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Answer :
Final answer:
The magnitude of the student's horizontal recoil velocity is approximately 0.33 m/s
Explanation:
In order to find the magnitude of the student's horizontal recoil velocity, we can use the principle of conservation of momentum. The initial momentum of the student and his hat is zero, since they are initially at rest. When the student throws the hat, the momentum of the hat is given by the equation:
momentum = mass x velocity
So, the magnitude of the student's horizontal recoil velocity can be calculated using the equation:
initial momentum = final momentum
(mass of the student x velocity of the student) + (mass of the hat x velocity of the hat) = 0
By substituting the given values, the magnitude of the student's horizontal recoil velocity comes out to be approximately 0.33 m/s.
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