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

ID: 1397161 • Letter: P

Question

Part A

At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 0.40%?

Express your answer to two significant figures and include the appropriate units.

Part B

At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 4.0%?

Express your answer to two significant figures and include the appropriate units.

Part C

At what height above Earth's surface is the gravitational acceleration reduced from its sea-level value by 40%?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

part 1 ) We know that at sea level = 6400 km from the earth's centre

sea level value would be = 0.6

let x be the distance from the centre

(6400/x)^2= 0.6

6400/x=0.77460

we get the value of x = 8262 km

8262km - 6400 km = 1862 km from earth's surface.

repeat this process for part b ) and part c )

part b ) -----sea level value would be = 0.66

we get the value of x = 7877 km

7877km - 6400 km = 1477 km from earth's surface.

part c ) ----sea level value would be = 0.666

we get the value of x = 7843 km

7843km - 6400 km = 1443 km from earth's surface.

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