Question

The potential energy of a body at a height of 10 meters is 200 J. What is its mass? (Take \( g = 10 \, \text{m/s}^2 \))

• A. 2 kg
• B. 5 kg
• C. 10 kg
• D. 20 kg

Hint:

Remember: Potential energy is calculated as \( mgh \), where \( m \) is the mass, \( g \) is the gravitational constant, and \( h \) is the height.

Answer 1

The Correct Option is A

Step 1: Employ the potential energy equation The formula for potential energy (\( PE \)) of an object at a specific height is:\[PE = mgh\]Definitions:- \( PE \) denotes potential energy,- \( m \) represents the object's mass,- \( g \) signifies gravitational acceleration,- \( h \) indicates the height.Step 2: Insert provided data Input values:- \( PE = 200 \, \text{J} \),- \( g = 10 \, \text{m/s}^2 \),- \( h = 10 \, \text{m} \).Substitute these into the equation:\[200 = m \times 10 \times 10\]\[200 = 100m\]\[m = \frac{200}{100} = 2 \, \text{kg}\]Answer: The object's mass is determined to be 2 kg. This corresponds to option (1).