The acceleration of the boat is [tex]2 m/s^2[/tex] (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:
[tex]a=\frac{F}{m}=\frac{40}{20}=2.0 m/s^2[/tex]
And the direction is the same as the net force (eastward).
Learn more about acceleration and Newton laws of motion:
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