Gravitation Tes...

There are two planets. The ratio of radius of the two planets is $$k$$ but ratio of acceleration due to gravity of both planets is $$g$$. What will be the ratio of their escape velocity?

A body of mass $$m$$ is taken from earth's surface to the height equal to the radius of earth, the change in potential energy will be of

A (nonrotating) star collapses onto itself from an initial radius $$R_1$$ with its mass remaining unchanged. Which curves in figure best describes the gravitational acceleration $$a_g$$ on the surface of the star as a function of the radius of the star during the collapse

Suppose a vertical tunnel is dug along the diameter of the earth, assumed to be a sphere of uniform mass density $$\rho$$. If a body of mass $$m$$ is thrown in this tunnel, its acceleration at a distance $$y$$ from the centre is given by:

Suppose, the acceleration due ot gravity at the earth's surface is $$10 m s^{-2}$$ and at the surface of Mars it is $$4.0ms^{-2}$$. A $$60$$kg passenger goes from the Earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of figure bests represents the weight (net gravitational force) of the passenger as a function of time?

The ratio of SI units to CGS units of g is.

Escape velocity for a projectile at earth's surface is $$v_e$$. A body is projected form earth's surface with velocity $$2_{v_e}$$. The velocity of the body when it is at infinite distance from the centre of the earth is 

If the gravitational acceleration at surface of earth is $$ g$$, then increase in potential energy in lifting an object of mass $$m$$ to a height equal to the radius $$R$$ of earth will be.

The density of the core of a planet is $$P_{1} $$ and that of the outer shell is $$P_{2}$$ the radii of the core and that of the planet are $$R$$ and $$2R$$ respectively. The acceleration due to gravity at the surface of the planet is same as at depth $$R$$. Find the ratio of $$\displaystyle \frac{P_{1}}{P_{2}}$$

Suppose, the acceleration due to gravity at the Earth's surface is $$10m s^{-2}$$ and at the surface of Mars it is $$4.0 m s^{-2}$$. A $$60$$ kg passenger goes from the Earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of figure best represents the weight (net gravitational force) of the passenger as a function of time.?