Question

A 50 kg person climbs a staircase of height 10 m. Calculate the work done by the person against gravity.

• A. \( 5000 \, \text{J} \)
• B. \( 1000 \, \text{J} \)
• C. \( 1500 \, \text{J} \)
• D. \( 3000 \, \text{J} \)

Hint:

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.

Answer 1

The Correct Option is A

The work done \( W \) against gravity is given by: \[ W = mgh \] Where: - \( m = 50 \, \text{kg} \) is the mass of the person, - \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity, - \( h = 10 \, \text{m} \) is the height of the staircase. Now, substitute the values: \[ W = 50 \times 9.8 \times 10 = 5000 \, \text{J} \] Thus, the work done by the person is \( 5000 \, \text{J} \).