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Various objects roll without slipping down an incline of vertical height H, all starting from rest at the same moment. The objects are a thin hoop, a spherical marble, a solid cylinder, and an empty soup can. In what order do they reach the bottom of the incline? The sliding box wins. For each we can state MgH=1/2Mv^2+1/2Icm w^2. The hoop has the largest moment of inertia; hence lowest speed and will arrive at the bottom behind the solid cylinder, which in turn will be behind the marble sphere. The empty can has most of its mass concentrated at R; therefore it will be a bit faster than the pure hoop but slower than the solid cylinder. Determine what will be the speed of a solid disk?
An athlete is in an 800 m running sprint race. One lap around the track is 400 m. What is the athlete's average speed during this first lap of the race
Miles Tugo is camping in Glacier National Park. In the midst of a glacier canyon, he makes a loud holler. He hears an echo 1.22 seconds later. How far away are the canyon walls
Consider an RLC circuit with R = 150? , L = 597mH , and C = 0.260?F, At what frequency is this circuit in resonance
The battery charger for an MP3 player contains a step down transformer with a turns ratio of 1:32, What voltage does the secondary coil of the transformer provide
A 25kg child stands on the rim of a 200 kg merry-go-round that has a radius of 3 m. what is the new angular velocity of the merry-go-round
The total energy contained in a closed, sealed, rigid can of tuna is 3000. J with a total entropy of 2.8330 J/K. The ground state total energy, total entropy, and temperature of the system are 100.0 J, 0.0275 J/K, and 20.0°C,
A 6.50 x 104-kgspace probe is traveling at a speed of 13000 m/s through deep space. Retrorockets are firedalong the line of motion to reduce the probe's speed. The retrorockets generate a force of 4.50 x105 N over a distance of 2500 km.
Three point charges are arranged on a line. Charge q3 = +5.00 nC and is at the origin. Charge q2 = -3.50 nC and is at x = 5.00cm . Charge q1 is at x = 2.00cm.
A sign (mass 1900 kg) hangs from the endof a vertical steel girder with a cross-sectional area of0.18 m2. (Ignore the mass ofthe girder itself.) What is the stress within the girder
What is the wavelength of emitted photon of the previous question if k = 10eV/ °A2, where °A denotes Angstrom and eV: electron volt. Is the emitted photon in visible spectrum of a human eye.
over a time interval of 1.83 years the velocity of a planet orbiting a distant star reverses direction changing from
An 75.0-N crate of apples sits at rest on a ramp that runs from the ground to the bed of a truck. The ramp is inclined at 30.0° to the ground. What is the direction of the contact force
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