Chapter 12 – Gravitation

A small mass m is moved slowly from the surface of the earth to a height h above the surface. The work done (by an external agent) in doing this is A small mass m is moved slowly from the surface of the earth to a height h above the surface. The work done (by [...]

If the acceleration due to gravity at the surface of the earth is g, the work done in slowly lifting a body of mass m from the earth’s surface to a height R equal to the radius of the earth is If the acceleration due to gravity at the surface of the earth is g [...]

In the previous problem, the minimum speed with which the body must be thrown from the surface of the earth so as to reach a height of R/4 is In the previous problem the minimum speed with which the body must be thrown from the surface of the earth so as to reach a height [...]

The radius of the earth is R and acceleration due to gravity at its surface is ‘g’. If a body of mass ‘m’ is sent to a height of R/4 from the earth’s surface, the potential energy increases by the potential energy increases by The radius of the earth is R and acceleration due to [...]

The mean radius of the earth’s orbit around the sun is 1.5×10^11 m and that of the orbit of mercury is 6×10^10 m. The mercury will revolve around the sun is nearly The mean radius of the earth's orbit around the sun is 1.5×10^11 m and that of the orbit of mercury is 6×10^10 m. [...]

If the distance between the earth and the sun becomes half its present value, then the number of days in one year would have been If the distance between the earth and the sun becomes half its present value then the number of days in one year would have been September 14, 2020 Category: Cengage [...]

The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will be maximum at the point The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of [...]

Figure shows the elliptical path of a planet about the sun. The two shaded parts have equal area. If t1​ and t2​ be the time taken by the planet to go from a to b and from c to d respectively. Figure shows the elliptical path of a planet about the sun. The two shaded [...]

A spherically symmetric gravitational system of particles has a mass density ρ={ρ0​, r≤R0, r>R​ where ρ0​ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance r(0 A spherically symmetric gravitational system of particles has a mass density [...]

The magnitude of the gravitational field at distance r1​ and r2​ from the centre of a uniform sphere of radius R and mass M are F1​ and F2​ respectively. Then The magnitude of the gravitational field at distance r1​ and r2​ from the centre of a uniform sphere of radius R and mass M are [...]