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A centripetal force of 195 N acts on a 1,600-kg satellite moving with a speed of 4,700 m/s in a circular orbit around a planet. What is the radius of its orbit?

Answer :

The radius of the orbit is 181251282.05 m.

What is radius?

Radius can be defined as the line drawn from the center of a circle to any point of the circumference.

To calculate the radius of the orbit, we use the formula of centripetal force.

Formula:

  • F = mV²/R............. Equation 1

Where:

  • F = Centripetal force
  • m = mass of the orbit
  • V = Velocity of the orbit
  • R = Radius of the orbit

Make R the subject of the equation,

  • R = mV²/F............ Equation 2

From the question,

Given:

  • F = 195 N
  • m = 1600 kg
  • V = 4700 m/s

Substitute these values into equation 2

  • R = (1600×4700²)/195
  • R = 181251282.05 m

Hence, the radius of the orbit is 181251282.05 m.

Learn more about radius here: https://brainly.com/question/26215003

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