Question

1) Elastic collision
2) Inelastic collision
3) Head on collision
4) Oblique collision
a) 1 - r, 2 - S, 3-2, 4-q
c) 1 - p, 2 - 9,3 - r, 4 - S
p) one dimensional collision
9) two dimensional collision
r) Law of conservation of K.E is valid
s) Law of conservation of K.E is not valid
b) 1 - 5,2 -4,3 - r, 4 - P
d) 1-4, 2-p, 3 - r, 4 - S​

Answer 1

Collision means two objects coming into contact with each other for a very short period.Elastic Collision: In the elastic collision total momentum, the total energy and the total kinetic energy are conserved.The speed after the collision of these masses is v1 and v2 . The law of conservation of momentum will give:

m1u1 + m2u2 = m1v1 + m2v2

The conservation of Kinetic Energy says:

1/2 m1u21 + 1/2 m2u22 = 1/2 m1v21 +1/2 m2v22

Inelastic Collision: In the inelastic collision, the objects stick to each other or move in the same direction. The total kinetic energy in this form of collision is not conserved but the total momentum and energy are conservedSince during the phenomenon the two masses follow the law of conservation of momentum and move in the same direction with same the same speed v we have:

m1u1 + m2u2 = (m1+ m2)v

v= (m1u1 + m2u2)/(m1+ m2)

The kinetic energy of the masses before the collision is : K.E1 = 1/2 m1u21 + 1/2 m2u22

While kinetic energy after the collision is: K.E2 = 1/2 (m1+ m2) v2

But according to the law of conservation of energy: 1/2 m1u21 + 1/2 m2u22 = 1/2 (m1+ m2) v2 + Q

‘Q’ here is the change in energy that results in the production of heat or sound.One Dimensional Collision

One dimensional sudden interaction of masses is that collision in which both the initial and final velocities of the masses lie in one line. All the variables of motion are contained in a single dimension.m1u1 + m2u2 = m1v1 + m2v2Since the kinetic energy is conserved in the elastic collision we have:

1/2 m1u21 + 1/2 m2u22 = 1/2 m1v21 + 1/2 m2v22

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