Question

A car moves with a constant speed of $10{\text{m s}}^{-1}$ in a circular path of radius $10\text{m}$. The mass of the car is $1000\text{kg}$. The centripetal force for the car is:

• A. $10\text{N}$
• B. $100\text{N}$
• C. $1,000\text{N}$
• D. $10,000\text{N}$

Answer 1

The correct option is D $10,000\text{N}$

Given:
Radius of the circular path, $\text{r}=10\text{m}$
Mass of the car, $\text{m}=1000\text{kg}$
Speed of car, $\text{v}=10{\text{m s}}^{-1}$

We know, the centripetal force, $\text{F}=\frac{{\text{mv}}^2}{\text{r}}$

So, $\text{F}=\frac{1000\times {10}^2}{10}=10,000\text{N}$