A 3-kg toy car sits at the highest point of a 13-meter-high hill. The car is gen

Question

A 3-kg toy car sits at the highest point of a 13-meter-high hill. The car is gently pushed forward until it begins to roll down the slope. Assuming the car coasts freely, without any friction or air resistance, how much kinetic energy (KE) and potential energy (PE) will it have at each of the indicated points? Complete the diagram by placing the correct label in each bin. Use for the acceleration due to gravity, g 10 m/s2. Note, the diagram below is not drawn to scale. 210 J330 J18J780 J 180 J PE 60 J39 J6J390J0 J PE= PE= KE- 13 m 6 m 2 m KE =

Explanation / Answer

the energies from left to right values

initially at a height h = 13 m , and mass m = 3 kg , g = 10 m/s2

k.e is zer0 starts from rest

p.e = mgh = 3*10*13 J = 390 J

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p.e = mgh = 3*10*2 = 60 J

k.e = 390-60 = 330 J
= -------------------------

p.e = mgh = 3*10*6 = 180 J

k.e = 390 - 180 J = 210 J

-----------------------------------------
p.e = 0

k.e = 390 J

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