Question

Particle of mass 1 kg is thrown vertically upwards with speed 100 m/s-1. After 5 s it explodes into two parts. One part of mass 400 g comes back with speed 25 m/s-1, what is the speed of other part just after explosion?​

Answer 1

Answer:

100m/s-1 speed. just after explosion

Answer 2

Explanation:

☘Answer:-

Given:-

• Particle of mass 1 kg is thrown vertically upwards with speed 100 m/s-1
• After 5 s it explodes into two parts. One part of mass 400 g comes back with speed 25 m/s-1.

To find:-

• the speed of other part just after explosio.

Solution:-

$Let \: the \: velocity \: of \: the \: mass \: just \\ before \: it \: explodes \: be \:  v  \: m/s.$

$Therefore,$

$v \:  = \: 100 \: -  \: gt  \\ = \: 100 \: - \: 10(5) \\ = \: 50 \: m/s.$

$Let \: the \: velocity \: of \: the \: 600 \: gm \: \\ mass \: be  \: u.$

$Applying \: law \: of \: conservation \: of \: \\ momentum:$

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

$Therefore,$

$600u  \: = \: 50000 \: + \: 10000$

$= \: 60000$

$Therefore,$

$u  \: = \: 100 m/s \: in \: the \: upward \: direction.$