Find the velocity of two bodies after collision if velocity before collision are U1 U2 mass - Physics - Work Energy And Power

Question

Find the velocity of two bodies after collision if velocity
before collision are U1 & U2 & mass
M1 & M2 Show that bodies of identical
mass exchange their velocity after head on collision

Ruhhi Ralhan · Accepted Answer

Dear Student,

For elastic collision the derivation is given at the following link under the topic 'elastic collision in one dimension' and for head-on collision i.e. the center of mass of both the bodies is along the same straight line is the 'special case' subtopic of 'elastic collision in one dimension'.

http://cbse.meritnation.com/study-online/study-material/BG7rc@Uw9nfuwsWqjoEG2Q!!/tvbsix2crcwiT0bJIfkAEg!!

For inelastic collision in one dimension,

If two masses m₁ and m₂ under goes in inelastic collision with the initial velocities u₁ and u₂. Let mass m2 is at rest initially then,

$m_{1} u_{1} = (m_{1} + m_{2}) v (A s i n e l a s t i c c o l l i s i o n b o d i e s m o v e t o g e t h e r i . e . w i t h t h e s a m e f i n a l v e l o c i t y) v = \frac{m_{1}}{(m_{1} + m_{2})} u_{1} u_{1} = u v = \frac{m_{1}}{(m_{1} + m_{2})} u$

For head on collision of identical masses,

$v = (\frac{m}{2 m}) u v = \frac{u}{2}$

Find the velocity of two bodies after collision if velocity before collision are U1 & U2 & mass M1 & M2.Show that bodies of identical mass exchange their velocity after head on collision.

Find the velocity of two bodies after collision if velocity before collision are U₁ & U₂ & mass M₁& M₂.Show that bodies of identical mass exchange their velocity after head on collision.