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 = 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 = 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 = 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 = 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 = h = h = 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 = 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 = h = h = 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 = 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 = h = h = 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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