Question

At the end of a roller coaster ride, the cars must slow to a stop, but the magnitude of the acceleration cannot exceed 1.6 g's. Given a car with a mass of 2,400 kg (including the passengers), what is the magnitude of the maximum allowable force (in N)

Answer 1

ANSWER:

37632 N

STEP-BY-STEP EXPLANATION:

Given information:

Mass of the car (m) = 2400 kg

Maximum allowed acceleration (a) = 1.6*g

g = 9.8 m/s^2

The maximum allowed force (F) is given by:

$\begin{gathered} F=m\cdot a \\ \text{ in this case} \\ F=2400\cdot1.6\cdot9.8 \\ F=37632\text{ N} \end{gathered}$

The resultant force is equal to 37632 N