Question

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Answer 1

The acceleration of the boat is $2 m/s^2$ (eastward)

Explanation:

We can solve this problem by using Newton's second law, which states that:

F = ma (1)

where

F is the net force on a body

m is its mass

a is its acceleration

First of all, we have to find the net force acting on the boat. We have:

- The force of the motor, 100 N eastward

- The force of the air resistance, 60 N westward

So the net force is:

F = 100 N - 60 N = 40 N (eastward)

Now we can apply eq.(1), using:

F = 40 N

m = 20 kg (mass of the boat)

and solving for a, we find the acceleration:

$a=\frac{F}{m}=\frac{40}{20}=2.0 m/s^2$

And the direction is the same as the net force (eastward).

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