A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If the cylinder has a mass of 10 kg, what is its rotational kinetic energy? a. 0 J b. 80 J c. 121.6 J d. 41.6 J
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- 7. You are asked to design a turntable that is 55.8 cm in diameter that has a kinetic energy of 0.250 J when it is turning at 45.0 rev/min. a. What must its moment of inertia be? b. If you make the turntable in the shape of a uniform solid disk, what mass would it have?3 1. A uniform solid sphere rolls without slipping down a 28° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr². m/s² E D C 4 22 R F % 5 V T G tv B MacBook Air 22 Y H 7 5 N 00 8 ZA 3 ( 9 K MOSISO O O V P command DUI 04 M optionTwo objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first? A. The sphere, because it gains rotational kinetic energy, but the block does notB. The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does notC. The block, because it does not lose mechanical energy due to friction, but the sphere doesD. The block, because it does not gain rotational kinetic energy, but the sphere does
- If a car tire with a moment of inertia of 4 kg*m² has an initial angular speed of 8 rad/s and then it experiences a net-work of 50 J, what is the final angular speed? O 12.28 rad/sec O9.43 rad/sec O 0.56 rad/sec O 6.24 rad/secA disk of radius R, mass M, and moment of inertia I = (1/2)MR- rolls without slipping down an incline and onto a horizontal table. The disk then continues to the right and goes up a frictionless ramp. The disk starts at rest at a height h above the table, as shown . What is the speed of the center of mass of the disk when it reaches the bottom of the ramp? O A. V1/2gh OB. V5/3gh OC. 4/3 gh OD. 6/7gh O E. None of the aboveA point object with a mass of 150 g can move around a circular track that has a radius of 25 cm. What is the moment of inertia of the object around the center of the track? a. 0.00017 kilogram. meter squared b. 0.00094 kilogram. meter squared c. 0.00038 kilogram. meter squared d. 0.00057 kilogram. meter squared
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