A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is:

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Accepted Answer

1. **Identify Given Values:**
   - Mass ($m$) = $500 	ext{ kg}$
   - Radius ($R$) = $50 	ext{ m}$
   - Velocity ($v$) = $36 	ext{ km/hr}$
2. **Unit Conversion:** Convert velocity to SI units (m/s).
   $$ v = 36 	imes \frac{5}{18} 	ext{ m/s} = 10 	ext{ m/s} $$
   [Source 141]
3. **Calculate Centripetal Force:** The force required to keep a body moving in a circle is given by $F_c = \frac{mv^2}{R}$.
   $$ F_c = \frac{500 	imes (10)^2}{50} $$
   $$ F_c = \frac{500 	imes 100}{50} $$
   $$ F_c = 10 	imes 100 = 1000 	ext{ N} $$
   [Source 49, 68]

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