Question

Taking the earth to be uniform sphere of radius 6400km,calculate the total energy needed to raise a satellite of mass 10 kg to a height of 600km above the ground and to set it into circular orbit at that altitude.​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

3.47*10^8 J

Explanation:

Given:

R= 6400km= 6.4 *10^6 m

g= 10 m/s^2

m= 10kg

h= 600 km= 6*10^5m

E=?

Here,

E=  ΔP.E. +  ΔK.E

= GMm/R - GMm/R+h + 1/2 * mv^2

= GMm (1/R - 1/R+h + 1/2(R+h) [since: v is orbital velocity= GM / (R+h) ]

= gmR^2 {1/R - 1/2(R+h) }

=mg {R- R^2/2(R+h) }

Putting the values, we get,

E= 3.47*10^8 J