A torque of 170 N.m does 4602 J of work on a rotating flywheel. If the flywheels initial kinetic energy is 1289 J, what is its final kinetic energy? Report your answer in 4 significant figures

The rigid body shown in the figure consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.41 kg, a = 35 cm, and b = 53 cm, how much work is required to take the body from rest to an angular speed of 5.8 rad/s? M 2M Number Units J

A hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R, roll down a hill of height h. b. Rank the objects based on their rotational kinetic energy at the bottom of the hill. Rank the one with the most energy 1, etc. If two are equal, give them the same ranking. hoop___________ disk_______________sphere_______________Justify your ranking.

The radius of a wheel is 0.890 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. (a) How much rope unwinds while the wheel makes 1.00 revolution? ___m (b) How much work is done by the rope on the wheel during 1.00 revolution? ___J (c) What is the torque on the wheel about its axis due to the rope? ____N⋅m

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 340-mile trip in a typical midsize car produces about 4.31 x 10 J of energy. How fast would a 34.8-kg flywheel with a radius of 0.577 m have to rotate to store this much energy? Give your answer in rev/min.

A bowler uses a lane with a coefficient of kinetic friction of 0.156. The bowler releases her 5.30 kg bowling ball with a translational speed of 3.45 m/s. At the moment of release, the ball is not rotating. As the ball slides, it begins to rotate. What is the work ?ncWnc done by friction on the ball before it transitions to rolling without slipping? Use g=9.81 m/s2 for the acceleration due to gravity.

A uniform solid cylinder is initially at rest at the top of a ramp of height 1.5 m. If the cylinder rolls down this ramp without slipping, what will be its speed at the bottom? Why don't you need to consider the work done by friction? Explain your reasoning in detail.

A constant torque of 3.4 N.m is applied to an object , which undergoes 28 revolutions. Calculate the work done in Joules, with a single digit precison. Your Answer: Answer

A clay cylinder of radius 21 cm on a potter's wheel spins at a constant rate of 15 rev/s. The potter applies a normal force of 15.3 N to the clay with his hands where the coefficient of friction is 0.1 between his hands and the clay. What is the power (in W) that the potter has to deliver to the wheel to keep it rotating at this constant rate?

A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have if it had  Column A 1. twice the mass and was moving at the same speed?: twice the mass and was moving at the same speed?   2. the same mass and was moving with twice the speed?: the same mass and was moving with twice the speed? 3. one-half the mass and was moving with the same speed?: one-half the mass and was moving with the same speed? 4. the same mass and was moving with one-half the speed?: the same mass and was moving with one-half the speed? Column B a.31 J b.248 J c.496 J d.62 J