Question

A 39 kg child sits in a 64 kg boat at rest, and throws a 4.8 kg package horizontally from the boat at a velocity of +13.7 m/s. What is the velocity of the boat after this?

Answer 1

Answer:

0.63 m/s

Explanation:

Given that,

Mass of a child = 39 kg

The mass of a boat =64 kg

The child throws a 4.8 kg package horizontally from the boat at a velocity of +13.7 m/s.

We need to find the velocity of the boat after the scenario. The momentum of the system will remain conserved. So,

+ ( + ) = 0

$u=-\dfrac{ 4.8\times 13.7}{39+64}\\\\u=-0.63\ m/s$

So, the velocity of the boat after this is 0.63 m/s.