Shown below are two identical inclines. In system A a cart of mass M is attached

Question

Shown below are two identical inclines. In system A a cart of mass M is attached by a string, that runs over a pulley, to a hanging weight. System B is identical except that the cart has a mass of 2M. Both carts will move down the incline when released from rest. Will the acceleration of the cart in system A be greater than, less than or equal to the acceleration of the cart in system B Explain. Will the time for the cart to go down the incline in system A be greater than, less than or equal to the time for the cart to go down the incline in system B Explain. Will the average speed down the incline for the cart in system A be greater than, less than or equal to the average speed of the cart in system B Explain. Will the speed of the cart at the bottom in system A be greater than, less than or equal to the final speed of the cart at the bottom in system B Explain.

Explanation / Answer

here,

1)

acccelration , a = net force / effective mass

so,

the accelration of the cart in system B will be more than that of A

2)

as the accelration is more for A

time for A is less

therefore, and the time taken for cart to go down the incline is system A is greater than that of B

3)

as the accelration of system B is greater than A

the average speed of system B is more

4)

as the accelration of A is less than that of B

the speed at the bottom of incline B is greater than that of A

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