Question

Dizzy is speeding along at 27.9 m/s as she approaches the level section of track near the loading dock of the Whizzer roller coaster ride.A braking system abruptly brings the 339-kg car (rider mass included) to a speed of 3.25 m/s over a distance of 5.19 meters. Determine the magnitude of the braking force (in newtons) applied to Dizzy's car.Answer: ____________ N (round to the nearest whole number)

Answer 1

The magnitude of the braking force is given by:

`f=ma=m\frac{{v_f}^2-v_0^2}{2d}`

Replace the values of m=339kg, v_f=3.25m/s, v_0=27.9m/s and d=5.19m to find the magnitude of the braking force:

`f=(339kg)*((3.25(m)/(s))^2-(27.9(m)/(s))^2)/(2(5.19m))=-25,077.1...N`

The minus sign accounts for the fact that the car is decelerating.

Therefore, the magnitude of the braking force is approximately 25,077N.