One end of a string is secured to the ceiling and a metal ball of mass $50 \mathrm{g}$ is tied to its other end. The ball is initially at rest in the vertical position. The ball is raised through a vertical height of $70 \mathrm{cm}$, as shown. The ball is then released. It describes a circular arc as it passes through the vertical position.

The length of the string is $1.50 \mathrm{m}$. Calculate the tension Tin the string when the string is vertical.

One end of a string is secured to the ceiling and a metal ball of mass $50 \mathrm{g}$ is tied to its other end. The ball is initially at rest in the vertical position. The ball is raised through a vertical height of $70 \mathrm{cm}$, as shown. The ball is then released. It describes a circular arc as it passes through the vertical position.

The length of the string is $1.50 \mathrm{m}$. Explain why your answer to b is not equal to the weight of the ball.

A car is travelling round a bend when it hits a patch of oil. The car slides off the road onto the grass verge. Explain, using your understanding of circular motion, why the car came off the road.

This diagram shows an aeroplane banking to make a horizontal tum. The aeroplane is travelling at a speed of $75 {\mathrm{ms}}^{-1}$ and the radius of the turning circle is $800 \mathrm{m}$.

Copy the diagram. On your copy, draw and label the forces acting on the aeroplane.

This diagram shows an aeroplane banking to make a horizontal tum. The aeroplane is travelling at a speed of $75 {\mathrm{ms}}^{-1}$ and the radius of the turning circle is $800 \mathrm{m}$.

Calculate the angle that the aeroplane makes with the horizontal.

Explain what is meant by the term angular speed.

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the tension in the string.

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the angular speed of the bung

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the time it takes to make one complete revolution