Question

To what height should an object of mass $\text{2 kg}$ be raised so that its potential energy is $\text{980 J}$?

• A. $\text{10 m}$
• B. $\text{25 m}$
• C. $\text{50 m}$
• D. $\text{100 m}$

Answer 1

The correct option is C

$\text{50 m}$

Potential energy is mathematically represented as $\text{P.E. = m}\times g\times h$ ,
where m is the mass= $\text{2 kg}$, g is the gravitational acceleration = 9.8 $m/s^2$and h is the height from the ground.
Given: $\text{P.E}$ = $\text{980 J}$
On substituting the values, we get:
$980=2\times 9.8\times h$
$\Rightarrow$$\text{h = 50 m}$

Therefore, the object should be raised to 50 m.