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Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass of 3.74 kg and rotate with the same angular speed of 457 rad/s, but they differ in radius. What is the rotational kinetic energy of
(a)the smaller cylinder, of radius 0.358 m, and
(b) the larger cylinder, of radius 0.805 m?
Kelli weighs 417 N, and she is sitting on a playground swing that hangs 0.44 m above the ground. Her mom pulls the swing back and releases it when the seat is 1.00 m above the ground. Imagine that air resistance is negligible.
A wooden cylinder of length 2.0m and cross section 78cm^2 is suspended in vertical positionwith a string of length 2.5m. Find the linear density of the string
A person does 100 joules of work of pulling back the string of the bow. What will be the original speed of a 0.5 killogram arrow when it's fired from the bow.
A ranger in a national park is driving at 59 km/h while a deer jumps onto the road 61 m ahead of the vehicle. After a reaction time of t s, ranger applies the brakes to produce an acceleration of -3 m/s2. What is the maximum reaction time allowed if ..
A runner is practicing on a circular track that is 535 m in circumference. From the point farthest to the east on the track, he starts off running due south and follows the track as it curves around toward the west.
A plastic bag is filled with nitrogen at atmospheric pressure and 27.0 oC. If hot air is used instead of nitrogen, what is the required volume of the balloon if the air inside can be maintained at 39.0 oC
A 3.1-cm-tall object is 47 cm in front of a converging lens that has a 11.8 cm focal length. Calculate the image position and height. position cm height cm.
The altitude of a hang glider is increasing at a rate of 6.80 m/s. At the same time, the shadow of the glider moves along the ground at a speed of 15.5 m/s when the sun is directly overhead. Calculate the magnitude of the glider’s velocity.
A 392\({\rm g}\) oscillator has a speed of 90.5\({\rm cm/s}\) when its displacement is 3.90\({\rm cm}\)and 74.5\({\rm cm/s}\), What is the oscillator's maximum speed
A ball of mass 0.240 grams and positive charge, q =39.3 microC, is suspended on a string of negligible mass in a uniform electric field. We observe that ball hangs at an angle of theta =15.0 o from the vertical. What is the magnitude of electric f..
A concave makeup mirror is designed so that a person 26 cm in front of it sees an upright image magnified by a factor of two
Two grapes are given equal charges and held apart at a distance of 2.0 m. Find the magnitude of the charge on each grape
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