Complete Question
The diagram of this question is shown on the first uploaded image
Answer:
The distance the block slides before stopping is
Explanation:
The free body diagram for the diagram in the question is shown
From the diagram the angle is
Where
So
From the question we are told that
The mass of the block is
The mass of the pendulum is
The velocity of the pendulum at the bottom of swing is
The coefficient of restitution is
The coefficient of kinetic friction is
The velocity of the block after the impact is mathematically represented as
Where is the velocity of the block before collision which is 0
Substituting value
According to conservation of energy principle
The energy at point a = energy at point b
So
Where
is the potential energy at A which is mathematically represented as
= 0 at the bottom
is the kinetic energy at A which is mathematically represented as
is the potential energy at B which is mathematically represented as
From the diagram
is the kinetic energy at B which is 0 (at the top )
Where is is the workdone against velocity which from the diagram is
So
Substituting values
So
