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 angular momentum of the car if its mass is 1000 kg? (2000)
  1. 7500 kg m²/s
  2. 10000 kg m²/s
  3. 15000 kg m²/s
  4. 20000 kg m²/s

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 angular momentum of the car if its mass is 1000 kg? (2000)
  • Step 1: Identify the formula for angular momentum (L). The formula is L = m * v * r, where m is mass, v is speed, and r is radius.
  • Step 2: Write down the values given in the question: mass (m) = 1000 kg, speed (v) = 15 m/s, radius (r) = 50 m.
  • Step 3: Substitute the values into the formula: L = 1000 kg * 15 m/s * 50 m.
  • Step 4: Calculate the product: First, multiply 1000 kg by 15 m/s to get 15000 kg m/s.
  • Step 5: Now multiply 15000 kg m/s by 50 m to get 750000 kg m²/s.
  • Step 6: The final answer for the angular momentum (L) is 750000 kg m²/s.
  • Angular Momentum – Angular momentum (L) is the product of mass (m), linear velocity (v), and radius (r) of the circular path.
  • Circular Motion – Understanding the relationship between linear speed and angular momentum in circular motion.
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