Gravitation Tes...

The mass of the moon is $$1/81$$ of earth's mass and its radius $$1/4$$ that of the earth. If the escape velocity from the earth's surface is $$11.2$$ km/sec. its value from the surface of the moon will be

The gravitational potential difference between the surface of a planet and a point $$20 m$$ above the surface is $$2$$ joule/kgs. If the gravitational field is uniform, then the work done in carrying a $$5$$ kg body to a height of $$4 m$$ above the surface is

In the region of only gravitational fields of mass '$$M$$' a particle is shifted from $$A$$ to $$B$$ via three different paths of length 5m, 10m and 25m. The work done in different paths is $$W_1, W_2, W_3$$ respectively then:

The radius of a planet is $$1/4^{th}$$ of $$R_e$$ and its acc, due to gravity is $$2g$$. What would be the value of escape velocity on the planet, if escape velocity on earth is $$v_e$$

A satellite of mass '$$m$$', moving around the earth in a circular orbit of radius $$R$$, has angular momentum $$L$$. The areal velocity of satellite is :

Consider earth to be a homogeneous sphere. Scientist $$A$$ goes deep down in a mine and scientist $$B$$ goes high up in a balloon. The gravitational field measured by

The amount of work done in lifting a mass '$$m$$' from the surface of the earth to height $$2R$$ is

At what height from the surface of earth will the value of g be reduced by $$36$$% from the value at the surface? $$R = 6400km$$.

The total mechanical energy E possessed by a body of mass 'm',  moving with a velocity 'v' at a height 'h' is given by : $$E\, =\, \displaystyle \frac{1}{2}\, mv^{2}\, +\, mgh.$$ Make 'm' the subject of formula.

The change in potential energy, when a body of mass $$m$$ is raised to a height $$nR$$ from the earth's surface is $$(R=$$ radius of earth$$)$$