A1000kg car has a speed of 32m/s. if it takes 7s to stop the car, what is the impulse and the average force acting in the car

1) Impulse: -32,000 kg m/s

The impulse acting on the car is equal to the change in momentum of the car:

where in this problem we have

m = 1000 kg is the mass of the car

v = 0 m/s is the final velocity of the car

u = 32 m/s is the initial velocity of the car

Substituting values into the equation, we find

2) -4751 N

The impulse exerted on the car is also equal to the product between the average force, F, and the duration of the collision, t:

where in this situation we know

is the impulse

t = 7 s is the duration of the collision

Solving the formula for F, we find the average force:

and the negative sign means that the force is in the opposite direction to the motion of the car.