Q. A car is moving on a circular road of diameter 50 m with a speed of $5\ ms^{- 1}$. It is suddenly accelerated at rate 1$\ ms^{- 2}$. If the mass is 500 kg, find the net force acting on the car
A) 5 N
B) 1000 N
C) 500$\sqrt{2}\ $N
D) $500/\sqrt{2}$ N
Explanation
(c) Here, $r = 25m,v = 5\ ms^{- 1},m = 500$ kg
$a_{t} = 1\ ms^{- 2}$,
$a_{r} = \frac{v^{2}}{r} = \frac{5 \times 5}{25} = 1\ ms^{- 2}$
$a_{net} = \sqrt{a_{r}^{2} + a_{t}^{2}} = \sqrt{1^{2} + 1^{2}} = \sqrt{2}\ ms^{- 2}$
$F = ma_{net} = 500\sqrt{2}\ N$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.