Ten questions. The result tells you which lessons you may skip.
The gravitational potential energy of the Earth and a satellite is \(-8\,\text{GJ}\). The satellite is moved to twice its distance from the Earth's centre. The potential energy becomes
A body of mass \(m\) is lifted from the Earth's surface to a height equal to the Earth's radius \(R\). Its potential energy rises by
Six equal masses are placed at the corners of a hexagon. How many terms does the potential energy of the system have?
A small body is inside a thin hollow shell of mass \(M\) and radius \(R\), away from its centre. The gravitational potential there is
A planet has the same mass as the Earth and a quarter of its radius. The Earth's escape speed is \(11.2\,\text{km/s}\). The planet's escape speed is
Satellite B circles the Earth at four times the orbit radius of satellite A. The period of B is
A geostationary satellite must
A satellite on a circular orbit has a kinetic energy of \(5\,\text{GJ}\). Its total energy is
A comet moves at \(40\,\text{km/s}\) at its nearest point, \(1\,\text{AU}\) from the Sun. Its farthest point is \(8\,\text{AU}\) from the Sun. Its speed there is
In a binary star, star A has three times the mass of star B. Compared with B, star A moves on