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An object is moving in a circular path with a radius of 10 m and a speed of 5 m/

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Question: An object is moving in a circular path with a radius of 10 m and a speed of 5 m/s. What is the net force acting on the object if its mass is 2 kg?

Options:

  1. 1 N
  2. 2 N
  3. 5 N
  4. 10 N

Correct Answer: 10 N

Solution: 

Centripetal force (F_c) = mv²/r = 2 kg * (5 m/s)² / (10 m) = 5 N.

An object is moving in a circular path with a radius of 10 m and a speed of 5 m/

Practice Questions

Q1
An object is moving in a circular path with a radius of 10 m and a speed of 5 m/s. What is the net force acting on the object if its mass is 2 kg?
  1. 1 N
  2. 2 N
  3. 5 N
  4. 10 N

Questions & Step-by-Step Solutions

An object is moving in a circular path with a radius of 10 m and a speed of 5 m/s. What is the net force acting on the object if its mass is 2 kg?
  • Step 1: Identify the formula for centripetal force, which is F_c = mv²/r.
  • Step 2: Determine the mass (m) of the object, which is given as 2 kg.
  • Step 3: Determine the speed (v) of the object, which is given as 5 m/s.
  • Step 4: Determine the radius (r) of the circular path, which is given as 10 m.
  • Step 5: Substitute the values into the formula: F_c = 2 kg * (5 m/s)² / (10 m).
  • Step 6: Calculate (5 m/s)², which equals 25 m²/s².
  • Step 7: Multiply 2 kg by 25 m²/s², which equals 50 kg*m²/s².
  • Step 8: Divide 50 kg*m²/s² by 10 m, which equals 5 N.
  • Step 9: Conclude that the net force acting on the object is 5 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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