A body of mass $10$ kg is located at a height of $10$ m from the reference level. Given that $g = 10$ m/s$^2$, calculate the potential energy of the body.

1. Problem Description

A body of mass $10$ kg is located at a height of $10$ m from the reference level. Given that $g = 10$ m/s$^2$, calculate the potential energy of the body.

2. Solution Steps

The potential energy ($U$) of an object is given by the formula:

$U = mgh$

where:

$m$ is the mass of the object,

$g$ is the acceleration due to gravity, and

$h$ is the height of the object from the reference level.

In this problem, we have:

$m = 10$ kg

$g = 10$ m/s$^2$

$h = 10$ m

Substituting these values into the formula, we get:

$U = (10 \text{ kg}) \times (10 \text{ m/s}^2) \times (10 \text{ m})$

$U = 1000 \text{ kg m}^2/\text{s}^2$

Since 1 Joule (J) $= 1 \text{ kg m}^2/\text{s}^2$, we have:

$U = 1000 \text{ J}$

3. Final Answer

The potential energy of the body is $1000$ J.