Gravitation

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions, $A,B$ and $C$ are $K_{A},K_{B}andK_{C}$, respectively. $AC$ is the major axis and $SB$ is perpendicular to $AC$ at the position of the…

Kepler's third law states that the square of the period of revolution $\text{(T)}$ of a planet around the sun is proportional to the third power of the average distance $\text{r}$ between sun and planet i.e.,…

The acceleration due to gravity at a height $1 km$ above the earth is the same as at a depth $d$ below the surface of earth. Then

Match List$-I$(Event) with List$-\mathrm{II}$(Order of the time interval for the happening of the event) and select the correct option from the options given below the lists. List-I List-II $(a)$ The rotation period of…

A body of mass 60 g experiences a gravitational force of 3.0 N, when placed at a particular point. The magnitude of the gravitational field intensity at that point is

A particle of mass m is projected with a velocity v=kVe (k<1) from the surface of the earth (Ve= escape velocity). The maximum height above the surface reached by the particle is___

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth is:

A body weighs 72 N on the surface of the earth. What is the gravitational force on it, at a height equal to half the radius of the earth?

Starting from the center of the earth having radius, \$R$, the variation of \$g$ (acceleration due to gravity) is shown by

A remote-sensing satellite of earth revolves in a circular orbit at a height of \$0.25\times10^{6}$ m above the surface of earth. If earth's radius is \$6.38\times10^{6}m$ and \$g=9.8ms^{-2}$, then the orbital speed of…

At what height from the surface of earth the gravitation potential and the value of g are \$-5.4\times10^{7}Jkg^{-2}$ and \$6.0ms^{-2}$ respectively? Take the radius of earth as \$6400 km$:

The ratio of escape velocity at earth $\upsilon$e to the escape velocity at a planet $\upsilon$p whose radius and mean density are twice as that of earth is: