Procedure for an Inclined Plane Lab

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The discussion focuses on creating a procedure to determine the angle of a ramp that allows a car to travel 6 meters after descending. Key points include the need to measure the car's weight, the ramp's length, and the coefficient of kinetic friction (μk) for both the ramp and the floor. Participants emphasize the importance of a clear experimental procedure rather than theoretical calculations, suggesting that the angle and distance are the primary focus. There is some confusion about the restriction on testing the car on both surfaces simultaneously, which needs clarification for effective experimentation. Overall, the goal is to develop a straightforward method to find the necessary ramp angle based on experimental data.
Connie Lewis
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Homework Statement


Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time.
Given/Known Data: The car weighs 1.32 kg; the board is 0.93 m long; the car must travel 6 m on the floor.

Homework Equations


d=(Vf)(t)-(0.5)(a)(t^2)
d=(Vi)(t)+(0.5)(a)(t^2)
Fnet = (m)(a)
Ff=(μk)(m)(g)
a=(Vf-Vi)/t
Vf^2=Vi^2 + 2(a)(d)

The Attempt at a Solution



Procedure
  1. Draw a free body diagram.
  2. Weigh car using scale. Record results.
  3. Measure the board to its halfway point using the metre stick. Record results.
  4. Find μk of the board.
    1. Use a random acute angle, 40 degrees, to solve for μk.
    2. Set the board to the angle of 40 degrees using the protractor.
    3. Time the car’s descent from the halfway point to the end of the board. Record results.
    4. Find the acceleration using the variables given and found. Record results.
    5. Use the acceleration to solve for the net force of the car. Record results.
    6. Use the net force of the car to solve for the μk of the board. Record results.
  5. Find μk of the floor.
    1. Use the spring scale to measure out the applied force for a certain time and distance. Record results.
    2. Find the acceleration using the variables given and found. Record results.
    3. Use the acceleration to determine the net force of the car. Record results.
    4. Use the net force to solve for the force of friction. Record results.
    5. Use the force of friction to solve for the μk of the floor. Record results.
  6. Find the distance traveled by the car on the floor at 40 degrees.
    1. Use results from steps four and five in order to find the final velocity of the car on the board. Record results.
    2. Use the initial velocity of the floor--the final velocity of the board--and the results in step five to determine the distance the car travels on the floor. Record results.
  7. Use the calculated distance to solve for the angle at which the car will travel six metres.
    1. Use a ratio in order to solve. Record results.
 
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I think you're over-thinking this. All they're asking for is the angle of the ramp that will make the car go 6 ft. You don't need to measure friction, forces, and so on, just the angle and the distance the car goes.
 
tms said:
I think you're over-thinking this. All they're asking for is the angle of the ramp that will make the car go 6 ft. You don't need to measure friction, forces, and so on, just the angle and the distance the car goes.
Sorry, I forgot to add that you cannot test the car on both the floor and the board at the same time.
 
I think you are suppose to write out the steps that you intend following when you are experimenting in the lab
and not so try and solve it theoretically. That is how you intend going about the experiment in the lab once
you get there. This is to save time and to get you thinking about what is going to happen or what you
expect is going to happen and how you can solve the problem best experimentally. Maybe a plot of
collected data would help? The problem is then also to decide what data to plot. The statement "you
cannot test..." is a bit confusing. Does it mean that you may only adjust the angle and not do an
experiment with the car just rolling along the floor?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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