A tunnel is dug along a diameter of the earth. The force on a particle of mass m placed in the tunnel at a distance x from the centre is
Asked by valavanvino1011
1st September 2018,
5:10 PM
Answered by Expert
Answer:
Gravitational force W on a particle of mass m at the point, which is at a distance of x m from centre of earth is given by,
W = m×g' ,
where g' is the acceleration due to gravity at a distance x from centre of earth.
W = m×g' = 
.......................(1)
.......................(1)where M' is mass of inner sphere of earth whose radius is x m.
Let ρ = 
,be the mean density of earth, where M and R are mass and radius of earth respectively.
,be the mean density of earth, where M and R are mass and radius of earth respectively.Mass of inner sphere M' = 
..................(2)
..................(2)By substituting for M' from eqn.(2) in eqn.(1), we get W = 
...............(3)
...............(3)g is acceleration due to gravity on earth's surface
Answered by Expert
2nd September 2018,
12:02 PM
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