GravitationEasy
Question
The escape velocity for a planet is ve. A tunnel is dug along the diameter of the planet and a small body is dropped into it from the surface. when the body reaches the centre of the planet, its speed will be-
Options
A.Ve
B.
C.√2 Ve
D.
Solution
Apply energy conser vation
T.E. at centre = T.E. at surface
mv2 - 
mv2 = 
or v =
T.E. at centre = T.E. at surface
or v =
Create a free account to view solution
View Solution FreeMore Gravitation Questions
A double star is a system of two stars of masses m and 2m, rotating about their centre of mass only under their mutual g...The radii of circular orbits of two satellites A and B of the earth are 4R and R, respectively. If the speed of satellit...A mass 6 × 1024 kg ( = mass of earth) is to be compressed in a sphere in such a way that the escape velocity from i...Average density of the earth...If the gravitational force were to vary inversely-as mth power of the distance, then the time period of a planet in circ...