Question

A 2 kg object is in a gravitational field where the acceleration due to gravity is \( 9.8 \, \text{m/s}^2 \). What is the gravitational potential energy of the object at a height of \( 5 \, \text{m} \)?

• A. \( 49 \, \text{J} \)
• B. \( 98 \, \text{J} \)
• C. \( 196 \, \text{J} \)
• D. \( 10 \, \text{J} \)

Hint:

The formula for gravitational potential energy is \( PE = mgh \). Ensure that the height is measured from a reference point (e.g., ground level).

Answer 1

The Correct Option is B

Gravitational potential energy is given by the formula: 
\( U = mgh \) 
Where: 
\( m = 2 \, \text{kg} \) 
\( g = 9.8 \, \text{m/s}^2 \) 
\( h = 5 \, \text{m} \)

Substituting the values: 
\( U = 2 \times 9.8 \times 5 = 98 \, \text{J} \)

Correct Answer:

Option 2: \( 98 \, \text{J} \)