A toy moves with a varying speed on a track shown below. Rank from largest to sm

Question

A toy moves with a varying speed on a track shown below. Rank from largest to smallest the speed of the car at each labeled point (A-C) needed to keep the car moving in the loop with a constant force. If any of the speeds are equal, indicate it in your ranking. A car moves with a constant speed on a track shown below. Rank from largest to smallest the size of the at each labeled point (A-C) needed to keep the car moving in the loop at a constant speed. If any of the forces are indicate it in your ranking

Explanation / Answer

When car is at the top of the loop, normal force and gravity acts in downwrard direction and the sum of these two equal to centripetal force

N + mg = mv^2 /R

In this case, the velocity v is maximum

When casr is at bottom of the loop, the gravity acts downward, whereas the normal force acts upward, the algebriac sum of these two equal to centripetal force

N - mg = mv^2 /R

In this case, the velocity v is minimum.

When car is at B, the normal force is towards center; whereas the gravity acts downward. In this case, the velocity of car has an intermediate value of above two cases.

Thus, the raking of velocity from largest to smallest is

C, B, A

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