Suppose a skydiver (mass = 80kg) is falling toward the earth. calculate the skydiver’s gravitational potential energy at a point when the skydiver is 100m above the earth.
(show the equation, show your work and answer with units.)

The gravitational potential energy of the skydiver=

Given:

Mass of the skydiver=80kg

Distance of the skydiver from the earth=100m

To find:

Gravitational potential energy of the skydiver

Step by Step Explanation:

Solution:

According to the formula, Gravitational Potential Energy (GHE) is calculated as

Where m= Mass of the skydiver

g=Acceleration due to gravity

h=Distance of the skydiver from the earth

Substitute the known values in the above equation we get

Result:

Thus the gravitational potential energy of the skydiver is =

80,000 Joules or 80KJ

Explanation:

Gravitational potential energy is defined as the energy possessed by a body under the influence of gravitational force. The body will therefore possess acceleration due to gravity (g).

Mathematically,

Gravitational potential energy = mass (m) × acceleration due to gravity (g) × height (h)

Given mass of skydiver = 80kg

Height = 100m

taking g = 10m/s²

Substituting the values given in the formula to get the gravitational potential energy, we will have;

GPE = 80×100×10

GPE = 80,000Joules

GPE = 80KJ

the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it