List of top Physics Questions on Newtons law of gravitation asked in BITSAT

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?
An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth. The height h of the satellite above the earth’s surface is (Take radius of earth as Rₑ):
Infinite number of masses, each 1kg, are placed along the x-axis at x=±1m, ±2m, ±4m, ±8m, …. The magnitude of the resultant gravitational potential at the origin is:
The acceleration due to gravity on the surface of the moon is (1)/(6) that on earth and the diameter of the moon is one-fourth that of earth. The ratio of escape velocities on earth and moon will be:
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of R?
An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of the escape velocity from the earth. The height \(h\) of the satellite above the earth’s surface is (Take radius of earth as \(R_e\)):
A spherically symmetric gravitational system of particles has a mass density \[ \rho = \begin{cases} \rho_0 & \text{for } r \le R \\ 0 & \text{for } r > R \end{cases} \] where \(\rho_0\) 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 \(r\) \((0 < r < \infty)\) from the centre of the system is represented by:

There is a shell of mass \( M \) and density of the shell is uniform. The work done to take a point mass from point A to B is \( [AB = r] \) 
 

If the radius of the earth were to shrink by one percent, its mass remaining the same, the value of \( g \) on the earth’s surface would:
A man of mass m starts falling towards a planet of mass M and radius R. Inside the planet, which consists of a spherical shell of mass 2M/3 and a point mass M/3 at centre, the change in gravitational force experienced by the man is:
Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity vA/vB is