Question

A $500kg$ car takes a round turn of radius $50m$ with a velocity of $36km/h$. The centripetal force acting on the car is:

• A. $250N$
• B. $750N$
• C. $1000N$
• D. $1200N$

Answer 1

The correct option is C $1000N$

The centripeatal force required for a car (mass $m$) to take a sharp turn of radius $r$ with velocity $v$ is
$F=\frac{m{v}^2}{r}$
Given $m=500kg$
$v=36km/h=36\times \frac{5}{18}=10m/s$, $r=50m$
Hence, $F=\frac{500\times {\left(10\right)}^2}{50}=1000N$