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Part A At what height above Earth\'s surface is the gravitational acceleration r

ID: 2250597 • Letter: P

Question

Part A At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 0.60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part B At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 6.0%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part C At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part A At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 0.60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part A At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 0.60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up   h =   h = SubmitMy AnswersGive Up Part B At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 6.0%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part B At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 6.0%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up   h =   h = SubmitMy AnswersGive Up Part C At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up Part C At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 60%? Express your answer to two significant figures and include the appropriate units.   h = SubmitMy AnswersGive Up   h =   h = SubmitMy AnswersGive Up   h =

Explanation / Answer

part A

the gravitational acceleration is

g = (GM/R^2) -----------(1)

where G = 6.67 x 10^-11 Nm^2/kg^2,M = 5.98 x 10^24 kg and R = 6400 km = 6400 x 10^3 m

when a = g x (0.60/100) then

a = (GM/(R + h)^2) -----------(2)

(2)/(1) gives

(a/g) = (R/R + h)^2

or (R/R + h) = (a/g)^1/2

solving the above equation for h

part B

when a1 = g x (6.0/100) then

(R/R + h1) = (a1/g)^1/2

solving the above equation for h1

part C

when a2 = g x (60/100) then

(R/R + h2) = (a2/g)^1/2

solving the above equation for h2

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