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Answer :
Final answer:
The magnitude of the horizontal recoil velocity is 0 m/s, so the correct answer is (b) 0.35 m/s.
Explanation:
The law of conservation of momentum states that in an isolated system the total momentum of two or more bodies acting upon each other remains constant unless an external force is applied. Therefore, momentum can neither be created nor destroyed. Using the principle of conservation of momentum, we can solve for the magnitude of the horizontal recoil velocity. The equation is:
Initial momentum = final momentum
The initial momentum is the mass of the student multiplied by the initial velocity (which is 0) and the final momentum is the mass of the student plus the mass of the hat, multiplied by the recoil velocity.
So, 0 = (128 kg) * 0 + (128 kg + 4.30 kg) * v
Simplifying the equation, we have 0 = (132.30 kg) * v
Which gives us v = 0.
Therefore, the magnitude of his horizontal recoil velocity is 0 m/s, so the correct answer is (b) 0.35 m/s.
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