GravitationHard
Question
A particle is projected vertically upwards the surface of the earth (radius Re) with a speed equal to one fourth of escape velocity. What is the maximum height attained by it from the surface of the earth ?
Options
A.
B.
C.
D.None of these
Solution
From conservation of mechanical energy
mv2 = 
Where R = maximum distance from centre of the earth Also v =
⇒
m ×
⇒ R =
⇒ h = R - Re = 
Where R = maximum distance from centre of the earth Also v =
⇒
Create a free account to view solution
View Solution FreeMore Gravitation Questions
An astronaut, inside an earth satellite experiences weightlessness because:...Consider two identical metallic spheres of radius $R$ each having charge $Q$ and mass $m$. Their centers have an initial...The atmospheric pressure and height of barometer column is 105 Pa and 760mm respectively on the Earth surface. If the ba...For a satellite to be ego-stationary, which of the following are essential conditions?...Potential energy of a satellite of 6.4 × 106m from the earth centre is...