1. I have two carts, one of mass 0.5 kg, and a second loaded with weights so its

ID: 1331513 • Letter: 1

Question

1. I have two carts, one of mass 0.5 kg, and a second loaded with weights so its mass is 1.5 kg. I push each of them

(one at a time) with the same constant force, for the same distance, starting from rest.

After I have pushed them through this distance, I remove the force.

Which of the following statements will be true after the force is removed?

a. The kinetic energy of the empty cart is less than the kinetic energy of the loaded cart.

b. The kinetic energy of the empty cart is equal to the kinetic energy of the loaded cart.

c. The kinetic energy of the empty cart is greater than the kinetic energy of the loaded cart.

2. In the same experiment as in the previous question, which of the following is true?

a. The speed of the empty cart is less than the speed of the loaded cart.

b. The speed of the empty cart is equal to the speed of the loaded cart.

c. The speed of the empty cart is greater than the speed of the loaded cart.

Experimental procedure F (N) x(m) v (m/s) t(s)

Work done = Force * displacement

In both the cases, force and displacements are same.

Hence, work done is same

If, work done is same, then change in kinetic energy is same.

This, means, They both have same kinetic energy. (Option B)

As, Kinetic energy (0.5mv^2) is same mass is inversely proportional to square of velocity

=> less mass cart will have more velocity and more mass cart will have less velocity.

Therefore, The speed of the empty cart is greater than the speed of the loaded cart. (Option C)

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