A 1 kg mass is lifted to a height of 5 m. How much work is done against gravity?

Practice Questions

Q1
A 1 kg mass is lifted to a height of 5 m. How much work is done against gravity?
  1. 5 J
  2. 10 J
  3. 15 J
  4. 20 J

Questions & Step-by-Step Solutions

A 1 kg mass is lifted to a height of 5 m. How much work is done against gravity?
Correct Answer: 49 J
  • Step 1: Identify the mass being lifted. In this case, the mass is 1 kg.
  • Step 2: Identify the height to which the mass is lifted. Here, the height is 5 m.
  • Step 3: Identify the acceleration due to gravity. On Earth, this is approximately 9.8 m/s².
  • Step 4: Use the formula for work done against gravity, which is Work = mass (m) * gravity (g) * height (h).
  • Step 5: Plug in the values into the formula: Work = 1 kg * 9.8 m/s² * 5 m.
  • Step 6: Calculate the result: 1 * 9.8 * 5 = 49 J.
  • Step 7: Conclude that the work done against gravity is 49 Joules.
  • Work Done Against Gravity – The work done against gravity is calculated using the formula W = mgh, where W is work, m is mass, g is the acceleration due to gravity, and h is the height lifted.
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