Question

The centripetal force required by a $1000kg$ car that takes a turn of radius $50m$ at a speed of $36kmph$ is:

• A. $1000N$
• B. $3500N$
• C. $1600N$
• D. $2000N$

Answer 1

The correct option is D

$2000N$

Step 1: Given

Mass, $m=1000kg$

Radius, $r=50m$

Speed,$$\begin{gathered} v=36kmph \\ =10m/s \end{gathered}$$

Step 2: Formula used

Centripetal force is $F=\frac{m{v}^2}{r}$

Step 3: Determine the force

Centripetal force is given by,

$$\begin{gathered} F=\frac{m{v}^2}{r} \\ =\frac{1000\times {\left(10\right)}^2}{50} \\ =2000N \end{gathered}$$

Therefore, option D is the correct option.