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A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What

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Question: A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What is the net force acting on the car if its mass is 1000 kg?

Options:

  1. 200 N
  2. 300 N
  3. 400 N
  4. 500 N

Correct Answer: 400 N

Solution: 

Centripetal force = mv²/r = 1000(15²)/50 = 4500 N.

A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What

Practice Questions

Q1
A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What is the net force acting on the car if its mass is 1000 kg?
  1. 200 N
  2. 300 N
  3. 400 N
  4. 500 N

Questions & Step-by-Step Solutions

A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What is the net force acting on the car if its mass is 1000 kg?
  • Step 1: Identify the formula for centripetal force, which is F = mv²/r.
  • Step 2: Determine the mass (m) of the car, which is 1000 kg.
  • Step 3: Determine the speed (v) of the car, which is 15 m/s.
  • Step 4: Determine the radius (r) of the circular track, which is 50 m.
  • Step 5: Calculate v² (15 m/s)² = 225 m²/s².
  • Step 6: Multiply the mass (1000 kg) by v² (225 m²/s²): 1000 kg * 225 m²/s² = 225000 kg·m²/s².
  • Step 7: Divide the result by the radius (50 m): 225000 kg·m²/s² / 50 m = 4500 N.
  • Step 8: Conclude that the net force acting on the car is 4500 N.
  • Centripetal Force – The net force required to keep an object moving in a circular path, directed towards the center of the circle.
  • Newton's Second Law – The relationship between force, mass, and acceleration, which is fundamental in calculating net forces.
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