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A person lifts a 10 kg box to a height of 2 m. What is the work done against gra

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Question: A person lifts a 10 kg box to a height of 2 m. What is the work done against gravity? (g = 9.8 m/s²)

Options:

  1. 196 J
  2. 98 J
  3. 20 J
  4. 10 J

Correct Answer: 196 J

Solution: 

Work = mgh = 10 kg * 9.8 m/s² * 2 m = 196 J.

A person lifts a 10 kg box to a height of 2 m. What is the work done against gra

Practice Questions

Q1
A person lifts a 10 kg box to a height of 2 m. What is the work done against gravity? (g = 9.8 m/s²)
  1. 196 J
  2. 98 J
  3. 20 J
  4. 10 J

Questions & Step-by-Step Solutions

A person lifts a 10 kg box to a height of 2 m. What is the work done against gravity? (g = 9.8 m/s²)
  • Step 1: Identify the mass of the box. The mass (m) is 10 kg.
  • Step 2: Identify the height the box is lifted to. The height (h) is 2 m.
  • Step 3: Identify the acceleration due to gravity. The value of g is 9.8 m/s².
  • Step 4: Use the formula for work done against gravity: Work = m * g * h.
  • Step 5: Substitute the values into the formula: Work = 10 kg * 9.8 m/s² * 2 m.
  • Step 6: Calculate the result: Work = 10 * 9.8 * 2 = 196 J.
  • Work Done Against Gravity – Work is calculated as the product of mass, gravitational acceleration, and height (W = mgh).
  • Units of Measurement – Understanding the units involved (kg for mass, m/s² for acceleration, m for height) is crucial for correct calculations.
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