Lab 7
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Dec 6, 2023
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Masses, Springs, and Energy
Name Lab Procedure
– Answer questions in red. Requires Adobe Flash to be enabled. Download and run the HTML5 “masses-and-springs_en.html”. Click “Lab” icon. It should look like the screen below. Click the “stopwatch” selection to display a stopwatch.
Also select “Show Energy” of mass 3.
1.
Play with this simulation for a while. Try to figure out what all the controls do. a)
With the damping slider set 1/6 of the way and the spring constant set about 1/3 of the full scale, describe what happens when you hang the 100g mass onto spring 3. The spring oscillates up and down and eventually comes to a stop.
Simranpreet Cheema
b)
Figure out a way to determine the value of the spring constant of the spring. You will need to use the yellow ruler. Explain your reasoning. What to you calculate? First use the yellow ruler to measure the initial and final lengths of the spring.
F(spring)=-k*x k=spring constant x=springs extension
K=F(spring)/x
K=(0.1*9.8)/0.66
K=1.48 N/m
c)
With the 100g mass at rest on the spring, describe the contributions to the total energy of the mass-spring combination. You can neglect “thermal energy”. The contributions to the total energy of the mass-spring combination include gravitational potential energy and elastic potential energy. d)
Using your mouse, drag the mass down on the screen until the gravitational potential energy reads zero. What can you say about the vertical position of the mass when its gravitational PE is zero? The vertical position has a height of 0 when its gravitational PE is zero. Gravitational energy can’t act on the mass at this height. e)
At the same point as in part (d), what has happened to the potential energy of the spring (PE elas)?
At the sane point as in part (d), the potential energy of the spring is at the its highest point
and makes up all of the total energy. f)
Clicking and dragging the mass, can you find a vertical position for the mass where the total energy of the mass-spring system is all gravitational potential energy? Why is there no spring potential energy at this point? The vertical position for the mass where the total energy of the mass-spring system is all gravitational potential energy is when the spring is at its natural length with no mass attached. There is no spring potential energy because there is no energy being stored. At this position, there would only be gravitational potential energy making up the total energy. g)
Now drag the mass still higher on the screen than in part f. Describe the contributions to the total energy (neglect thermal energy). Explain your observations. The contributions to the total energy include both gravitational potential energy and spring potential energy. Gravitational potential energy increases because heigh tof mass increase, and spring potential energy increases because the spring is more coiled so there is more stored energy. 2.
Remove the 100g mass from spring 3. Move the spring constant to just over 1/2 position on the slider (fifth mark from the left). a)
Using masses again, calculate the new spring constant of the spring. Explain your method.
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Related Questions
Instructions
1. Write your complete solution for each item. It should be handwritten.
2. Make sure to simplify your answers and box/underline/highlight your final answer.
A. Solve the following problems.
17F1
3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to
10 in. Find the work done in stretching the spring from its natural length to 12 in.
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What was his kinetic energy at the moment he was 75m from the waters surface? What was his speed at that moment?
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Suppose a force of 60 N is required to stretch and hold a spring 0.1 m from its equilibrium position.
a. Assuming the spring obeys Hooke's law, find the spring constant k.
b. How much work is required to compress the spring 0.6 m from its equilibrium position?
c. How much work is required to stretch the spring 0.2 m from its equilibrium position?
d. How much additional work is required to stretch the spring 0.1 m if it has already been stretched 0.1 m from its equilibrium?
a. k=
(Type an integer or a decimal.)
b. Set up the integral that gives the work done in compressing the spring 0.6 m from its equilibrium position. Use decreasing limits of integration.
(Type exact answers.)
Find the work done in compressing the spring.
The work is
(Type an integer or a decimal.)
c. Set up the integral that gives the work done in stretching the spring 0.2 m from its equilibrium position. Use increasing limits of integration.
dx
(Type exact answers.)
Find the work done in stretching the spring.
The…
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Mini Task 1: Design a Roller coaster by accessing this link: https://www.learner.org/series/interactive-amusement-park-physics/
Have a picture or screen shot of your designed roller coaster.
Answer the following questions:
a. Where is the potential energy greatest?
b. Where is the kinetic energy greatest?
c. If the acceleration due to gravity value of 9.8 m/s/s is used along with an estimated mass of 500kg for the coaster car, the kinetic energy and potential energy and total mechanical energy can be determined. What is the total mechanical energy of the car at any point along the track (first hill, second hill)?
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A 150-g baseball is dropped from a height above the ground. a. That baseball traveling 10.00 m/s lands on a spring at ground level and compresses it 3.00 cm. What is the spring constant of that spring in kN/m? b. Can you ignore gravitational potential energy while solving part a? Explain. c. Ignoring wind resistance, how high was the baseball dropped from, in m?
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Please explain step by step, thanks.
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At its maximum speed, a 4 kg sloth can climb a
height of 6 m in 2 minutes.
A. What is the primary energy transformation that
is taking place?
B. What is the force required for the sloth to climb
at a constant speed?
C. How much work does this sloth do climbing the
tree?
D. How much does the potential energy increase?
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B. Answer the following questions in complete sentence.
1.Is the layman concept of work the same as its scientific counterpart?
2. When is work really done?
3. How can we strategically increase the work done on an object?
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Problem 1: Explain your work
An object is held against a compressed spring. When released
from rest it is pushed to the right along a horizontal surface, for
which there is friction. After reaching point B it moves along the
curved, frictionless surface. The mass m of the object, the spring
constant of the spring, k, the compression of the spring, x, the
k, x
coefficient of kinetic friction on the horizontal part of the track,
m
Uk, the distance between A and B, LAB, and the radius of the
A
circular track, R, are all given.
B
m=2.5kg k=50OON/m x=0.14m k=0.4 LAB=0.65m R=0.45m
a. Determine the initial potential energy stored in the spring.
b. Find the work done on the block by friction as the block moves from A to B.
c. Use energy considerations to find the object's speed vB at B. Consider your system to consist of the
block, the track, the spring and Earth. Explain your work.
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Remember to include given information, basic equations, calculations, and solutions with correct units for full credit. You are NOT to use kinematics unless otherwise stated. Black Panther (90.0 kg) is running along the ground and then must quickly slide to a stop after traveling at a speed of 15.0 m/s. Using the Work–Energy Theorem,
a. Determine the coefficient of kinetic friction between his feet and the ground if he slides 24.0 m.
b. How much power is done by the net force? You will need to use a kinematic equation to find time prior to completing this part.
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solve the following. Provide
1. Given
2. Required
3. Equation
4. Solution
5. Answer
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I need help with 2a and 2b
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Please give explanation on what's the right answer.
An example of a system having both kinetic and potential energy would be:a. a book resting on a table b. a projectile at its highest pointc. an object in free fall d. a stretched rubber band
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4. A 1000 kg-roller-coaster car ahown in figure is pulled up to
point 1 where it is released from rest. Assuming no
friction.
a. What is the mechanical energy of the roller-coaster car?
b. calculate the speed of the roller-coaster car at points 2.
c. calculate the speed of the roller-coaster car at points 3.
d. calculate the speed of the roller-coaster car at points 4.
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Solve the problem following the GRESA format (Given, Required, Equation, Solution,
Answer).Upload a photo of your solution. Make sure that the picture is clear enough to see the
contents.
主
A 150 kg yak has an average power output of 120 W. How long can a yak climb a 1.2
km high mountain? (Express your answer in hours and minutes)
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A roller-coaster at its highest point is 100m high. The car
rests at this point, and has a mass of 500kg with one child
in it.
a. What is the gravitational potential energy of the car and
child before any motion?
b. What is the maximum velocity reached as the car and
child descend the slope of the roller-coaster?
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A. Work, Energy and Power
1. Under what circumstances (if any) is no work done on a moving object even though a net force acts on it?
2. Does every moving body possess kinetic energy? Does every stationary body possess potential energy?
3. Identical twins Ann and Betty set out to climb a mountain. Ann chooses a slope that averages 30 degrees above the horizontal and Betty chooses a slope that averages 40 degrees. Compare the amount of work the twins do.
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One of the largest waterfalls in the world, the Iguazu Falls, are located on the border of Argentina
and Brazil.
a. Research online to determine the height of the Iguazu Falls. (Cite your answer!)
A log of wood with mass 1350 kg moves at 7ms-1'in the water and tumbles over the falls.
b. Calculate the kinetic energy of the log before it falls over the edge.
c. Calculate the GPE of the log before it falls over the edge.
d. Hence, calculate the total energy before the log falls over the edge.
e. Calculate the velocity of the log as it hits the bottom of the waterfall.
f. Discuss any limitations or assumptions regarding your calculation in part e.
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Question #3. The last person did the wrong number. Please use the attached equation sheet and start with an equation from the sheet and work from there. You can manipulate anyway you want you just have to start from the equation sheet.
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A 25 kg box is pushed up a ramp that makes a 15 degree angle with the horizontal. The ramp is 15 meters long.
a. What is the work done by the ramp if friction is negligible?
b. What is the work done by gravity?
c. What is the work done by the ramp if the coefficient of friction between the box and the ramp is 0.20?
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A 25 kg childslides down a 6.5 m playground slide that makes an angle of 20o with horizontal. The coefficient of kinetic friction between slide and child is 0.10.
Find the following:
a.What kind of energy is present on the child at the top of the slide? At the bottom of the slide?
b.How much potential energy does the child have?
c.How much kinetic energy does the child have?
d.How much energy is transferred to thermal energy?
e.If she starts at the top with A SPEED OF 0.50 m/s, what is her speed at the bottom?
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2. A roller coaster of mass 500 kg starts its ride from rest at point A. Point A is located at a height of 70
m above the lowest point on the track. The car rolls down the incline and follows the track around a
loop of radius 15 m. Ignore friction force.
a. How much work is required to bring the cat to point A?
b. Calculate the speed of the car at point C.
c. On the figure of the car below, draw and label vectors to represent the forces acting on the car it is at
point C.
d. Calculate the speed of the car at point B.
e. On the figure of the car below, draw and label vectors to represent the forces acting on the car it is
upside down at point B.
f. Now suppose that friction is not negligible. How would friction affect the answers in (a) and (c)?
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