Question

assuming the earth to be a sphere of uniform mass density how much would a body weight 800 Km below the surface g the earth if it weight 360 N on the surface given that radius of earth R = 6400 Km
​

Answer 1

Answer:

Weight of a body of mass m at the Earth's surface,W=mg=250 N

Body of mass m is located at depth, d=R

e

/2

Acceleration due to gravity at depth g(d) is given by the relation:

g

′

=(1−

R

e

d

)g

g

′

=(1−

2R

e

R

e

)g

=g/2

Weight of the body at depth d,

W

′

=mg

′

=mg/2=W/2

=125 N