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

A

250 N

B

750 N

C

1000 N

D

1200 N

Step-by-Step Solution

  1. Identify Given Values:
  • Mass (mm) = 500 kg500 \text{ kg}
  • Radius (RR) = 50 m50 \text{ m}
  • Velocity (vv) = 36 km/hr36 \text{ km/hr}
  1. Unit Conversion: Convert velocity to SI units (m/s). v=36×518 m/s=10 m/sv = 36 \times \frac{5}{18} \text{ m/s} = 10 \text{ m/s} [Source 141]
  2. Calculate Centripetal Force: The force required to keep a body moving in a circle is given by Fc=mv2RF_c = \frac{mv^2}{R}. Fc=500×(10)250F_c = \frac{500 \times (10)^2}{50} Fc=500×10050F_c = \frac{500 \times 100}{50} Fc=10×100=1000 NF_c = 10 \times 100 = 1000 \text{ N} [Source 49, 68]
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