Physics Gravitation

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

Gravitational force between two point masses is found to be F when both are in vacuum. If both the masses are immersed in water, new gravitational force will be:

Determine the 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 3R.

Suppose the gravitational force varies inversely as the $n^{th}$  power of distance. Then, time period of a planet in circular orbit of radius R around the sum will be proportional to

Consider the following two statements .

<!-- [if !supportLists]-->(A)<!--[endif]-->The gravitational force on a particle inside a spherical shell is zero.

<!-- [if !supportLists]-->(B) <!--[endif]-->Total mechanical energy of a body on earth’s surface may be positive.

Which of the following options is correct?

The potential energy of a body of mass 3 kg on the surface of a planet is 54 joule. The escape velocity will be

Two artificial satellites of masses  $m_1$ and $m_2$ are moving with speeds $v_1$ and $v_2$ in orbits of radii $r_1$ and $r_2$ , respectively. If r₁>r₂ then which of the following statements is true

Determine the 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 3R

Suppose the gravitational force varies inversely as the $n^{th}$ power of distance. Then, time period of a planet in circular orbit of radius R around the sum will be proportional to

A particle moves in a circular orbit of radius r under a central attractive force F = $-\frac{k}{r},$ <!-- [if gte mso 9]><xml> </xml><![endif]--> k is constant. The time period of its motion is proportional to