Questions: Which is the equation for an object's potential energy? (1 point) PE = 1/2 mgh PE = 2mgh PE = mg^2h PE = mgh

Transcript text: COURSE OUTLINE Potential Energy of a System Quick Check COURSE TOOLS Which is the equation for an object's potential energy? (1 point) $P E=\frac{1}{2} m g h$ $P E=2 m g h$ $P E=m g^{2} h$ $P E=m g h$

Solution

Solution Steps

Step 1: Identify the correct formula for potential energy

The potential energy (PE) of an object in a gravitational field is given by the formula: \[ PE = mgh \] where:

$ m $ is the mass of the object,
$ g $ is the acceleration due to gravity,
$ h $ is the height above the reference point.

Step 2: Compare the given options with the correct formula

We need to compare the given options with the correct formula $ PE = mgh $:

$ PE = \frac{1}{2} mgh $
$ PE = 2mgh $
$ PE = mg^2h $
$ PE = mgh $

Step 3: Select the correct option

The correct formula matches the fourth option.

Final Answer

$\boxed{PE = mgh}$

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