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A car travels around a circular track of radius 50 m at a speed of 15 m/s. What

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Question: A car travels around a circular track of radius 50 m at a speed of 15 m/s. What is the centripetal force acting on the car if its mass is 1000 kg?

Options:

  1. 450 N
  2. 225 N
  3. 150 N
  4. 75 N

Correct Answer: 450 N

Solution: 

Centripetal force (F_c) = mv²/r = 1000 kg * (15 m/s)² / 50 m = 4500 N.

A car travels around a circular track of radius 50 m at a speed of 15 m/s. What

Practice Questions

Q1
A car travels around a circular track of radius 50 m at a speed of 15 m/s. What is the centripetal force acting on the car if its mass is 1000 kg?
  1. 450 N
  2. 225 N
  3. 150 N
  4. 75 N

Questions & Step-by-Step Solutions

A car travels around a circular track of radius 50 m at a speed of 15 m/s. What is the centripetal force acting on the car if its mass is 1000 kg?
  • Step 1: Identify the formula for centripetal force, which is F_c = mv²/r.
  • Step 2: Identify the values needed for the formula: mass (m) = 1000 kg, speed (v) = 15 m/s, and radius (r) = 50 m.
  • Step 3: Calculate the speed squared (v²): (15 m/s)² = 225 m²/s².
  • Step 4: Multiply the mass (m) by the speed squared (v²): 1000 kg * 225 m²/s² = 225000 kg·m²/s².
  • Step 5: Divide the result by the radius (r): 225000 kg·m²/s² / 50 m = 4500 N.
  • Step 6: Conclude that the centripetal force acting on the car is 4500 N.
  • Centripetal Force – The 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 applied here to derive centripetal force.
  • Circular Motion – The motion of an object in a circular path, which involves constant speed but changing velocity due to direction change.
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