Q1. For an ideal Atwood machine has a massless pulley of radius 10 cm which moves without friction and has masses of 2 kg and 3 kg hanging from the pulley by a massless string, what would be the acceleration of the 3 kg mass?
Q2. A tennis player standing 12.8 m from the net hits the ball at 3.32° above the horizontal. To clear the net, the ball must rise at least 0.370 m. If the ball just clears the net at the apex of its trajectory, how fast was the ball moving when it left the racquet?
Q3. A car is on a circular track of radius r = 120 m. It accelerates from rest to a speed of 20 m/s in 8 seconds with constant acceleration. At the end of 8 seconds the car is next to a marker in the track.
a) Find ratio of the tangential acceleration to the centripetal acceleration as the car reaches the marker.
b) Find minimum coefficient of friction between the tires and the track's pavement so that the car does not go out of the track at the marker.
c) At the marker the tires are rolling without slipping. The radius of the tires is 0.25m. Find an angular velocity of the tire at the marker. Find also the linear speed of the point of contact of the tire with the pavement at the marker.