Question

5. Suppose a skydiver (mass = 75kg) is falling toward the Earth. When the skydiver is 100m above the Earth he is moving at 60m/s. At this point calculate the skydiver’s…….Show your work and answer: PE=mgh M= G= H=

Answer 1

1) Gravitational potential energy: 73 500 J

2) Kinetic energy: 135 000 J

3) Mechanical energy: 208 500 J

Explanation:

1)

The gravitational potential energy of an object is the energy possessed by the object due to its position in the Earth's gravitational field, and it is given by

$U=mgh$

where

m is the mass of the object

$g=9.8 m/s^2$ is the acceleration of gravity

h is the height of the object relative to the ground

For the skydiver in this problem,

m = 75 kg is his mass

h = 100 m is his height above the Earth

Substituting, we find

$U=(75)(9.8)(100)=73500 J$

2)

The kinetic energy of a body is the energy due to its motion, and it is given by

$K=\frac{1}{2}mv^2$

where

m is the mass of the body

v is its speed

For the skydiver in this problem,

m = 75 kg is his mass

v = 60 m/s is his speed

Substituting, we find the kinetic energy

$K=\frac{1}{2}(75)(60)^2=135000 J$

3)

The mechanical energy of an object is the sum of the gravitational potential energy and the kinetic energy of the object:

$E=U+K$

where

U is the gravitational potential energy

K is the kinetic energy

For the skydiver in this problem,

U = 73,500 J is the gravitational potential energy

K = 135,000 J is the kinetic energy

Substituting, we find

$E=73,500 + 135,000 = 208,500 J$

Learn more about potential energy and kinetic energy:

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