What is the potential energy of an object with a mass of "3 kg" at a height of "10 m"?

Jan 20, 2016

$\text{PE"_"grav"="300 Joules}$

Explanation:

Potential energy due to gravity is the energy possessed by a body due to its vertical position (height). The equation for determining potential energy due to gravity is $\text{PE"_"grav"=mxxgxxh}$, where $m$ is mass in kg, $g$ is the acceleration due to gravity, and $h$ is the vertical position (height) in meters.

Given/Known
$m = \text{3 kg}$
$g = \text{9.81 m/s"^2}$
$h = \text{10 m}$

Unknown
$\text{PE"_"grav}$

Solution
Substitute the given and known values into the equation.

$\text{PE"_"grav"=mxxgxxh}$

$\text{PE"_"grav"=3"kg"xx9.81"m/s"^2xx10"m}$

$\text{PE"_"grav" =300"kg·m"^2/"s"^2"="300"N·m"="300 Joules}$ (rounded to one significant figure)