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A 10 N force is applied to move an object 3 m. What is the work done if the forc

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Question: A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?

Options:

  1. 15 J
  2. 30 J
  3. 25 J
  4. 20 J

Correct Answer: 15 J

Solution: 

Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J

A 10 N force is applied to move an object 3 m. What is the work done if the forc

Practice Questions

Q1
A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?
  1. 15 J
  2. 30 J
  3. 25 J
  4. 20 J

Questions & Step-by-Step Solutions

A 10 N force is applied to move an object 3 m. What is the work done if the force is applied at an angle of 60 degrees to the direction of motion?
  • Step 1: Identify the force applied to the object, which is 10 N.
  • Step 2: Identify the distance the object moves, which is 3 m.
  • Step 3: Identify the angle at which the force is applied, which is 60 degrees.
  • Step 4: Use the formula for work done: Work = Force × Distance × cos(θ).
  • Step 5: Substitute the values into the formula: Work = 10 N × 3 m × cos(60°).
  • Step 6: Calculate cos(60°), which is 0.5.
  • Step 7: Substitute cos(60°) into the formula: Work = 10 N × 3 m × 0.5.
  • Step 8: Calculate the work done: Work = 10 × 3 × 0.5 = 15 J.
  • Work Done – Work is defined as the product of the force applied, the distance moved in the direction of the force, and the cosine of the angle between the force and the direction of motion.
  • Angle in Work Calculation – Understanding how the angle affects the effective component of the force in the direction of motion is crucial for calculating work.
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