Question

A 1400-kg car is traveling with a speed of 17.7 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 33.1 m?

Answer 1

The magnitude of the horizontal net force is 13244 N.

Step-by-step explanation:

Given that,

Mass of car = 1400 kg

Speed = 17.7 m/s

Distance = 33.1 m

We need to calculate the acceleration

Using equation of motion

`v^2-u^2=2as`

Where, u = initial velocity

v = final velocity

s = distance

Put the value in the equation

`0-(17.7)^2=2a* 33.1`

`a=(-(17.7)^2)/(33.1)`

`a=-9.46\ m/s^2`

Negative sign shows the deceleration.

We need to calculate the net force

Using newton's formula

`F = ma`

`F =1400*(-9.46)`

`F=-13244\ N`

Negative sign shows the force is opposite the direction of the motion.

The magnitude of the force is

`|F| =13244\ N`

Hence, The magnitude of the horizontal net force is 13244 N.