Solve the following problems

Q1. A motorcycle is travelling at a constant speed of 72km/h around a circular track of
radius 150m.
a) What is the centripetal acceleration?
b) how long does the cyclist take to complete one full circuit of the track?

Q2. A car of mass 1200kg is rounding a bend of radius 40m at a speed of 20ms^-1. The
coefficient of friction between the road and the tyres is 0.71.
a) Is the car travelling above or below safe speed?
b) what will happen to the cars motion?

Q3. A circus stunt motorcyclist drives around a vertical loop of radius 5m. What is the minimum velocity at the top of the loop?
(Assume that g= 9.8ms-2)

Q4. A car travels over a hump in the road of radius 10m. What is the velocity at which the wheels of
the car leave the ground?

Q5. Find the lift force on a 400kg aeroplane pulling out of an arc - shape dive 500m, at a velocity of
900km/h (assume g =10ms-2).

6. An aeroplane flies in a vertical circular path of radius 200m at a constant speed. The passengers feel weightless just above the floor when the plane is at the top of a circular path.
a) At what speed must the plane be travelling?
b) Explain why the passengers feel weightless.
c) If the plane travelled along the same path with a higher velocity, what would happen to the
passengers?