A child in a boat throws a 4.5kg package out horizontally with a speed of 13 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24 kg and the mass of the boat is 53 kg.

Question

Physics

Asa Pennington

25 June, 10:46

A child in a boat throws a 4.5kg package out horizontally with a speed of 13 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24 kg and the mass of the boat is 53 kg.

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Answers (1)

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Tristan Underwood · Answer 1

0.78m/s

Explanation:

Now the momentum ensued by the boy throwing the package Is

Mass of package * velocity of package = 4.5*13=58.5m/s

This momentum initiated a momentum on the boy-boat system

Total mass of the boy-boat system is 24+53=75kg

Let the velocity ensued by the boat be v.

Hence from conservation of momentum

58.5 = 75*v

v = 58.5/75 = 0.78m/s