How much work is done against the gravitational... - JAMB Physics 2023 Question
How much work is done against the gravitational force on a 3.0 kg object when it is carried from the ground floor to the roof of a building, a vertical climb of 240 m?
A
7.2 kJ
B
4.6 kJ
C
6.8 kJ
D
8.4 kJ
correct option: a
The work done against the gravitational force is indeed calculated using the formula \(W = mgh\), where \(m\) is the mass of the object, \(g\) is the acceleration due to gravity (approximately \(9.8 m/s^2\) on Earth), and \(h\) is the height.
Substituting the given values:
\[ W = 3.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 240 \, \text{m} \]
\[ W = 7.2 \, \text{kJ} \]
Therefore, the correct answer is 7.2 kJ
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