An object is lifted vertically 4 m against gravity. If the mass of the object is

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Question: An object is lifted vertically 4 m against gravity. If the mass of the object is 10 kg, what is the work done against gravity? (2021)

Options:

Correct Answer: 80 J

Exam Year: 2021

Solution:

Work Done = m * g * h = 10 kg * 9.8 m/s² * 4 m = 392 J (approx. 400 J).

An object is lifted vertically 4 m against gravity. If the mass of the object is 10 kg, what is the work done against gravity? (2021)

An object is lifted vertically 4 m against gravity. If the mass of the object is 10 kg, what is the work done against gravity? (2021)

Step 1: Identify the mass of the object. In this case, the mass (m) is 10 kg.
Step 2: Identify the height the object is lifted. Here, the height (h) is 4 m.
Step 3: Identify the acceleration due to gravity (g). The standard value is approximately 9.8 m/s².
Step 4: Use the formula for work done against gravity: Work Done = m * g * h.
Step 5: Substitute the values into the formula: Work Done = 10 kg * 9.8 m/s² * 4 m.
Step 6: Calculate the result: 10 * 9.8 * 4 = 392 J.
Step 7: Round the answer if necessary. Here, 392 J is approximately 400 J.

Work Done Against Gravity – The work done against gravity is calculated using the formula Work = mass * gravitational acceleration * height.
Units of Measurement – Understanding the units involved (kg for mass, m/s² for acceleration, m for height) is crucial for correct calculations.