Question

The graph shows how the force acting on a body varies with time. Assuming that the
body is moving in a straight line, by how much does its momentum change?
Force N
6 times
A) 40 kg ms
B) 20 kg ms
ms
C) 36 kg ms
D) 16 kg ms
​

Answer 1

Answer:

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Answer 2

The change in momentum is (B) 20 kg.m.s

Given: The Force-time graph is given.

To Find: The change in momentum.

Solution:

• We know that impulse of a body is equal to the change in momentum of the body. We can write the formula of impulse as;

        Impulse (I) = mΔV = F × t                                           .......(1)

Where, mΔV = the change in momentum of the body, F = force, t = time.

Coming to the numerical, we are given the Force-time graph, so the area under the curve of a Force-time graph will give us the change in momentum of the body.

So, area under the curve = ( 6 × 2 ) + ( 1/2 × ( 6 - 2 ) × ( 6 - 2 ) )

                                          = ( 12 + 8 ) N.s

                                          = 20 kg.m.s

Hence, the change in momentum is (B) 20 kg.m.s

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