Suppose that you want to determine the greatest height h at which the pilot coul

Question

Suppose that you want to determine the greatest height h at which the pilot could shut off the engine if the velocity of the lander relative to the surface at that moment is zero Constants The Lunar Module could make a sate landing it its vertical velocity at impact is 2 8 m/s or less. Use conservation of energy to determine h in each case The acceleration due to gravity at the surface of the Moon is 162 m/s Express your answer to two significant figures and include the appropriate units. Valtue Units Submit Part B Suppose that you want to determine the greatest height n at which the plot could shut off the engine if the veioaty of the lander relatwe to the surface at that moment is 19 ms dounward that moment is 19nord Express your änswer to two signiticant figures and inclode the 83 Biol Submit Esnuest Answer Y Part C Suppose that you went to de ne the greatest heignt at which the piot surtace

Explanation / Answer

Given,

Vertical velocity, v = 2.8 m/s

Acceleration due to gravity, g = 1.62 m/s^2

a)

Using following equation,

v^2 = u^2 + 2as

(2.8)^2 = 0 + 2 x 1.62 x s

s = 2.42 m

(b)

Moment is 1.9 m/s downwards

(2.8)^2 = (1.9)2 + 2 x 1.62 x s

7.84 = 3.61 + 3.24 x s

s = 1.31 m

C)

(2.8)^2 = (-1.9)^2 + 2 x 1.62 x s

s = 1.31 m

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