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If a force of 5 N is applied at an angle of 60 degrees to the horizontal while m

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Question: If a force of 5 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done by the force?

Options:

  1. 7.5 J
  2. 15 J
  3. 12.99 J
  4. 10 J

Correct Answer: 12.99 J

Solution: 

Work done = Force × Distance × cos(θ) = 5 N × 3 m × cos(60°) = 5 N × 3 m × 0.5 = 7.5 J.

If a force of 5 N is applied at an angle of 60 degrees to the horizontal while m

Practice Questions

Q1
If a force of 5 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done by the force?
  1. 7.5 J
  2. 15 J
  3. 12.99 J
  4. 10 J

Questions & Step-by-Step Solutions

If a force of 5 N is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done by the force?
Correct Answer: 7.5 J
  • Step 1: Identify the force applied, which is 5 N.
  • Step 2: Identify the distance the object is moved, 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 = 5 N × 3 m × cos(60°).
  • Step 6: Calculate cos(60°), which is 0.5.
  • Step 7: Substitute cos(60°) into the formula: Work = 5 N × 3 m × 0.5.
  • Step 8: Calculate the work done: Work = 5 N × 3 m × 0.5 = 7.5 J.
  • Work Done – Work is calculated 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 movement.
  • Trigonometric Functions – Understanding how to apply the cosine function to find the effective component of the force acting in the direction of motion.
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