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Q.

A particle of mass 1 kg is thrown vertically upwards with speed 100 m/s. After 5 sec it explodes into two parts. One part of mass 400 g comes back with speed 25 m/s, what is the speed of the other part just after explosion? (g=10m/s2)

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a

600 m/s upward         

b

300 m/s upward         

c

100 m/s down ward   

d

100 m/s upward         

answer is B.

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Detailed Solution

Velocity after 5 seconds is 100−(10×5)=50ms−1

From conservation of momentum

(1×50)=(−0.4×25)+0.6V

0.6V=(50+10)=60

V=100ms−1(upward)

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