A planet of radius R has an acceleration due to gravity of ๐‘”_๐‘  on its surface . A deep smooth tunnel is dug on this planet , radially inward , to reach a point P located at a distance of ๐‘…/2 from the centre of the planet . Assume that the planet has uniform density . the kinetic energy required to be given to a small body of mass m , projected radially outward from P , sop that it gains a maximum altitude equal to the thrice the radius of the planet from its surface is equal to 63/16m๐‘”_๐‘ R 3/8m๐‘”_๐‘ R 9/8m๐‘”_๐‘ R 21/8m๐‘”_๐‘ R

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