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?
5 J
10 J
15 J
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.