6.1 – Circular motion Questionbank

An ion follows a circular path in a uniform magnetic field. Which single change decreases the radius of the path?

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

A motorcyclist is cornering on a curved race track.

Which combination of changes of banking angle $\theta$ and coefficient of friction $\mu$ between the tyres and road allows the motorcyclist to travel around the corner at greater speed?

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

A mass is suspended by a string from a fixed point. The mass moves with constant speed along a circular path in a horizontal plane.

The resultant force acting on the mass is

A football is kicked with an initial velocity $u$ at an angle $\theta$ to the horizontal and reaches the ground $t$ seconds later.

Ignoring air resistance what is the range $R$ of the football?

Which of the following is a fundamental SI unit?

An object of mass $m$ makes $n$ revolutions per second around a circle of radius $r$ at a constant speed. What is the kinetic energy of the object?

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