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
[tex]U=mgh[/tex]
where
m is the mass of the object
[tex]g=9.8 m/s^2[/tex] 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
[tex]U=(75)(9.8)(100)=73500 J[/tex]
2)
The kinetic energy of a body is the energy due to its motion, and it is given by
[tex]K=\frac{1}{2}mv^2[/tex]
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
[tex]K=\frac{1}{2}(75)(60)^2=135000 J[/tex]
3)
The mechanical energy of an object is the sum of the gravitational potential energy and the kinetic energy of the object:
[tex]E=U+K[/tex]
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
[tex]E=73,500 + 135,000 = 208,500 J[/tex]
Learn more about potential energy and kinetic energy:
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