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` ?

Motor cylist rides in the verticle circle in 'well of death' sphere of radius 9m. What will be speed required so that he does not lose contact at the highest point?

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 jeep moving at a speed of 50 km/hr reaches the foot of smooth incline where its engine is switched off. How much distance does the jeep go up the incline before coming to rest ? The inclination of the plane to the horizontal is 45^@ and the acceleration due to gravity at the place is 9.8m/s^2

A figher plane flying horizontal at an altitude of 1.5 km with a speed of 720 km/h passed directly overhead an anti-aircraft gun. At what angle from the vertical shoud the gum be fired for the shell with muzzle velocity of 600 m/s to hit the plane ? At what minimum altitude should the pilot fly to avoid being hit ? g= 9.8 m/ s^2

A cricket ball is rolled on ice with a velocity of 5.6 m/s and comes to rest after travelling 8 m. Find the coefficient of friction Given g=9.8m//s^2 .