(a)
The velocity of the block of wood and bullet after collision.
(a)
Answer to Problem 2SP
The velocity of the block of wood and bullet after collision is
Explanation of Solution
Given info: The initial velocity of the bullet is
Write the expression for conservation of momentum.
Here,
Write the expression to find the initial momentum of the bullet.
Here,
Substitute
Write the expression to find the final momentum of the bullet and the wooden block.
Here,
Substitute
Initial momentum of the bullet is the initial momentum itself.
Substitute
Conclusion:
Therefore, the velocity of the block of wood and bullet after collision is
(b)
The magnitude of the impulse that acts on the block of the wood.
(b)
Answer to Problem 2SP
The magnitude of the impulse that acts on the block of the wood is
Explanation of Solution
Write the expression for the final momentum of the wooden block.
Here,
Substitute
Write the expression for change in momentum of the wooden block.
Substitute
Write the expression of the impulse associated with the change in momentum.
Substitute
Conclusion:
Therefore the magnitude of the impulse that acts on the block of the wood is
(c)
Whether the change in momentum of the bullet is equal to that of the block of the wood.
(c)
Answer to Problem 2SP
The magnitude of change in momentum of the bullet is equal to that of the block of the wood.
Explanation of Solution
Linear momentum is the product of mass of an object and its velocity. It was called as the change in quantity of the motion. It is a vector and it has the same direction as that of velocity.
Here the motion of the wooden block is due to the momentum imparted by the bullet. So that the magnitude of the change in momentum of the bullet is same as the change in momentum associated with the block of wood. The direction is opposite so that it facilitates the momentum conservation before and after the collision.
Conclusion:
Therefore, the magnitude of change in momentum of the bullet is equal to that of the block of the wood.
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