6.2 – Newton’s law of gravitation Questionbank

A projectile is fired from level ground with speed $v$ at an angle $heta$ to the ground. Ignoring air resistance, which of the following is a correct expression for the maximum height reached by the projectile?

A stone is thrown at an angle to the horizontal. Ignoring air resistance, the horizontal component of the initial velocity of the stone determines the value of

Two satellites of equal mass, $\mathrm{S}_{1}$ and $\mathrm{S}_{2}$, orbit the Earth. $\mathrm{S}_{1}$ is orbiting at a distance $r$ from the Earth's centre at speed $v . \mathrm{S}_{2}$ orbits at a distance $2 r$ from the Earth's centre at speed $\frac{v}{\sqrt{2}}$. The ratio of the centripetal force on $\mathrm{S}_{1}$ to the centripetal force on $\mathrm{S}_{2}$ is

Two isolated spheres of masses $M$ and $m$ are held a distance $d$ apart, as shown below.

Mass $M$ is greater than mass $m$.

The gravitational field strength $g$ is measured on a line between the two masses. Which graph best shows the variation with distance $x$ from the larger sphere of the magnitude of the field strength $g$ ? The Earth's gravitational field is to be ignored.

A satellite orbits the Earth as shown below.

In the table below, which row gives the correct sign for the satellite's potential and kinetic energies?

What is the correct definition of gravitational field strength?

Two spherical objects of mass $M$ are held a small distance apart. The radius of each object is $r$.

Point $P$ is the midpoint between the objects and is a distance $R$ from the surface of each object. What is the gravitational potential at point P ?

Two satellites, $X$ and $Y$, move in circular orbits about the Earth. The orbital period of satellite $X$ is eight times that of satellite Y.

The ratio $\frac{\text{ orbital radius of satellite } \mathrm{X}}{\text{ orbital radius of satellite } \mathrm{Y}}$ is

The masses and weights of different objects are independently measured. The graph is a plot of weight versus mass that includes error bars.

These experimental results suggest that