A car with a mass of 950 kg moves at 24 m/s. What braking force is needed to bring the car to a halt in 10 s?

-2280 N

Explanation:

F = ma ... Equation 1.

Where F = brake force needed to halt the car, m = mass of the car, a = acceleration of the car.

Also

a = (v-u) / t ... Equation 2

Where u = initial velocity of the car, v = final velocity of the car, t = time.

Given: u = 24 m/s, v = 0 m/s (as the car comes to halt), t = 10 s.

Substitute into equation 2.

a = (0-24) / 10

a = - 24/10

a = - 2.4 m/s²

Also given: m = 950 kg

Substitute into equation 1

F = 950 (-2.4)

F = - 2280 N

Hence the braking force needed to bring the car to an halt = - 2280 N

Note: The force is negative because its act against the motion of the car