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A bucket of water with a mass of 8.0 kg is attached to a rope that is wound around a cylinder. The cylinder has a mass of 5.0 kg and is mounted horizontally on frictionless bearings. The bucket is released from rest.
(a) Find its speed after it has fallen through a distance of 0.30 m? _____ m/s
(b) What is the tension in the rope? ______ N
(c) What is the acceleration of the bucket?
A closely wound, circular coil with radius 2.10cm has 830 turns. What must the current in the coil be if the magnetic field at the center of the coil is 5.00×10?2
A 100 kg cannon at rest contains a 10-kg cannon ball. When fired, cannon ball leaved the cannon with a speed of 450 m/s. What is the recoil speed of the cannon.
A molecule of DNA (deoxyribonucleic acid) is 2.28 µm long. Determine the effective spring constant of the molecule
A cylinder with a diameter of 9 microns and a height of 40 microns is composed of Al2O3. Calculate the number of aluminum atoms and the number of oxygen atoms
Cliff and Will support the board at each end so that it is horizontal. A 61 kg boulder is placed on a 2.00 m long board at a point that is x from Cliff. What is the displacement x of the boulder from Cliff
A 3.00kg mass is pushed against a horizontal spring of force constant 23.0N/cm on a frictionless air table. What is the greatest acceleration of the mass
An Olympic skier coasts down a slope with an angle of inclination of 44. What is the acceleration of the skier
Consider a series RLC circuit where R = 35.0 ?, C = 35.5 ?F, Determine the phase angle of the circuit in degrees
A certain dog whistle operates at 22.75 kHz, while another (brand X) operates at an unknown frequency. estimate the operating frequency of brand X
Three capacitors having capacitances of 8.7%u03BCF , 8.7%u03BCF , and 4.1%u03BCF are connected in series across a 31-V potential difference. What is the total energy now stored in the capacitors
A yo-yo has a rotational inertia of 970 g·cm2 and a mass of 104 g. Its axle radius is 3.15 mm, What is the magnitude of its linear acceleration
Two points are given in polar coordinates by (r, 0)=(2.00m, 50.0°) and (r,0)= (5.00m, -50.0°), respectively. What is the distance between them
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