Question

The formula E= mgh, where E = gravitational potential energy, m = mass, g = gravity, and h = height, is used to calculate gravitational potential energy. Solve this formula for h.


h = E − mg

h equals E over m times g

h = E + mg

h equals m times g over E


Will give the first correct answer brain

Answer 1

Answer: SECOND OPTION.

Step-by-step explanation:

You have the following formula given in the exercise, which is used to calculate gravitational potential energy.

$E= mgh$

You need to solve for the heigh "h".

Remembar that the Division property of Equality  states that:

If $a=b$, then $\frac{a}{c}=\frac{b}{c}$

Therefore, you can divide both sides of the equation by $mg$ in order to solve for "h".

Then, you get:

$E= mgh\\\\\frac{E}{mg}=\frac{ mgh}{mg}\\\\h=\frac{E}{mg}$

Notice that it matches with the second option.

Answer 2

Answer: h equals E over m times g

Step-by-step explanation:

Given : The formula $E= mgh$, where E = gravitational potential energy, m = mass, g = gravity, and h = height, is used to calculate gravitational potential energy.

To find the formula for h , we need to divide mg from both the sides, we get

$\dfrac{E}{mg}=h\ \ or\ h=\dfrac{E}{mg}$

Hence, the formula for h = h equals E over m times g