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
(Momentum is Zero) 0 = (26.0 kg + 55.0 kg)v + (5.40 kg)(+10.0 m/s)
velocity = -.667 m/s
Answer:
v= 0.89 \(\frac{m}{s}\)
Explanation:
Momentum zero:
\(m_{p}* v_{p} +m_{b}* v_{1} + m_{b1}* v_{1} = 0\)
Replacing
\(5.3 kg *10 \frac{m}{s} + v_{1} * ( 35kg + 24 kg) =0\\ 53 + v_{1}* 59=0\\v_{1} =-\frac{53}{59} = -0.89 \frac{m}{s}\)