Question

How much force is required to keep a car on a circular turn of radius 115.2 m if it is traveling at 22.9 m/s and has a mass of 1302 kg?

Answer 1

Given:

Radius = 115.2 m

Velocity = 22.9 m/s

Mass = 1302 kg

Let's find the force required to keep the car.

To find the force, apply the formula:

`F=ma_c=m*(v^2)/(r)`

Where:

m is the mass = 1302 kg

v is the velocity = 22.9 m/s

r is the radius = 115.2 m

Thus, we have:

`\begin{gathered} F=m*(v^2)/(r) \\ \\ F=1302*(22.9^2)/(115.2) \\ \\ F=1302*(524.41)/(115.2) \\ \\ F=1302*4.55 \\ \\ F=5926.9\text{ N} \end{gathered}`

Therefore, the force is 5926.9 N.

ANSWER:

5926.9 N