Q1.A grinding wheel, initially at rest, is rotated with constant angular acceleration of 3.73 rad/s2 for 9.03 s. The wheel is then brought to rest, with uniform deceleration, in 13.6 rev. Find the magnitude of the angular deceleration required to bring wheel to rest.

Response in units of rad/s2.

Q2. A 75-kg water skier is being pulled by a nylon (Young's modulus 3.7 x 109 N/m2) tow rope that is attached to a boat. The unstretched length of rope is 10 m and its cross-section area is 1.7 x 10-5 m2. As the skier moves, a resistive force (due to the water) of magnitude 130 N acts on her; this force is directed opposite to her motion. What is the change in length of the rope whilst the skier has the acceleration whose magnitude is 0.65 m/s2?

Q3. A bumper car with mass m1 = 101 kg is moving to the right with a velocity of v1 = 4.1 m/s. A second bumper car with mass m2 = 95 kg is moving to left with a velocity of v2 = -3.7 m/s. The two cars have an elastic collision. Imagine the surface is frictionless.