Question

C. At what height would the pomegranate have the same potential energy as the melon? (1 point)

Answer 1

Answer:

Given a set of assumptions which are given below, the height at which the pomegranate will have the same potential energy as the melon is 39.19 meters.

Explanation:

Gravitational Potential Energy refers to the acquired innate energy of an object due to its elevation above the surface of the earth.

This energy is the result of gravitational pull or force acting on the object.

In other to determine at what height a pomegranate and a watermelon will have the same potential energy we need to know the other factors in play.

Gravitational Potential Energy (Ep)= mgh

Where m = Mass (kg)

            g  =  gravitational field strength (N/kg)

            h  = height (m)

           Ep = gravitational potential energy ( j )

Let us assume that the

• An average pomegranate weighs about 0.255146Kg

• An average melon weighs about  10Kg
• g is always constant at 9.8 N/kg

Note that melons weight much more than pomegranates.

   

So, let's calculate for the Ep of the melon at the height of  1 meter

Ep = 10 x 9.8 X 1 = 98j  

Using the above assumptions, we do a goal seek using Microsoft Excel. Please see the attached image.

Calculation shows that the Height (h/Meters) at which the Ep of both veggies become equal is 39.19m

This can be verified by inserting the figure and multiplying it. It can also be calculated as follows:

That is

Ep = 98j

m = 0.255146kg

g= 9.8kg

h=  ?

98= 0.255146 x 9.8 x h

98 = 2.5004308h (we divide both sides by 2.5004308 to make h the subject matter)

h = 98 / 2.5004308

h = 39.1932462198

Which is approximately 39.19