Question

4.
The energy required to move a satellite of mass m from an orbit of radius 2 to 3R around earth of mass M is
(a) GMm/12R (b) GMm/R (c) GMm/8R (d) GMm/2R
(e) GMm/3R



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Answer 1

Energy at radius 2R = - GM m/2R. + GmM/4R = - GMm/4R

Energy at radius 3R = - GMm/3R + GmM/6R = - GmM/6R

Energy required = Gmm(1/4- 1/6)/R

= GMm/12R

Answer 2

Dear Student,

◆ Answer - (a)

∆E = GMm/12R

● Explanation -

Energy of satellite at radius 2R is given by -

E1 = GMm/2r1

E1 = GMm/2(2R)

E1 = GMm/4R

Energy of satellite at radius 2R is given by -

E2 = GMm/2r2

E2 = GMm/2(3R)

E2 = GMm/6R

Energy required to move a satellite of from orbit of radius 2R to 3R is -

∆E = E1 - E2

∆E = GMm/4R - GMm/6R

∆E = GMm/12R

Hence, energy required to move a satellite of from orbit of radius 2R to 3R is GMm/12R.

Thanks dear. Hope this helps you...