Question

Question #ed216

Answer 1

`3850.4N`, rounded to one decimal place.

Explanation:

Step 1. We need to calculate the deceleration `a` required to bring the car to halt from a speed of `u=13.5ms^-1` in the specified distance `s`.
We use the kinematic equation
`v^2-u^2=2as`

Inserting given quantities we obtain
`0^2-13.5^2=2xxaxx37.7`
Solving for `a`, we get
`a=-13.5^2/(2xx37.7)ms^-2`

Step 2. To calculate the magnitude of required force `F` we use the relationship obtained from Newton's second law of motion.
`F=ma`
`F=1593xx13.5^2/(2xx37.7)`
`=>F=3850.4N,` rounded to one decimal place.