A 75 kg woman stands on the edge of a horizontal turntable. The moment of inertia of the turntable is 750 kg.m2 and the radius is 3.5 m. The turntable, which is initially stationary, can rotate freely about the frictionless vertical axis passing through its center. The woman starts walking clockwise (when viewed from above) along the edge of the table at a constant speed of 0.50 m/s with respect to the ground. How much work did the woman do to make herself and the turntable movable? A) 99.90 J B) 20.86 J C) 64.00 J D) 43.65 J E) 65.40 J

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A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second

A marching band is performing a routine in which all players form a line that rotates about the center player C. The players complete one full 360 degrees rotation in one minute and are always in a line. Of players A and B, which player has the greater linear speed v and which player has the greater angular speed w A. Player A has a greater linear speed v, but they have the same angular speed w. B.Player B has a greater angular speed w, but they have the same linear speed v. C.Player A has a greater angular speed w, but they have the same linear speed v. D.Player B has a greater linear speed v, but they have the same angular speed w

A tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground. Treat the ball as a thin-walled spherical shell, and determine the range x. Number i eTextbook and Media Save for Later 12 W S #3 1.8 m 135 Units Attempts: 0 of 3 used Submit Answer APR 2 tv I all A 80 F3 a F4 E $ 14 95 F5 MacBook Air % 50 6 C F6 27 & < F7 R T Y U D F G H * 00 8 DII F8 D F9 ( 9 O A F10 F11 t O { P [ J K L X C V B N M H command ? H command option

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*31. C At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.3 m above the water. One diver runs off the edge of the cliff, tucks into a “ball," and rotates on the way down with an average angular speed of 1.6 rev/s. Ignore air resistance and determine the number of revolutions she makes while on the way down.

1. The propeller of a World War II fighter plane is 2.2 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev / min? W= rad/s (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac g

1. The horizontal circular platform weighs 500 lb and has a radius of gyration of kz = 8 ft from the z-axis passing through O. The platform is free to rotate about the z-axis and is initially at rest. A person having a weight of 150 lb begins to run along the edge in a circular path of radius 10 ft. If they maintain a speed of 4 ft/s relative to the platform, determine the angular velocity of the 10 ft platform. Neglect friction. I don't think we have dealt with relative velocity in this context, but it follows our earlier relative velocity treatment. Here all speeds are in the t-direction. vp is the speed of the person, and vp is the speed of the disk at the location of the person. Then vp = vp + Vp/D, same as before. You are given vpp = 4 ft/s.

A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches?   - 0.4 meters  - 0.5 meters - 0.6 meters - 1.3 meters