NUMERICALS

A ball is fixed at the end of the road and revolved in a horizontal circle of radius $5 \mathrm{m}$ with a speed of $10 {\mathrm{ms}}^{-1}$. Calculate the acceleration of the ball

A ball is fixed at the end of the road and revolved in a horizontal circle of radius $5 \mathrm{m}$ with a speed of $10 {\mathrm{ms}}^{-1}$ Calculate the acceleration of the ball if the ball is revolved in a circle in a vertical plane.

A ball of mass $0.3 kg$is tied at the one end of a string $0.8 m$long and revolved in a vertical circle. At what speed of the ball, the tension in the string is zero at the highest point of the circle? What will be the tension in the string at the lowest point of the circle in this situation?

A stone is tied at one end of a weightless string and revolved in a vertical circle of radius $5\mathrm{m}$. What will be the minimum speed of the stone at the highest point so that the string does not slack?

A stone is tied at one end of a weightless string and revolved in a vertical circle of radius $5\mathrm{m}$.  What should be the speed of the stone at the lowest point in this situation?

A bucket full of water is tied with a rope of $1.6 \mathrm{m}$ long and revolved in a vertical circle. What will be the speed of the bucket at the highest point so that the water may not fall.

A train is moving with the speed of $72 \mathrm{km}/\mathrm{hr}$ on a curved railway track of  $400 \mathrm{m}$ radius..A spring balance is loaded with a block of $5 \mathrm{kg}$ is suspended from the ceiling of the train. What would be the reading on the balance?

A train is moving with the speed of $72 \mathrm{km}/\mathrm{hr}$  on a curved railway track of $400 \mathrm{m}$ radius. A spring balance is loaded with a block of $5 \mathrm{kg}$ is suspended from the of the train. What would be the reading on the balance?

 If the spring balance makes an angle of $10°$ with the vertical, then what is the centripetal acceleration on the train ($\tan 10°=0.176$)