Question

A car is moving on a circular road of diameter 50 m with a speed of 5 m/s. It is suddenly accelerated at a rate of $1m/s^2$. If the mass of the car is 500 kg, then the net force acting on the car is:

• A. $5N$
• B. $1000N$
• C. $500\sqrt{2}N$
• D. $\frac{500}{\sqrt{2}}N$

Answer 1

Answer: (C)

$500\sqrt{2}N$

Given, $r=25m,v=5m/s,m=500kg$
$a_t=1m/s^2,a_r=\frac{v^2}{r}=\frac{5\times 5}{25}=1m/s^2$
$a_{net}=\sqrt{a_t^2+a_r^2}=\sqrt{1^2+1^2}=\sqrt{2}m/s^2$
$F={ma}_{net}=500\sqrt{2}N$