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Gravity is the only force acting on a 2 kg mass. The potential energy of the mas

ID: 1279211 • Letter: G

Question

Gravity is the only force acting on a 2 kg mass. The potential energy of the mass increases by 144 J. What is the change in velocity of the mass?

An increase of 12 m/s

A decrease of 12 m/s

The change in velocity depends upon the initial amount of potential energy.

The change in velocity depends upon the initial velocity.

Consider two carts, of masses m and 2m, at rest on an air track. If you push first one cart for 3 s and then the other for the same length of time, exerting equal force on each, how does the momentum of the light cart compare with that of the heavier cart?

Small mass has larger momentum than the large mass.

Small mass has equal momentum to the large mass.

Small mass has smaller momentum than the large mass.

A.

An increase of 12 m/s

B.

A decrease of 12 m/s

C.

The change in velocity depends upon the initial amount of potential energy.

D.

The change in velocity depends upon the initial velocity.

Explanation / Answer

1.(Ans: D)

Since there is a change in potential energy it would result a change in velocity of the particle.We can just say that the chane in kinetic energy will be 144J but we caanot comment about its velocity since we will need the initial velocity to comment about it.(if initial velocity is 12 then the change would be 12 but if initial velocity would be 100 then the change would be just 0.72 Chek it out!)

2.(Ans:B)

Force is equal to the change in momentum (Second law) the same force acts on both the masses for the same amount of time and hence the momentum will be equal for both the masses.

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