Carry's car has a mass of 1000 kg and its brakes can apply 8000 N of force. If she is driving at 24 m/s and sees something in th

Question

2 years ago

5

e road suddenly, how long will it take her car to come to a stop? Use the equation below to help you.

1 answer:

-Dominant- [34] · Answer 1 · 2023-05-09T15:18:56+03:00

3s

Explanation:

Given parameters:

Mass of car = 1000kg

Force applied = 8000N

speed = 24m/s

Unknown:

time taken for the car to stop = ?

Solution:

According to newton's second law of motion; "the force on a body is the product of its mass and acceleration".

Force = mass x acceleration

let us find the acceleration of the car;

a = $\frac{F}{M}$ = $\frac{8000}{1000}$ = 8m/s²

since the car is accelerating at a rate of 8m/s², when the brakes are applied, it will start decelerating at the constant rate, - 8m/s²

Applying the appropriate equation of motion;

V = U + at

V is the final velocity

U is the initial velocity

a is the acceleration

t is the time taken

final velocity = 0

0 = U + at

-U = at

-24 = -8t

t = 3s

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