A circular track of radius 600m is to be designed for cars moving at an average speed of 180km/hr. what should be the angle of banking of track. Take g = 10`m/sec^2`.

A cyclist goes round a circular track of radius 20sqrt3 m at a speed of 14 m/s. What is the inclination to the vertical ?

A railway carriage of mass 10 kg is moving with a speed of 45 km/hr on a circular track of radius 400m. If the rails are 1.5m apart, find by how much the outer rail should be raised over the inner rail so that there is no side thrust on the rails.

A cyclist goes round a circular track of radius 20sqrt3 m at a speed of 24sqrt3 ms^(-1) . What is the inclination to the vertical ?

A car is moving on a circular track of diameter 72m with a speed of 6 m/s.It is accelerated at the rate of root3 m/s2.If the mass of the car is 1000 kg, Find the net force acting on the car.

A car moves a distance of 200m. It covers the first half of the distance at a speed of 40km//h and the second half of the distance at speed v. The average speed is 48km//h . Find the value of v.

A motor cyclist wants to show a feat by going round on a verticle plane inside a spherical cage of radius 5m. What should be the minimum speed to avoid fall, if g is 9.8 m/s^2 ?

A breaker of circular cross section of radius 4cm is filled with mercury up to a height of 10cm . Find the force exerted by the mercury on the bottom of the beaker . The atmosphere pressure = 10Nm^-2 . Density of mercury =13600kg m^-3 , Take g= 10m/s^2 .