Question 2) A rocket with a mass of 2 410 6 kg must travel from the earth's surface to a point (r 2 ) where its orbital period is 13 65 days (half that of the moon) a) Find r 2 and the initial velocity (V 1 ) needed to get it there b) What orbital velocity will it have at this orbital radius Total orbital energy c) If the rocket must then transfer to a new orbital radius (r 3 3 84 x 10 8 m orbit of moon) what is its new orbital speed Total orbital energy now d) What speed did the rocket have to accelerate to in order to move from its orbit at r 2 to its orbit at r 3 d ) What speed did the rocket have to accelerate to in order to move from its orbit at ro to its orbit at r3 r3 52 (2) A rocket with a mass of 2 4x106 kq must travel from the earth's surface to a point ( r, )where its orbital period is 13 65 days ( half that of the moon) a ) Find r, and the initial velocity ( Vi ) needed to get it there b) What orbital velocity will it have at this orbital radius Total orbital energy ( ) If the rocket must then transfer to a new orbital radius ( 13 3 84 x 10 'm orbit of moon ) what is its new orbital x Speed Total orbital energy now DD x 16

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Question 2) A rocket with a mass of 2.410 6 kg must travel from the earth's surface to a point (r 2 ) where its

Question 2) A rocket with a mass of 2.410⁶ kg must travel from the earth's surface to a point (r₂) where its orbital period is 13.65 days (half that of the moon).

a) Find r₂ and the initial velocity (V₁) needed to get it there

b) What orbital velocity will it have at this orbital radius? Total orbital energy?

c) If the rocket must then transfer to a new orbital radius (r₃ = 3.84 x 10⁸m = orbit of moon) what is its new orbital speed? Total orbital energy now?

d) What speed did the rocket have to accelerate to in order to move from its orbit at r₂ to its orbit at r₃?

d ) What speed did the rocket have to accelerate to in order to move from its orbit at ro to its orbit at r3? - - - -. r3 - - - - - 52 - - -(2) A rocket with a mass of 2.4x106 kq must travel from the earth's surface to a point ( r, )where its orbital period is 13.65 days ( half that of the moon). a ) Find r, and the initial velocity ( Vi ) needed to get it there. b) What orbital velocity will it have at this orbital radius? Total orbital energy ? ( ) If the rocket must then transfer to a new orbital radius ( 13 : 3. 84 x 10 'm = orbit of moon ) what is its new orbital - . x - - Speed? Total orbital energy now. DD... x 16