A child in a boat throws a 6.4kg package out horizontally with a speed of 10 m/s

Question

A child in a boat throws a 6.4kg package out horizontally with a speed of 10 m/s. Calculate the velocity of the boat imediately after, assuming it was initially at rest. The mass of the child is 26kg and that of the boat is 45kg. Ignore water resistance.
Please show all working Thanks A child in a boat throws a 6.4kg package out horizontally with a speed of 10 m/s. Calculate the velocity of the boat imediately after, assuming it was initially at rest. The mass of the child is 26kg and that of the boat is 45kg. Ignore water resistance.
Please show all working Thanks
Please show all working Thanks

Explanation / Answer

Use the law of conservation of momentum

m1v1 + m1v2 =0

m(package)*v(package) + m(child+boat)*v(child+boat)=0

6.4*10 + (26+45)*v(child+boat) = 0

v(child+boat) = - 0.9 m/s

Directed opposite to the velocity of the package

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