Malar is playing with a toy car and track set. She has assembled the track so that it contains a large hill to let the car roll down, followed by a series of small hills and then a short, flat section on the floor. The car starts at the top of the hill, which is 137 cm above the short, flat section. If there were no friction or air resistance, how fast would the car be moving when it reached the flat section at the bottom? If the car is measured to be moving with a speed of 3.24 m/s on the flat section at the bottom, then how much energy was lost due to friction and air resistance? The car's mass is 64 grams. Malar adds to the track so that the car's release point is even higher now. How high would the release point need to be in order for the car to have the speed you found in part (a) when it reaches the short, flat section at the bottom? Assume that the same amount energy that was lost in part (b) is also lost in this case.

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Malar is playing with a toy car and track set. She has assembled the track so that it contains
a large hill to let the car roll down, followed by a series of small hills and then a short, flat
section on the floor. The car starts at the top of the hill, which is 137 cm above the short, flat
section.
If there were no friction or air resistance, how fast would the car be moving when it
reached the flat section at the bottom?
If the car is measured to be moving with a speed of 3.24 m/s on the flat section at the
bottom, then how much energy was lost due to friction and air resistance? The car's mass
is 64 grams.
Malar adds to the track so that the car's release point is even higher now. How high
would the release point need to be in order for the car to have the speed you found in
part (a) when it reaches the short, flat section at the bottom? Assume that the same
amount energy that was lost in part (b) is also lost in this case.
Transcribed Image Text:Malar is playing with a toy car and track set. She has assembled the track so that it contains a large hill to let the car roll down, followed by a series of small hills and then a short, flat section on the floor. The car starts at the top of the hill, which is 137 cm above the short, flat section. If there were no friction or air resistance, how fast would the car be moving when it reached the flat section at the bottom? If the car is measured to be moving with a speed of 3.24 m/s on the flat section at the bottom, then how much energy was lost due to friction and air resistance? The car's mass is 64 grams. Malar adds to the track so that the car's release point is even higher now. How high would the release point need to be in order for the car to have the speed you found in part (a) when it reaches the short, flat section at the bottom? Assume that the same amount energy that was lost in part (b) is also lost in this case.
Expert Solution
Step 1

Given,

Height at which the car started,

 h=137 cm=1.37 m

The mass of the car, 

m=64 g=0.064 Kg

Speed of the car at the bottom,vb=3.24 m/s

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