Answer:
V = -1.33 m/s
Explanation:
Given,
The mass of the camper, m = 100 kg
The velocity of the camper, v = 3.0 m/s
The combined mass of canoe and another camper, M = 225 kg
The velocity of the combined canoe and another camper, V = ?
According to the law of conservation of momentum,
MV + mv = 0 (Since the initial momentum of the dock is 0)
V = -mv/M
= -100 x 3/225
= -1.33 m/s
The negative sign indicates that the combined objects moves opposite to that of the camper.
Hence, the velocity of the combined canoe and camper is, V = -1.33 m/s