### What is the change in length of the rope

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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.

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.

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