall-mounted mirrors for reflection, to increase the brightness in the room.
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
The map shows Earth's ntinent
reached from the information on the map?
Volcanoes are scattered randomly across Earth.
Volcanoes are only located along edges of continents.
Volcanoes are mostly located along boundaries between
plates.
Volcanoes are distributed equally in the Northern and
Southern Hemispheres.
K
SUBMIT
1:44/26:58 Earths continents >
World Map of Continents
HutH
Continents, Plates, and Volcanoes on Earth
Source: United States Geological Survey
HALL
Expand+
-active volcano
plate boundary line
-equator
8
CC
✿
Answer:
1:44/26:58 earths continents>would Map of continent
Devices in our homes need to have a steady amount of electric energy to work correctly. Based on your observations, do you think our homes mainly have series circuits or parallel circuits? Explain.
Answer:Here’s one possible answer:
The brightness of the bulbs in the parallel circuit stayed the same even when there were multiple bulbs on the circuit. Adding a second bulb to the series circuit dimmed each bulb. Homes must have mainly parallel circuits, because the brightness of the bulbs stays the same.
Explanation: edmentum answer
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)
Hope it helps
Please mark brainliest :)
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.
You make a guitar body from a cigar box that can vibrate with an oscillation frequency of 300 Hz and has a damping timr of 0.005 seconds. The guitar had a string on it that is tuned to C2 = 66 Hz.
(a) Draw the resonance curve of the cigar box.
(b) Draw the Fourier spectra of the string if plucked close to one end, without considering the role of the cogar box.
(c) Now draw what the Fourier spectra of the string will look like if it is attached to the cigar box, which amplifies certain frequencies more than others. Assume the string is plucked close to one end.
(a) The resonance curve of cigar box would be a plot of vibration amplitude versus frequency; (b) The Fourier spectra of string without considering role of cigar box would show the various harmonic frequencies ; (c) The Fourier spectra of string will show stronger peak at resonant frequency of cigar box (300 Hz).
What is resonance curve?Resonance curve is the curve whose abscissas are frequencies lying near to and on both sides of natural frequency of vibrating system and whose ordinates are corresponding amplitudes of near-resonant vibrations.
(a) The resonance curve of cigar box would be a plot of the vibration amplitude versus frequency. It would show that cigar box has resonant frequency of 300 Hz, which means that it will vibrate more easily at this frequency than at others.
(b) The Fourier spectra of the string without considering the role of the cigar box would show the various harmonic frequencies that the string can produce when plucked. It would be a series of peaks at integer multiples of fundamental frequency (C2 = 66 Hz), with decreasing amplitude as frequency increases.
(c) When the string is attached to cigar box, resonance curve of the cigar box will affect the frequencies that are amplified more than others. The Fourier spectra of string will show a stronger peak at the resonant frequency of the cigar box (300 Hz), and possibly some harmonics that are also amplified by the cigar box. The amplitudes of other harmonics may be reduced due to damping, so the overall spectra will be modified by resonant properties of cigar box.
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What is the formula of energy
Answer:
Hey Buddy!
Explanation:
This is ur answer....
E = mc^2Hope it helps!
Brainliest pls!
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.
◉‿◉
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.
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
The table below shows data of sprints of animals that traveled 75 meters. At each distance marker, the animals' times were recorded.
Which animal moves with accelerated motion?
Animal 1
Animal 2
Animal 3
Animal 4
Answer: Animal 1
Explanation: animal 1 has the shortest seconds of running fast dunununun
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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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.
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:
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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A 5.0 g mouse races around a 65-cm-diameter horizontal tack. What is the minimum coefficient of static friction between the track and the mouse’s feet that allows the mouse to run at 1.4 m/s without slipping?
Answer:0.62
Explanation:
mv*2/rg
(1.4)*2*2/65*10*-2 *9.8
=0.615
This impossible, since the coefficient of static friction cannot be greater than 1.0 and therefore, the mouse cannot run at 1.4 m/s without slipping on this track.
What is static friction?The Force that keeps any object at the rest is called as static friction.
As, Fc = mv² / r
m is the mass of the mouse, v is its velocity, and r is the radius of the track (not the diameter). r = 0.5 * 65 cm = 32.5 cm = 0.325 m.
Fc = (5.0 g) x (1.4 m/s)² / 0.325 m
= 31.96 g m/s²
= 0.313 N
Ff = μs * N
Here, μs is coefficient of static friction and N is normal force acting on mouse.
N = mg
= (5.0 g) x (9.81 m/s² )
= 0.049 N
μs = Ff / N
= (0.313 N) / (0.049 N)
= 6.39
This is impossible, since the coefficient of static friction cannot be greater than 1.0 Therefore, the mouse cannot run at 1.4 m/s without slipping on this track.
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What does "resistance" refer to in terms of electron flow?
Answer:
In terms of electron flow, "resistance" refers to the opposition that a material or device offers to the flow of electric current through it.
Explanation:
When electrons flow through a conductor, they encounter resistance due to collisions with the atoms of the material, which cause them to lose energy and slow down. This resistance to electron flow causes a drop in voltage and generates heat, which is dissipated by the conductor.
Resistance is measured in ohms (Ω), and it is influenced by various factors such as the size, shape, and material of the conductor, as well as the temperature and the current flow. Materials that have a high resistance are known as insulators, while materials that have low resistance are known as conductors.
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.
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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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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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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define polarization
how can we remove it
Answer:
Polarization is a defect which is caused due to the formation of a hydrogen layer on the copper plate in a simple cell
Explanation:
we can remove it by using the polarizer like potassium dichromate, copper sulphate etc
Answer:
In physics, polarization refers to the orientation of electric field vectors in an electromagnetic wave. When an electromagnetic wave passes through a transparent material such as glass, some of the light waves may be polarized, meaning their electric field vectors vibrate in only one plane or direction.
Polarization can be removed by certain methods such as by using a polarizing filter. A polarizing filter works by allowing only light waves of a particular orientation to pass through along its axis. Any other polarized light waves that are not aligned with the filter axis will be blocked, effectively removing their polarization. Another method involves changing the angle of incident light to a certain degree called Brewster's angle, which causes the reflected light to become polarized.
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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