Question ID - 101273 | SaraNextGen Top Answer
A pan of mass 
kg and a block of mass 
are connected to each other by a light inextensible string, passing over a light pulley as shown in Fig. Initially, the block is resting on a horizontal floor. A ball of mass 
collides with the pan at a speed 
Consider this instant of collision at 
Assume collision to be perfectly inelastic. Now, answer the following questions based on the above information
.png)
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Mark the correct statement(s) for this situation |
|
|
a) |
After the collision, the pan + ball system moves downwards with decreasing speed |
|
b) |
After the collision, the block is moving upwards with the same speed with which the ball + pan system is moving downwards |
|
c) |
The block will jerk for a number of times during its motion |
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d) |
All of these |
(d)
Due to collision, an impulsive tension occurs in the string
For ball + pan system, 
For block, 
As the string is taut and the mass of the block is greater than the mass of ball + pan, so the block and ball + pan are under deceleration, given by
.png)
So, block will again come to ground after time 
, given by
At this instant, the pan + ball system is moving with 
and the string gets slacked, so the system is moving under gravity
To determine the speed of the system at 
, first find the time after which string is again jerked. That will happen when pan + ball system crosses its 
instant during its downward journey, i.e., after itstime of flight of motion under gravity
i.e., string will again jerk at 
For 
, the system is again under a retardation of 
Before this, find the velocity of various components of system just after jerk. We have
and 
With this velocity, the ball + pan system moves down for 0.2 s under a retardation of 
(downwards)
The maximum height attained by the block after the second jerk is given by 
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