Question

A 62.0 kg canoeist stands in the middle of her canoe. The canoe is 3.3 m long, and the end that is closest to land is 2.5 m from the shore. The canoeist now walks toward the shore until she comes to the end of the canoe. Suppose the canoeist is 3.4 m from shore when she reaches the end of her canoe. What is the canoe's mass?

Answer 1

The mass of the canoe is 51.93kg

Step-by-step explanation:

We need to find the real dimension with the dates that are provided.

The canoe is 3.3m long, and the canoist is in the middle.

The canoe is 2.5m from the shore, so,

`x_1= 2.5+(3.3)/2 =4.15m.`

There is a distance between shore and end of her canoe.

`x_2=4.15-3.4= 0.75m`

There is a distance where the canoe will have moved by

`x_(real) = x_2 - (3.3)/2 = 0.9m`

There is an equlibrium, so

`0.75*62 = 0.9*m\\m=51.6kg`

The mass of the canoe is 51.93kg