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The acceleration due to gravity on the Moon is about one-sixth of that on the Ea

ID: 1350661 • Letter: T

Question

The acceleration due to gravity on the Moon is about one-sixth of that on the Earth.

For a projectile with an initial velocity of 21.5 m/s upward, what would be the maximum height of flight on the Moon?

For a projectile with an initial velocity of 21.5 m/s upward, what would be the total time of flight on the Moon?

For a projectile with an initial velocity of 21.5 m/s upward, what would be the maximum height of flight on the Earth?

For a projectile with an initial velocity of 21.5 m/s upward, what would be the total time of flight and on the Earth?

Explanation / Answer

accelaration due to gravity on moon g'= g/6 = 9.81/6 = 1.635 m/s^2

A) u = 21.5 m/s

Hmax = u^2/(2*g') = 21.5*21.5/(2*1.635) = 141.4 m


B) T = 2*u/g' = 2*21.5/1.635 = 26.3 S


C) Hmax= u^2/(2*g) = 21.5*21.5/(2*9.81) = 23.56 m


D) T = 2*u/g = 2*21.5/9.81 = 4.38 S

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