Question

A 5 kg bird has 15,000 J worth of GPE. How high must it be above the ground?

Answer 1

306.12m

Step-by-step explanation:

Gravitational Potential Energy or GPE can be computed by the formula:

PEgrav= mgh

where:

PEgrav = GPE (J or kg.m²/s²)

m = mass (kg)

g = acceleration due to gravity (m/s²)

h = height (m)

So all you need to do is fill in what you know and solve what you don't know.

In this case the following are given:

m = 5kg

g = 9.8 m/s²

h = ?

PEgrav = 15,000J or 15,000kg.m²/s²

15,000 kg.m²/s = (5kg)(9.8m/s²)(h)

`15,000kg.m^2/s^2 = (49 kg.m/s^2)h\\\\(15,000kg.m^2/s^2)/(49kg.m^2/s^2)=h\\\\306.12m = h`

The answer is then 306.12m