Does Archimedes' principle hold in a vessel in free fall or in a satellite moving in a circular orbit

How does the orbital velocity of a satellite depend on the mass of the satellite?

If r represents the radius of the orbit of a satellite of mass m moving round a planet of mass M, the velocity of the satellite is given by :

Two satellite of masses (m_1 and m_2 (m_1 > m_2) are revolving round the earth in circular orbit of radii r_1and r_2 (r_2 > r_2) respectively. Which of the following statements is true regarding their speeds v_1 and v_2

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate, its speed if it takes 24 hours to revolve around the earth.

Electron moving at right angle to a uniform magnetic field complete a circular orbit of 10^(-2) m radius in 10^-10s . What is the magnitude of magnetic field.

The earth moving round the sun in circular orbit is acted upon by a force and hence work must be done on the earth by the force. Explain.

An electron is moving round the nucleus of a H_2 atom in a circular orbit of radius r. The coulomb force F between the two is

In an orbit of radius R, an electron is moving round a proton with unifrom circular velocity. Derive the guyromagnetic ratio of electron of Charge (-e) and mass (m_e) . What is Bohr magneton?

An artificial satellite orbiting the' earth does not fall down because the earth’s attraction