Last Updated On [03-11-2023]
A ball of mass 
makes head-on elastic collision with a ball of mass 
which is initially at rest. Show that the fractional transfer of energy by the first ball is
. Deduce the value of 
for which the transfer is maximum
A ball of mass makes head-on elastic collision with a ball of mass which is initially at rest. Show that the fractional transfer of energy by the first ball is . Deduce the value of for which the transfer is maximum
Question ID - 101432 :-
A ball of mass makes head-on elastic collision with a ball of mass which is initially at rest. Show that the fractional transfer of energy by the first ball is . Deduce the value of for which the transfer is maximum
|
A ball of mass |
|
(1) Let
For elastic collision, Newton’s experimental formula is
Solving Eqs. (i) and (ii), Fractional loss in KE (= fractional transfer of KE)
The transfer of energy is maximum when
This is, the transfer of energy is maximum when the mass ratio is unity |
be the initial velocity of the ball of mass 
. Then
(i)
(ii)
or
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