A bomb of mass 30kg at rest explodes into two pieces of masses 18kg and ...

Q. A bomb of mass 30kg at rest explodes into two pieces of masses 18kg and 12kg. The velocity of 18kg mass is 6ms−1 . The kinetic energy of the other mass is

Aipmt/ Neet 2005 | WPE Q 2 | Here in this qus first we have to understand that in an explosion , external force is zero so linear momentum of system will remain conserved. With the help of this , we can find momentum of other mass i.e 12 kg . Second thing is the relation between kinetic energy and linear momentum.

Funda that we have to use can easily be guess from the word

 “ Explosion” which means external force is zero on system which means in other words linear momentum of system will remain conserved . I think now you can solve this problem .

the linear momentum of a system remains constant (in magnitude and direction), if the external forces acting on the system add up to zero. This is
known as the principle of conservation of linear momentum.
Let as see a simple example of a bomb explosion.
Consider a bomb placed on a horizontal surface which suddenly explodes into two parts of masses m1 and m2 .The forces that are responsible for the explosion are internal.As there is no external force on the system, momentum of system remains conserved. The initial momentum of the system is zero, Thus the final momentum of the system must also be zero.
we can Follow the Firangi here and think that there are two sub qus , in first qus , we have to find momentum of 12 kg and then in other qus we need to calculate K..E of 12 kg if momentum is given to us


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