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
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
Answer:
85.33m
Explanation:
Based on data given, pomegranate weighs 0.300kg and melon weighs 0.800kg.
The melon is 32m up the tower, so it's GPE=mgh or 0.8*9.8*32=250.88J.
In order for the pomegranate to have the same PE, it must be at a height that gives it a GPE=250.88:
0.300*9.8*h=250.88
2.94h=250.88
h=85.33m
So the pomegranate would have the same GPE as the melon if it was held 85.33m up the tower.
