Question

1. an object has a mass of 3 kg and a gravitational potential energy of 294 j. how high above the ground is the object?

givens:
$m = $ ______
$e_p = $ ______
unknowns:
what are you solving for?
______
equation to use:
substitute & solve:

Explanation:

Step1: List given values

$m = 3\ \text{kg}$, $E_p = 294\ \text{J}$, $g = 9.8\ \text{m/s}^2$

Step2: Recall potential energy formula

$E_p = mgh$

Step3: Rearrange for height $h$

$h = \frac{E_p}{mg}$

Step4: Substitute values and calculate

$h = \frac{294}{3 \times 9.8} = \frac{294}{29.4} = 10$

Answer:

The object is 10 meters above the ground.

Filled-in sections from the problem:

Givens:
$m = 3\ \text{kg}$
$E_p = 294\ \text{J}$
Unknowns:
What are you solving for? Height ($h$)
Equation to use: $E_p = mgh$
Substitute & Solve: $h = \frac{294}{3 \times 9.8} = 10\ \text{m}$