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A projectile is launched from the surface of a planet (mass = 5x1024, radius = 1.1x106)....

A projectile is launched from the surface of a planet (mass = 5x1024, radius = 1.1x106). What minimum launch speed is required if the projectile is to rise to a height above the surface of the planet equal to half the radius? Disregard any dissipative effects of the atmosphere.

use WNC = 0= ΔU + ΔK = −GMm[(1/rB)-(1/rA)]+(1/2)m(vf^2-v0^2)

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