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Derive Lagrange's equation of motion for a uniform thin dizk that rolls without slipping on a horizontal plane under the influence of a horizontal force applied at its center. Determine the generalized force.
The highest theoretical efficiency of a gasoline engine, based on the Carnot cycle, is 0.300 or 30.0%. If the heat engine absorbs 812 J of energy from the hot reservoir during each cycle, how much work can it perform in each cycle
In the circuit shown, the AC voltage source supplies an rms voltage of 157 V at frequency f. The circuit has R = 96 %u03A9, XL = 215 %u03A9, and XC =99 %u03A9. Find the rms current flowing in the circuit
calculate the final pressure of a sample of water vapour that expands reversibly and adiabatically from 87.3 Torr and 500 cm^3 to a final volume of 3.0dm^3.Take gamma=1.3
A 200 g calorimeter contain 500 g of water at 21 degree Celsius. A 100g of ice at -20 degree Celsius is placed into the calorimeter. find the specific heat of the material of the calorimeter
The greatest ocean depths on the Earth are found in the Marianas Trench near the Philippines. Calculate the pressure due to the ocean at the bottom of this trench
A 30-caliber rifle with a mass of 2.84 kg fires a 9.73- g bullet with a speed of 556 m/s with respect to the ground. What kinetic energy is released by the explosion of the gunpowder
In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is h. What was the direction of the mug's velocity just before it hit the floor
One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates at a frequency 112 Hz. What is the speed of a transverse wave on the rope
Three resistors {R1 = 12.0 ?, R2 = 18.0 ?, and R3 = 36.0 ?} are connected in parallel, and in turn connected to a 70.0 V source with an internal resistance of 1.00 ?. What is the terminal potential of the source
Inertia and torque of the rotating bodies.
A heart defibrillator passes 11.0 A through a patient's torso for 5.00 ms in an attempt to restore normal beating, What was the path's resistance?
A gymnast with mass m1 = 47 kg is on a balance beam that sits on (but is not attached to) two supports. The beam has a mass m2 = 118 kg and length L = 5 m. Each support is 1/3 of the way from each end. Initially the gymnast stands at the left end ..
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