Motion Along Curved Paths Video Lessons

Example

# Problem: A 1500 kg car is approaching the hill shown in the figure below at 12m/s when it suddenly runs out of gas. Neglect any friction.Part ACan the car make it to the top of the hill by coasting?a) Yes, the car will stop exactly on the top of the hill.b) No, the car will not reach the top of the hill.c) Yes, the car will pass the top of the hill and will continue to move down.d) More information is needed.Part BWhat is the car's speed after coasting down the other side?

###### FREE Expert Solution

Part A

Minimum energy to reach the top of the hill:

Emin = mgh = (1500)(9.81)(5.0) = 7.4 × 104 J.

The car's initial total energy:

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###### Problem Details

A 1500 kg car is approaching the hill shown in the figure below at 12m/s when it suddenly runs out of gas. Neglect any friction.

Part A

Can the car make it to the top of the hill by coasting?

a) Yes, the car will stop exactly on the top of the hill.

b) No, the car will not reach the top of the hill.

c) Yes, the car will pass the top of the hill and will continue to move down.

Part B

What is the car's speed after coasting down the other side?