1.

Calculate the acceleration due to gravity 1. at a height 16km above Earth’s surface and 2. at a depth 2.8km below the surface of the earth. (Radius of the earth is 6400 km and acceleration due to gravity on the surface of the earth = 9.8m/s-2).

Answer»

1. Acceleration due to gravity, 

g = 9.8ms-2 , Height h = 16 × 103m Radius of the earth, 

R = 6400 × 103 m From the equation g1 = g \((\frac {R}{R+h})^2\)

= 9.8 \((\frac {6400 \times 10^3}{6400 \times 10^3 + 16 \times 10^3})\)

= 9.75 ms-2

2. depth, h = 2.8 × 103m

From the equation g1 = g \([1-\frac {h}{R}]\)

= 9.8 \([1-\frac {2.8 \times 10^3}{6400 \times10^3}]\)

= 9.796 ms-2



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