Question #ed216

1 Answer
Aug 18, 2016

Answer:

#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.