A 3 kg object is lifted to a height of 4 m. What is the work done against gravit

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Question: A 3 kg object is lifted to a height of 4 m. What is the work done against gravity? (g = 9.8 m/s²)

Options:

Correct Answer: 117.6 J

Solution:

Work done (W) = mgh = 3 kg × 9.8 m/s² × 4 m = 117.6 J.

A 3 kg object is lifted to a height of 4 m. What is the work done against gravity? (g = 9.8 m/s²)

A 3 kg object is lifted to a height of 4 m. What is the work done against gravity? (g = 9.8 m/s²)

Step 1: Identify the mass of the object. In this case, the mass (m) is 3 kg.
Step 2: Identify the height to which the object is lifted. Here, the height (h) is 4 m.
Step 3: Identify the acceleration due to gravity. It is given as g = 9.8 m/s².
Step 4: Use the formula for work done against gravity, which is W = mgh.
Step 5: Substitute the values into the formula: W = 3 kg × 9.8 m/s² × 4 m.
Step 6: Calculate the result: 3 × 9.8 = 29.4, then 29.4 × 4 = 117.6.
Step 7: The work done against gravity is 117.6 Joules (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.