Question

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

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

Answer 1

Answer: (C)

$1000\,N$

Answer 2

Given , m = 500 kg,
$\nu = 36\,kmh^{-1} = 36 \times \frac{5}{18} = 10 \,ms^{-1}$ , r = 50 m
$F =\frac{m\nu^2}{r}$
Hence, $F=\frac{500 \times (10)^2}{50}$ = 1000 N