Question

A body of mass 2 kg is raised to a height of 5 m. What is the potential energy gained? (Take $ g = 10 \, \text{m/s}^2 $)

• A. 10 J
• B. 50 J
• C. 100 J
• D. 150 J

Hint:

Gravitational potential energy is given by \( PE = mgh \). Always use consistent units: mass in kg, height in meters, and \( g = 9.8 \) or 10 \( \text{m/s}^2 \) as approximated. This formula tells you how much energy is stored due to elevation.

Answer 1

The Correct Option is C

The gravitational potential energy (PE) acquired by an object elevated to a specific altitude is calculated using the formula:
\[ PE = mgh \] With:
\( m \) = mass of the object = 2 kg
\( g \) = acceleration due to gravity = 10 \( \text{m/s}^2 \)
\( h \) = altitude = 5 m
Calculation:
\[ PE = 2 \times 10 \times 5 = 100 \, \text{J} \] Conclusion:
The object has accumulated 100 joules of gravitational potential energy due to its elevated position. This stored energy is a consequence of its height above the reference point and can be transformed into kinetic energy upon descent.
Rationale for excluding other options:
- 10 J and 50 J are inconsistent with the provided formula and values.
- 150 J would necessitate a larger mass or height.