A 58.1 kg wood board is resting on very smooth ice in the middle of a frozen lake. A 48.3 kg boy stands at one end of the board. He walks from one end of the board to the other end with a velocity of 1.69 m/s relative to the ice in the positive direction. What is the velocity of the board relative to the ice? - 1.69m/s

Question

Aldo Andersen

Physics

16 October, 20:20

A 58.1 kg wood board is resting on very smooth ice in the middle of a frozen lake. A 48.3 kg boy stands at one end of the board. He walks from one end of the board to the other end with a velocity of 1.69 m/s relative to the ice in the positive direction. What is the velocity of the board relative to the ice? - 1.69m/s

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Answers (1)

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Elianna Acosta · Answer 1

V = 1.41 m / s

Explanation:

Movement in both wood board and boy is created by internal forces. No horizontal external force acts on them. So conservation of momentum will apply on both of them for movement in horizontal direction.

Mass of wood board x velocity = mass of boy x velocity

58.1 x V = 48.3 x 1.69

V = 1.41 m / s