A 575-gram basketball with a radius of 10.5 cm is a uniform hollow sphere that rolls withoutslipping along a horizontal surface of a floor such that the translational speed of the center ofmass is 3.50 m/s. (a) What is the moment of inertia of the basketball? (b) What is the angularspeed about the center of mass of the basketball as it rolls along the floor? (c) The basketballthen reaches an incline that makes an angle of 30.0° above the horizontal. If we ignore anyenergy losses due to dissipative forces, then to what maximum vertical height above the floorwill the basketball reach? Include a diagram of the situation.

Answered: A 575-gram basketball with a radius of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The angular momentum of a flywheel having a rotational inertia of 0.657 kg-m² about its central axis decreases from 9.80 to 0.450 kg-m2/s in 2.20 s. (a) What is the magnitude of the average torque acting on the flywheel about its central axis during this period? (b) Assuming a constant angular acceleration, through what angle does the flywheel turn? (c) How much work is done on the wheel? (d) What is the magnitude of the average power done on the flywheel? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units
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A hula hoop (which can be modeled as a solid hoop) rolls without slipping across the floor. Observing the motion of its center of mass, you find that it has a translational kinetic energy of 2.42 J. What is its rotational kinetic energy (in Joules) about an axis passing through its center of mass?
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A space craft may be modeled as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67 ngedalla par pplica meters. (a) What is the moment of inertia of the spacecraft? (b) Two rocket engines on opposite sides of the craft each apply an identical tangential force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in radians per second? (c) What is the angular acceleration of the craft over the period of uniform angular ac- celeration? (d) What net torque is needed to achieve the angular acceleration in part (c)? (e) What force is applied by each rocket engine during the period of uniform angular accel- eration?
The angular momentum of a flywheel having a rotational inertia of 0.983 kg-m2 about its central axis decreases from 3.40 to 0.970 kg-m²/s in 1.70 s. (a) What is the magnitude of the average torque acting on the flywheel about its central axis during this period? (b) Assuming a constant angular acceleration, through what angle does the flywheel turn? (c) How much work is done on the wheel? (d) What is the magnitude of the average power done on the flywheel? (a) Number i Units (b) Number i Units (c) Number Units (d) Number i Units >

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