Last Updated On [03-11-2023]
Two equal spheres 
and 
, each of mass 
, are in contact on a smooth horizontal table. A third sphere 
of same size as that of 
or 
but mass 
impinges symmetrically on them with a velocity 
and is itself brought to rest
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|
The coefficient of restitution between the two spheres |
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|
a) |
|
b) |
|
c) |
|
d) |
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Question ID - 101219 :- Two equal spheres and , each of mass , are in contact on a smooth horizontal table. A third sphere of same size as that of or but mass impinges symmetrically on them with a velocity and is itself brought to rest
The coefficient of restitution between the two spheres 
and 
(or between 
and 
) is
a)
b)
c)
d)
Two equal spheres and , each of mass , are in contact on a smooth horizontal table. A third sphere of same size as that of or but mass impinges symmetrically on them with a velocity and is itself brought to rest
|
The coefficient of restitution between the two spheres |
|||||||
|
a) |
|
b) |
|
c) |
|
d) |
|
(a)
velocity of sphere 
before impact. As the spheres are identical, the triangle
formed by joining their centres is equilateral. The spheres 
and 
will move in direction 
and 
after impact making an angle of 
with the original lines of motion of ball 
Let 
be the speed of the ball 
and 
after impact
Momentum conservation gives
(i)
From Newton’s experimental law, for an oblique collision, we have to take components along normal, i.e., along 
for balls 
and 
Combining Eqs. (i) and (ii), we get 
Next Question :
A pendulum consists of a wooden bob of mass 
and length 
. A bullet of mass 
is fired towards the pendulum with a speed 
. The bullet emerges immediately out of the bob from the other side with a speed of 
and the bob starts rising. Assume no loss of mass of bob takes place due to penetration
|
What is the momentum transferred to the bob by the bullet? |
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|
a) |
|
b) |
|
c) |
|
d) |
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