What is the work done when a force of 15 N moves an object 3 m at an angle of 60

Practice Questions

Q1
What is the work done when a force of 15 N moves an object 3 m at an angle of 60° to the direction of the force?
  1. 22.5 J
  2. 30 J
  3. 36.5 J
  4. 45 J

Questions & Step-by-Step Solutions

What is the work done when a force of 15 N moves an object 3 m at an angle of 60° to the direction of the force?
  • Step 1: Identify the force applied, which is 15 N.
  • Step 2: Identify the distance the object is moved, which is 3 m.
  • Step 3: Identify the angle between the force and the direction of movement, which is 60°.
  • Step 4: Use the formula for work done: W = F × d × cos(θ).
  • Step 5: Substitute the values into the formula: W = 15 N × 3 m × cos(60°).
  • Step 6: Calculate cos(60°), which is 0.5.
  • Step 7: Substitute cos(60°) into the equation: W = 15 N × 3 m × 0.5.
  • Step 8: Calculate the work done: W = 15 × 3 × 0.5 = 22.5 J.
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