Dynamics of Uniform Circular Motion - Centripetal Force

A car of mass 1500Kg rounds a curve of radius 250m at 90 Km/hour. Calculate the centripetal force acting on it.

A racing car completes 5 rounds of a circular track in 2 minutes. Find the radius of the track
if the car has uniform centripetal acceleration of Π² m/s².

Explain the concept of centripetal force.

A person applies constant force \[\overrightarrow{\text{F}}\]on a particle of mass m and finds that the particle moves in a circle of radius r with a uniform speed v as seen from an inertial frame of reference. 

(a) This is not possible.
(b) There are other forces on the particle.
(c) The resultant of the other forces is \[\frac{\text{mv}^2}{\text{r}}\] towards the centre.

d) The resultant of the other forces varies in magnitude as well as in direction

After a good meal at a party you wash your hands and find that you have forgotten to bring your handkerchief. You shake your hand vigorously to remove the water as much as you can. Why is water removed in this process?

A particle of mass m is observed from an inertial frame of reference and is found to move in a circle of radius r with a uniform speed v. The centrifugal force on it is 

A small coin is placed on a record rotating at \[33\frac{1}{3}\] rev/minute. The coin does not slip on the record. Where does it get the required centripetal force from ?

A heavy mass m is hanging from a string in equilibrium without breaking it. When this same mass is set into oscillation, the string breaks. Explain.