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A projectile of mass 30 kg is shot verti...

A projectile of mass 30 kg is shot vertically upwards with an intial velocity of 10 m/s.After 5 s, it explodes into two fragments, one of which having a mass of 20 kg is travelling vertically with a velocity of 150m/s. What is the velocity of the other fragment at that instant?

A

`-15 m//s`

B

15 m/s

C

zero

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of the body after 5 s
`v=u-gr=100-9.x5=51 m//s`
The projectie explodes into two fragments of masses 20kg and 30 kg
Applying law ofconservationof linear momentum
`20x150+30xV=(20+30)v`
or `3000+30V=50x51`
`or 30v=2550-3000`
`V=(-450)/(30)15m//s`
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