Question

A child in a boat throws a 5.3 kg package out horizontally with a speed of 10.0m/s. calculate the velocity of the boat immediately after assuming it was initially at rest. The mass of the child is 24kg and the mass of the boat is 35kg

Answer 1

(Momentum is Zero) 0 = (26.0 kg + 55.0 kg)v + (5.40 kg)(+10.0 m/s)
velocity = -.667 m/s

Answer 2

Answer:

v= 0.89 $\frac{m}{s}$

Explanation:

Momentum zero:

$m_{p}* v_{p} +m_{b}* v_{1} + m_{b1}* v_{1} = 0$

Replacing

$5.3 kg *10 \frac{m}{s} + v_{1} * ( 35kg + 24 kg) =0\\ 53 + v_{1}* 59=0\\v_{1} =-\frac{53}{59} = -0.89 \frac{m}{s}$