A stone of mass $0.20 \mathrm{kg}$ is whirled round on the end of a string in a vertical circle of radius $30 \mathrm{cm}$. The string will break when the tension in it exceeds $8.0 \mathrm{N}$. Calculate the maximum speed at which the stone can be whirled without the string breaking.

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 centripetal force on the space station.

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 speed at which it orbits

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

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 the centripetal force.

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