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Q.

A variable mass body with an initial mass of 5 kg is moving with a velocity of 5 m/s initially, after some time the velocity increases to 10 m/s, what is the new mass if the body is moving in the absence of any external force?

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a

5 Kg

b

7.5 Kg

c

2.5 Kg

d

10 Kg

answer is C.

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Detailed Solution

The body is moving in the absence of any external force thus the momentum remains conserved. 

m1v1 = m2v2. 

Where, v1 = 5 m/s, m1 = 5 Kg, v2 = 10 m/s. 

Þ 5 x 5 = m2 x 10

Þ m2 = 2.5 kg. 

Hence, the new mass is 2.5 Kg.

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