A solid brass sphere of mass is lowered into a mine shaft to a depth equal to of the…

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A solid brass sphere of mass

5.0\,\text{kg}

is lowered into a mine shaft to a depth equal to

1\%

of the Earth’s radius. (i) Calculate the value of

g

at this depth, taking

g = 9.80\,\text{m s}^{-2}

at the surface and Earth’s radius

R = 6.4 \times 10^{6}\,\text{m}

. (ii) Determine the weight of the sphere at this depth. (iii) Find the percentage decrease in weight compared with its weight at the surface.