Answer: 1800 kg·m/s south
Step-by-step explanation:
m = 450 kg
s = 10 m/s north
We need to find the impulse required to decrease the speed of the boat to 6 m/s to the north.
The equation for impulse is: I = p₂ - p₁
- p refers to momentum (p = m × v)
- p₂ = momentum of ending velocity
- p₁ = momentum of beginning velocity
Since we are ending at a velocity of 6 m/s, we will calculate p₂
We are beginning at 10 m/s, we will calculate p₁
Now we can use the impulse equation.
I = p₂ - p₁
I = (2700) - (4500) = - 1800
The negative in front of the 1800 refers to an impulse in the opposite direction. Since the boat is travelling north, the opposite direction will be south.
Therefore, the impulse required to decrease the speed of the boat from 10 m/s north to 6 m/s north is 1800 kg·m/s south.