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A wheel of mass 1.24kg and radius 0.44 (I = 0.5mr^2) starts from rest and rolls without slipping for a distance of 1.7m down a 35 degree incline. How fast is it traveling at that point?
Determine the normal mode frequency of the Lagrangian, given by L=(1/2)(xdot2 +ydot2)-(1/2)(ω21x2+ω22y2)+ αxy ,where α is constant xdot =ydot means derivative with respect time.
A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank through a hose of diameter 6.60 cm. The hose ends with a nozzle of diameter 2.20 cm.
An electron of mass, m, collides with an atom of mass M. The atom is initially at rest, What is the minimum speed of the electron in order to excite the atom
Find the final velocity of the two balls if the ball with velocity v2i = ?21.4 cm/s has a mass equal to half that of the ball with initial velocity v1i = +25.8 cm/s
An aircraft, diving at an angle of 53with the vertical, releases a package at an altitude of 730 m. What is the speed of the aircraft
A three-phase synchronous generator is connected to a step-up transformer T1, which is connected to a 60km long transmission line. As the far end of the line, a step-down transformer bank T2 is connected. The secondary of T2 supplies two loads L..
An arbitrary mass of 0.200 kg is connected to a light spring with force constant 5 N/m and is free to oscillate on a horizontal, frictionless surface. What is the maximum speed of the mass
Two 3.25μF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244V. Determine the rms (peak) current in the circuit
A college student renting in a home has a circuit box capable of drawing only 25.0 A before blowing a fuse. With the common wall voltage of 120 V, calculate the maximum power that this home may use
a 4 cm diameter vertical cylinder is sealed at the top by a frictionless piston. the piston is 23 cm above the bottom
The deepest place in all the oceans is the Marianas Trench, where the depth is 10.9 km and the pressure is 1.10x10^8 Pa. by how much does its volume decrease
A fountain sends a stream of water straight up into the air to a maximum height of 4.22 m. determine how many gallons per minute are being used by the fountain
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