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A force of 10 N is applied to move an object 5 m in the direction of the force.

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Question: A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done on the object?

Options:

  1. 10 J
  2. 20 J
  3. 50 J
  4. 5 J

Correct Answer: 20 J

Solution: 

Work done (W) = Force (F) × Distance (d) × cos(θ). Here, θ = 0° (force and displacement are in the same direction). W = 10 N × 5 m × cos(0°) = 10 N × 5 m = 50 J.

A force of 10 N is applied to move an object 5 m in the direction of the force.

Practice Questions

Q1
A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done on the object?
  1. 10 J
  2. 20 J
  3. 50 J
  4. 5 J

Questions & Step-by-Step Solutions

A force of 10 N is applied to move an object 5 m in the direction of the force. What is the work done on the object?
  • Step 1: Identify the force applied to the object, which is 10 N.
  • Step 2: Identify the distance the object is moved, which is 5 m.
  • Step 3: Determine the angle (θ) between the force and the direction of movement. Since they are in the same direction, θ = 0°.
  • Step 4: Use the formula for work done: Work (W) = Force (F) × Distance (d) × cos(θ).
  • Step 5: Substitute the values into the formula: W = 10 N × 5 m × cos(0°).
  • Step 6: Calculate cos(0°), which equals 1.
  • Step 7: Now calculate the work done: W = 10 N × 5 m × 1.
  • Step 8: Multiply the numbers: W = 50 J.
  • Work – Work is defined as the product of force applied to an object and the distance the object moves in the direction of the force.
  • Cosine of Angle – The angle θ in the work formula accounts for the direction of the force relative to the displacement; cos(0°) equals 1 when they are in the same direction.
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