Question 403: Gravitation

Question

The acceleration due to gravity at a height at a height 1 km above the rearth is the same as at a depth d below the surface of earth. Then

Accepted Answer

Above earth surface
$${g_h} = g\left( {1 - {{2h} \over {{R_e}}}} \right)$$
Below earth surface
$${g_d} = g\left( {1 - {d \over {{R_e}}}} \right)$$
According to question, g
h
= g
d
$$g\left( {1 - {{2h} \over {{R_e}}}} \right)$$ = $$g\left( {1 - {d \over {{R_e}}}} \right)$$
Clearly, d = 2h  = 2 km

Answer

d = 1 km

Answer

d = $${3 \over 2}$$ km

Answer

d = 2 km

Answer

d = $${1 \over 2}$$ km

Gravitation

The acceleration due to gravity at a height at a height 1 km above the rearth is the same as at a depth d below the surface of earth. Then

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