Q.

A bomb of mass 6 kg initially at rest explodes into two fragments of masses of 4 kg and 2 kg, respectively. If the greater mass moves with a velocity of 5 m s–1, find the velocity of the 2 kg mass.

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a

- 10 m/s

b

- 20 m/s

c

- 30 m/s

d

- 40 m/s

answer is A.

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Detailed Solution

Given, M1 = 4 kg, M2 = 2 kg

Since the bomb is initially at rest, U = 0.

Its initial momentum = MU = 6 × 0 = 0

v1 = 5 m s−1, v2 =?

Using the law of conservation of momentum

MU = m1v1 + m2v2

0 = 4 × 5 + 2 × v2

i.e., 0 = 20 + 2 × v2

v2 = - 20/2 = - 10 m/s

-ve sign of v2 implies that 2 kg mass moves in the direction opposite to 4 kg mass.

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