Question

An object of 10 kg at a height of 5 m has potential energy (\(g = 9.8\,m/s^2\)): 

• A. 49 J
• B. 500 J
• C. 490 J
• D. 980 J Correct Answer: (C) 490 J Solution:

Hint:

Potential energy increases with height. If either mass or height doubles, the potential energy also doubles. \[ PE=mgh \] is one of the most important formulas in mechanics.

Answer 1

The Correct Option is C

Step 1: Write the formula.
The energy stored because of height is mass times gravity times height.
\[ PE = mgh \]

Step 2: Note the values.
Here $m = 10$ kg, $g = 9.8$ m/s$^2$ and $h = 5$ m.

Step 3: Multiply them.
\[ PE = 10 \times 9.8 \times 5 = 490 \text{ J} \]
\[ \boxed{490 \text{ J}} \]