Moderate

A car of mass 1000kg is moving with speed 72km/h in a circular track of radius 100m. The centripetal force acting on it is

Correct answer: D. 4000N

  • A. 4N
  • B. 400N
  • C. 40N
  • D. 4000N

Explanation

The explanation is as follows To calculate the centripetal force acting on a car of mass 1000kg moving with speed 72km/h in a circular track of radius 100m, we can use the following formula: F_c = mv^2 / r where: Fc is the centripetal force in Newtons (N) m is the mass of the object in kilograms (kg) v is the velocity of the object in meters per second (m/s) r is the radius of the circle in meters (m) First, we need to convert the car's speed from kilometers per hour to meters per second. We can do this by multiplying by 5/18: v = 72 km/h * 5/18 m/s/km = 20 m/s Now, we can plug in the values for m, v, and r into the formula for centripetal force: F_c = (1000 kg)(20 m/s)^2 / 100 m = 4000 N Therefore, the centripetal force acting on the car is 4000 N.

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