Question

A stone of mass \(1\,\text{kg}\) is raised through \(1\,\text{m}\) height.

• A. The loss of gravitational potential energy by the stone is 1 joule
• B. The gain of gravitational potential energy by the stone is 1 joule
• C. The loss of gravitational potential energy is 9.8 joule
• D. The gain of gravitational potential energy is 9.8 joule

Hint:

Gravitational potential energy: [ textGPE = mgh ] It increases when an object is raised and decreases when it falls.

Answer 1

The Correct Option is D

Step 1: Recall the formula for gravitational potential energy. \[ \text{GPE} = mgh \] Step 2: Substitute the given values. \[ m = 1\,\text{kg}, \quad g = 9.8\,\text{m/s}^2, \quad h = 1\,\text{m} \] \[ \text{GPE} = 1 \times 9.8 \times 1 = 9.8\,\text{J} \] Step 3: Interpret the result. Since the stone is raised, its gravitational potential energy increases. Step 4: Final conclusion. The stone gains gravitational potential energy of \(9.8\) joules. \[ \boxed{\text{The gain of gravitational potential energy is } 9.8\ \text{J}} \]