Coupon Accepted Successfully!


Velocity after collision

Let two bodies A and B collide inelastically and coefficient of restitution is e.
where 40601.png

From the law of conservation of linear momentum,

By solving (20) and (21), we get
By substituting e = 1, we get the value of v1 and u2 for perfectly elastic head-on collision.

Ratio of velocities after inelastic collision

A sphere of mass m moving with velocity u hits inelastically with another stationary sphere of same mass (Fig. 7).
Fig. 7
By conservation of momentum:
Momentum before collision = Momentum after collision
Solving (22) and (23), we get 40570.png and 40564.png.
∴ 40558.png

Loss in kinetic energy

Loss (ΔK) = Total initial kinetic energy – Total final kinetic energy
Substituting the value of v1 and v2 from the above expression,
Loss (ΔK) = 40546.png
By substituting e = 1, we get ΔK = 0, i.e., for perfectly elastic collision, loss of kinetic energy will be zero or kinetic energy remains constant before and after the collision.

Test Your Skills Now!
Take a Quiz now
Reviewer Name