User:Viswanath sripada/sandbox

APPLICATIONS OF LAW OF CONSERVATION OF MOMENTUM THE FOLLOWING EXAMPLES ILLUSTRATE THE LAW OF CONVERSATION OF MOMENTUM 1)RECOIL OF A GUN:     consider a gun and bullet of mass m1 AND m2 respectively. the gun and the bullet form a single system.Before the gun is fired, both the gun amd the bullet are at rest.Therefore the velocities of the gun and bullet are zero.Hence total momentum, of the system before firing m1(0)+m2(0)=0.      When then gun is fired the bullet move forward and the gun recoils backward.Let v1 and v2 are trheir respective velocities,the total momentum of the bullet - gun system,after firing is m1v1+m2v2.      According to thge law of conversation of momentum,total momentum before firing is equal to total momentum after firing . (i.e) 0=m2v2+m1v1 (or) v1= -m2/m1 *v2

It is clear from this equation ,that v1 is directed opposite to v2.knowing the values of m2, m1 and v2, the recoil velocity of the gun v1 can be calculated.

2)EXPLOSION OF A BOMB:   Suppose a bomb is at rest before it explodes.Its momentum is zero.When it explodes, it breaks up into many parts,each part having a particular momentum.A part flying in one direction with a certain momentum,there is another part moving in the opposite direction with the same momentum.If the bomb explodes into two equal parts, they will fly off in opposite directions with the same speed, since each part has the same mass.