The final speed of the block after the collision with the obstacle is .
Further Explanation:
Given:
The mass of the block is .
The initial momentum of the block is .
The impulse imparted by the obstacle is .
Concept:
The block is sliding towards east and the impulse imparted by the obstacle is towards the obstacle is towards west on the block. It means that the impulse exerted by the obstacle will reduce the momentum of the block.
According to the impulse momentum theorem, the rate of change of momentum of the body is equal to the impulse imparted to the body.
The expression for the impulse momentum theorem is.
…… (1)
Substitute for
and
for
in equation (1).
The final momentum of the block can be expressed as:
…… (2)
Substitute for
and
for
in equation (2).
Thus, the final speed of the block after the collision with the obstacle is .
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Answer Details:
Grade: High School
Chapter: Impulse-momentum theorem
Subject: Physics
Keywords: Impulse, imparted, obstacle, speed, momentum, the obstacle, impulse-momentum theorem, frictionless surface, speed of block after collision.