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1.) Two paint buckets are connected by a lightweight rope passing over a pulley of negligible mass and friction.
a.) As shown in the figure above, the system is released from rest with the 12kg bucket 2m above the floor. Use energy conservation to find the speed with which this bucket strikes the floor.
b.) Suppose the pulley had appreciable mass, such that its moment of inertia = 3kgm^2 but has no friction. Find the speed with which this bucket strikes the floor in this case.
a fan is turned off and its angular speed decreases from 8.5 rad/s to 5 rad/s in 5.0s. what is the angular displacement of the fan
An electron and a proton are a distance r = 7.7 x 10-9 m apart. How much energy is required to increase their separation by a factor of four
In an oscillating LC circuit in which C = 850 mF, the maximum potential difference across the capacitor during the oscillations is 12.8 Volt and the maximum current through the inductor is 150 mA. Determine the frequency of the oscillations
A playground merry-go-round of radius R = 2 m has a moment of inertia I = 275 kg•m2 and is rotating at 14 rev/min about a frictionless vertical axle.
A sled of mass 4.45 kg is coasting along on a frictionless ice-covered lake at a constant speed of 1.31 m/s. At what speed does the sled move once the book is on it
When a 58-g tennis ball is served, it accelerates from rest to a speed of 45 m/s. What is the magnitude of the net force acting on the ball
The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. If a rock weighs 75.0N on earth, what would it weigh at the surface of Venus
A block whose mass m is 680 kg is fastened to a spring whosespring constant k is 65 N/m. What is the maximum speed of the oscillating block
For the circuit shown in the following figure both meters are idealized, the battery has no appreciable internal resistance, and the ammeter reads 1.19 A. What does the voltmeter read
In 2.8 days the number of radioactive nuclei decreases to one-eighth the number present initially
The 1900-turn coil in a dc motor has an area per turn of 1.1 10-2 m2. The design for the motor specifies that the magnitude of the maximum torque is 5.8 N · m, What is the current in the coil
A light spring with spring constant 1200 N/m hangs from an elevated support. From its lower end hangs a second light spring, which has spring constant 1650 N/m. An object of mass 1.50 kg is hung at rest from the lower end of the second spring.
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