Shown below are two identical inclines down which two carts, one twice as massiv

Question

Shown below are two identical inclines down which two carts, one twice as massive as the other, are going to run after being released from rest, i.e., both carts will go down the incline after being released. Both carts are attached by a string, that runs over a pulley, to the same hanging weight. Will the acceleration of the cart on A be greater than, less than or equal to the acceleration of the cart on B? Explain. Will the time for the cart to go down A be greater than, less than or equal to the time for the other cart to go down B? Explain. Will the average speed for the cart on A be greater than, less than or equal to the average speed of the cart on B? Explain. Will the final speed of the cart at the bottom of A be greater than, less than or equal to the final speed of the cart at the bottom of B? Explain.

Explanation / Answer

1) Force downward parallel to the inclined plane for a is mgsinx

Force Downward parallel to the inclined plane for b is 2mgsinx

We know F = ma

Hence

For a :

a = mgsinx/m = gsinx

for b :

a = 2mgsinx/2m = gsinx

Hence Acceleration will be same

2) Same

3) Same

4) Same

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