GravitationHard

Question

A particle is projected from point A, that is at a distance 4R from the centre of the Earth, with speed v1 in a direction making 30o with the line joining the centre of the Earth and point A, as shown. Find the speed v1 of particle (in m/s) if particle passes grazing the surface of the earth. Consider gravitational interaction only between these two. (use = 6.4 × 107 m2 / s2)

Options

A.
B.800
C.800 √2
D.None of these

Solution

Conserving angular momentum : m (v1 cos60o) 4R = mv2R ⇒ = 2
Conserving energy of the system : - = -
⇒ v22 - ⇒ ⇒ v1 = m/s

Create a free account to view solution

View Solution Free
Topic: Gravitation·Practice all Gravitation questions

More Gravitation Questions

The atmospheric pressure and height of barometer column is 105 Pa and 760mm respectively on the Earth surface. If the ba...A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a...Two bodies of masses m and M are placed at distance d apart. The gravitational potential (V) at the position where the g...Knowing that the mass of the moon is 1/81 times that of earth and its radius is 1/4the radius of earth. If the escape ve...Which one of the following plots represents the variation of gravitational field on a particle with distancer due to a t...