Question:medium
A 50 kg person climbs a staircase of height 10 m. Calculate the work done by the person against gravity.
A 50 kg person climbs a staircase of height 10 m. Calculate the work done by the person against gravity.
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When calculating work done against gravity, remember that the force involved is the weight of the object, which is equal to \( mg \), and the displacement is in the direction of gravity.
Updated On: Feb 19, 2026
- \( 5000 \, \text{J} \)
- \( 1000 \, \text{J} \)
- \( 1500 \, \text{J} \)
- \( 3000 \, \text{J} \)
Show Solution
The Correct Option is A
Solution and Explanation
The work \( W \) performed against gravitational force is calculated using the formula:
\[W = mgh\]
In this equation:
- \( m \) represents the mass of the individual, which is \( 50 \, \text{kg} \).
- \( g \) denotes the acceleration due to gravity, measured at \( 9.8 \, \text{m/s}^2 \).
- \( h \) signifies the vertical distance covered, which is \( 10 \, \text{m} \).
Substituting these values yields:
\[W = 50 \times 9.8 \times 10 = 5000 \, \text{J}\]
Therefore, the total work expended by the person is \( 5000 \, \text{J} \).
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