Question

Suppose a child drives a bumper car head on into the side rail, which exerts a force of 3400 N on the car for 0.400 s. (Assume the initial velocity is in the positive direction.) (a) What impulse (in kg · m/s) is imparted by this force? (Indicate the direction with the sign of your answer.) kg · m/s (b) Find the final velocity (in m/s) of the bumper car if its initial velocity was 3.50 m/s and the car plus driver have a mass of 200 kg. You may neglect friction between the car and floor. (Indicate the direction with the sign of your answer.) m/s

Answer 1

a) I = -1360 N s b)
`v_(f)` = -3.3 m / s

Step-by-step explanation:

a) The expression of the impulse is

I = F t = Δp

The force applied by the rail is in the opposite direction to the movement, so it is negative

I = -3400 0.400

I = -1360 N s

b) We use the momentum relationship with the moment

I = ΔP

I = m
`v_(f)`- mv₀

`v_(f)` = (I + m v₀) / m

`v_(f)` = (-1360 + 200 3.5) / 200

`v_(f)` = -3.3 m / s