Assuming the earth to be a sphere of uniform mass density, how much would a body weigh halfway down to the centre of the earth if it weighed 250 N on the surface?
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=Re/2 Acceleration due to gravity at depth g(d) is given by the relation: g′=(1−Red)g g′=(1−2ReRe)g =g/2 Weight of the body at depth d, W′=mg′ =mg/2=W/2 =125 N
