Question

A 9.4 kg dog takes a nap in a canoe and wakes up to find the canoe has drifted out onto the lake but now is stationary. He walks along the length of the canoe at 0.48 m/s , relative to the water, and the canoe simultaneously moves in the opposite direction at 0.16 m/s . Part A
What is the mass of the canoe?

Answer 1

Answer:

28.2 kg

Explanation:

Data provided in the question:

Mass of dog, m = 9.4 kg

Velocity of the dog with respect to water, v = 0.48 m/s

Velocity of the canoe, V = - 0.16 m/s          [ - sign means velocity in opposite direction]

Now,

Let the mass of canoe be 'M'

Therefore,

From the conservation of momentum, we have

⇒ mv + MV = 0

or

⇒ 9.4 × 0.48 + M(- 0.16) = 0

or

⇒ 4.512 - 0.16M = 0

or

⇒ 0.16M = 4.512

or

⇒ M = 28.2 kg