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Standard XII

Physics

Gravitational Force

A body of mas...

Question

A body of mass $1 k g$ is projected vertically upwards with a speed of $100 m / s$ . After $5 s$ , it explodes into two parts. One part of mass $400 g$ comes back with speed $25 m / s$ . What is the velocity of other part just after explosion?

100 m / s

upward

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600 m / s

upward

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100 m / s

downward

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300 m / s

upward

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Solution

The correct option is A $100 m / s$ upward
$v = 100 - g t = 100 - 10 (5) = 50 m / s$

$1000 \times 50 = 600 u - 400 \times 25$

$600 u = 50000 + 10000 = 60000$

$u = 100 m / s$ in upward direction

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A body of mass 1 kg is projected vertically upwards with a speed of 100 m/s. After 5 s, it explodes into two parts. One part of mass 400 g comes back with speed 25 m/s. What is the velocity of other part just after explosion?

The correct option is A 100 m/s upwardv=100−gt=100−10(5)=50m/s1000×50=600u−400×25600u=50000+10000=60000u=100m/s in upward direction

A body of mass $1 k g$ is projected vertically upwards with a speed of $100 m / s$ . After $5 s$ , it explodes into two parts. One part of mass $400 g$ comes back with speed $25 m / s$ . What is the velocity of other part just after explosion?

The correct option is A $100 m / s$ upward
$v = 100 - g t = 100 - 10 (5) = 50 m / s$

$1000 \times 50 = 600 u - 400 \times 25$

$600 u = 50000 + 10000 = 60000$

$u = 100 m / s$ in upward direction