Question

A 1000kg car starts at rest and accelerates to 10m/s in 15 sec. What is the impulse on the car over the 15 seconds? Justify your answer

And calculate the force applied to the car over those 15 seconds

Answer 1

The impulse on the car over the 15 seconds is calculated using the formula impulse = change in momentum. The change in momentum of the car is calculated by multiplying the car's mass by its final velocity, which is 1000 kg * 10 m/s = 10,000 kgm/s. The impulse is then calculated by subtracting the car's initial momentum (which is 0, since the car starts at rest) from its final momentum, which gives us an impulse of 10,000 kgm/s.

The force applied to the car over the 15 seconds is calculated using the formula force = mass * acceleration. Since the car's mass is 1000 kg and it accelerates at a rate of 10 m/s/s, the force applied to the car is 1000 kg * 10 m/s/s = 10,000 N.