Suppose the two speeds of a two canoes after they are pushed apart are 0.60 m/s for canoe 1 and 0.45 m/s for canoe 2. if the mass of canoe 1 is 350kg, what is the mass of canoe 2?

Assuming that the canoes were at rest when they were pushed apart, the total momentum in the system must be zero. This means that the momentum of canoe 1 must have the same magnitude as the momentum of canoe 2, but in opposite directions.

p_{1} = -p_{2}

m_{1}v_{1} = -m_{2}v_{2}

m_{1}v_{1}/(-v_{2}) = m_{2}

m_{2} = 350kg(0.60m/s)/[-(-0.45m/s)]

m_{x} = 470 kg (Rounded to 2 significant figures)