The International Space Station has a mass of $350$ Tonnes ad orbits the earth at an average height of $340 \mathrm{km}$ Where the gravitational acceleration is $8.8 {\mathrm{ms}}^{-2}$. The radius of the earth is $6400 \mathrm{km}$. Calculate the time taken for each orbit

The International Space Station has a mass of $350$ tonnes ad orbits the earth at an average height of $340 \mathrm{km}$ where the gravitational acceleration is $8.8 {\mathrm{ms}}^{-2}$. The radius of the earth is $6400 \mathrm{km}$. Calculate the number of times it orbits the Earth each day.

An toy truck of mass $0.40 \mathrm{kg}$ travels round a horizontal circular track of radius $0.50\mathrm{m}$. It makes three complete revolutions every $10$ seconds. Calculate its speed

An toy truck of mass $0.40 \mathrm{kg}$ travels round a horizontal circular track of radius $0.50\mathrm{m}$. It makes three complete revolutions every $10$ seconds. Calculate its centripetal acceleration

Mars orbits the Sun once every $687$ days at a distance of $2.3\times {10}^{11}\mathrm{m}$. The mass of Mars is $6.4\times {10}^{23}\mathrm{kg}$ Calculate the average speed in metres per second

Mars orbits the Sun once every $687$ days at a distance of $2.3\times {10}^{11}\mathrm{m}$. The mass of Mars is $6.4\times {10}^{23}\mathrm{kg}$ Calculate its centripetal acceleration.

Explain why it is impossible to whirl a bung around on the end of a string in such a way that the string remains perfectly horizontal.

When ice-dancers spin, as shown in the diagram, the first dancer's hand applies a centripetal force to the second dancer's hand.

In which case is the centripetal force the greatest?

This diagram shows part of the track of a roller-coaster ride in which a truck loops the loop. When the truck is at the position shown, there is no reaction force between the wheels of the truck and the track. The diameter of the loop in the track is $8.0\mathrm{m}$.

Given that the acceleration due to gravity g is 9.8m s^-2, calculate the speed of the truck.