Question #ed216

1 Answer
A08
Aug 18, 2016

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.

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