A particle weighs 120 N on the surface of the earth. At what height above the earth’s surface, will its weight be 30 N ? Radius of the earth = 6400 km.
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duragpalsingh
duragpalsingh
28.09.2017
Physics
Secondary School
+5 pts
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A particle weighs 120 N on the surface of the earth. At what height above the earth's surface will its weight be 30 N? Radius of the earth = 6,400 km.
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Hello
we know
g = GM/r² ----- (1)
If the body taken to the height above earth surface
g = GM/( r + h)² ----(2)
Dividing (2) by (1)
we get ,
1/4 = r²/(r+h)²
Taking square roots on both sides
1/2= r/(r+h)
r + h = 2 r
h = r
h = 6400 k m
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