A particle is moving in a circular path with a radius of 2 m and a speed of 3 m/

Practice Questions

Q1
A particle is moving in a circular path with a radius of 2 m and a speed of 3 m/s. What is the angular momentum of the particle if its mass is 4 kg?
  1. 24 kg·m²/s
  2. 12 kg·m²/s
  3. 6 kg·m²/s
  4. 9 kg·m²/s

Questions & Step-by-Step Solutions

A particle is moving in a circular path with a radius of 2 m and a speed of 3 m/s. What is the angular momentum of the particle if its mass is 4 kg?
  • Step 1: Identify the given values. The mass (m) of the particle is 4 kg, the speed (v) is 3 m/s, and the radius (r) of the circular path is 2 m.
  • Step 2: Understand the formula for angular momentum (L). The formula is L = m * v * r.
  • Step 3: Substitute the values into the formula. Replace m with 4 kg, v with 3 m/s, and r with 2 m.
  • Step 4: Calculate the angular momentum. Multiply 4 kg by 3 m/s and then by 2 m: 4 * 3 * 2.
  • Step 5: Perform the multiplication. First, 4 * 3 = 12, then 12 * 2 = 24.
  • Step 6: Write the final answer. The angular momentum (L) is 24 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.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely