What is the weight of a body at the centre of the Earth and why?
Weight of a body is the force with which it is attracted towards the centre of earth.
The weight of a body,‘w’ of mass ‘m’ is given by: W =mg
where ‘g’ is the acceleration due to gravity
At the centre of earth, value of g is zero.
Therefore:
Weight of a body at the centre of the earth, w = mg
At the centre of earth, g=0
Weight=m × 0
Weight =0
As the acceleration due to gravity is zero at the centre of earth, weight of a body is zero at the centre of earth.