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. \( 98 \, \text{J} \)
• B. \( 49 \, \text{J} \)
• 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

Step 1: Use the formula for gravitational potential energy \[ PE = mgh \] Where: - \( PE \) is the gravitational potential energy - \( m \) is the mass of the object - \( g \) is the acceleration due to gravity - \( h \) is the height Given: - \( m = 2 \, \text{kg} \) - \( g = 9.8 \, \text{m/s}^2 \) - \( h = 5 \, \text{m} \) Substitute the values into the formula: \[ PE = 2 \times 9.8 \times 5 = 98 \, \text{J} \] Answer: Therefore, the gravitational potential energy of the object is \( 49 \, \text{J} \). So, the correct answer is option (2).