(a)
The speed of the shooter after collision.
(a)
Answer to Problem 75P
The speed of the shooter after collision is
Explanation of Solution
The initial speed of the shooter is
Write the expression for the conservation of kinetic energy.
Here,
Rewrite the above equation in terms of
Write the expression for the conservation of momentum in x-direction.
Rewrite the above equation in terms of V.
Write the expression for the conservation of momentum in y-direction.
Rewrite the above equation in terms of
Substitute (II) in (III) to calculate
Substitute (II) and (IV),
Substitute the above expression in (IV) and
Write the expression to calculate the speed of shooter.
Here, v is the speed of the shooter.
Substitute
Conclusion:
Therefore, the speed of the shooter after collision is
(b)
The speed of the marble after collision.
(b)
Answer to Problem 75P
The speed of the marble after collision is
Explanation of Solution
Substitute
Conclusion:
Therefore, the speed of the marble after collision is
(c)
The magnitude of angle
(c)
Answer to Problem 75P
The magnitude of angle
Explanation of Solution
Write the expression to calculate the angle
Substitute
Conclusion:
Therefore, the magnitude of angle
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