lcoatesxo6926 lcoatesxo6926
  • 13-03-2018
  • Physics
contestada

How much energy is required to move a 1350 kg object from the earth's surface to an altitude twice the earth's radius?

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skyluke89
skyluke89 skyluke89
  • 22-03-2018
The Earth radius is [tex]r=6.37 \cdot 10^6 m[/tex].
For the law of conservation of energy, the energy required to move the object to an altitude of h=2r is equal to the gravitational potential energy of the object at that altitude, which is
[tex]U=mgh=mg(2r)=(1350 kg)(9.81 m/s^2)(2\cdot 6.37\cdot 10^6 m)=[/tex]
[tex]=1.69\cdot 10^{11}J[/tex]
And this is the energy required to move the object at that altitude.
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