Question
A shell of mass 40 kg moving with velocity 20m/s explodes and burst into two portions of masses 32kg and 8 kg. Heavier mass comes to rest after explosion. What is the energy released during the explosion?
Solution
Mass of the shell, m = 40 kg
Velocity with which the shell is moving, v = 20 m/s
Let V be the velocity of 8 kg mass after explosion.
Now using law of conservation of linear momentum.
We have,
40 x 20 = 32 x 0 + 8 x V
V = 100 m/s
Kinetic energy of shell before explosion is,
Kinetic energy of shell after explosion is,
= 0 + 40000
= 40000J
Thus, amount of energy released is,
Velocity with which the shell is moving, v = 20 m/s
Let V be the velocity of 8 kg mass after explosion.
Now using law of conservation of linear momentum.
We have,
40 x 20 = 32 x 0 + 8 x V
V = 100 m/sKinetic energy of shell before explosion is,
Kinetic energy of shell after explosion is,
= 0 + 40000
= 40000J
Thus, amount of energy released is,
