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What is the work done by a force of 15 N acting at an angle of 60° while moving

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Question: What is the work done by a force of 15 N acting at an angle of 60° while moving an object 4 m? (2021)

Options:

  1. 30 J
  2. 60 J
  3. 45 J
  4. 90 J

Correct Answer: 45 J

Exam Year: 2021

Solution: 

Work = F × d × cos(θ) = 15 N × 4 m × cos(60°) = 15 × 4 × 0.5 = 30 J.

What is the work done by a force of 15 N acting at an angle of 60° while moving

Practice Questions

Q1
What is the work done by a force of 15 N acting at an angle of 60° while moving an object 4 m? (2021)
  1. 30 J
  2. 60 J
  3. 45 J
  4. 90 J

Questions & Step-by-Step Solutions

What is the work done by a force of 15 N acting at an angle of 60° while moving an object 4 m? (2021)
  • Step 1: Identify the force acting on the object, which is 15 N.
  • Step 2: Identify the distance the object is moved, which is 4 m.
  • Step 3: Identify the angle at which the force is applied, which is 60°.
  • Step 4: Use the formula for work done: Work = Force × Distance × cos(Angle).
  • Step 5: Substitute the values into the formula: Work = 15 N × 4 m × cos(60°).
  • Step 6: Calculate cos(60°), which is 0.5.
  • Step 7: Substitute cos(60°) into the equation: Work = 15 N × 4 m × 0.5.
  • Step 8: Calculate the work done: Work = 15 × 4 × 0.5 = 30 J.
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