A Projectile Is Launched from the Surface of a Planet $\left[ \frac { 4 G M } { 3 R } \right] ^ { 1 / 2 }$

question 51

Multiple Choice

A projectile is launched from the surface of a planet (mass = M,radius = R) .What minimum launch speed is required if the projectile is to rise to a height of 2R above the surface of the planet? Disregard any dissipative effects of the atmosphere.

• A) \(\left[ \frac { 4 G M } { 3 R } \right] ^ { 1 / 2 }\)
• B) \(\left[ \frac { 8 G M } { 5 R } \right] ^ { 1 / 2 }\)
• C) \(\left[ \frac { 3 G M } { 2 R } \right] ^ { 1 / 2 }\)
• D) \(\left[ \frac { 5 G M } { 3 R } \right] ^ { 1 / 2 }\)
• E) \(\left[ \frac { G M } { 3 R } \right] ^ { 1 / 2 }\)

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Definitions:

Cognitive Flexibility

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