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In the limit of weak damping ( γ/ω << 1) and small angles, show that the total energy (sum of kinetic and potential energy) of a pendulum described by equations x(t) = x0e^-γt/2 cos (ωrt + α) and v(t) = -x0ωe^-γt/2 sin(ωrt + α) is constant over one period, but decays in time proportional to e-γt.
Two resistance less rails rest 22cm apart on a 5.0?ramp. They are joined at the bottom by a 0.75 ohm resistor. What is the terminal (steady) velocity of the bar as it slides frictionless down the rails
a 0.400kg ice puck moving east with a speed of 6.50ms has a head-on collision with a 0.700kg puck initially at
A 300 pound man is submerged in water, and his submerged weight is approximately 120 pounds. What is the volume of this individual
a proton is rotating in a 7.19 * 10^ -11 m radius circle with a frequency of 5 * 10 ^15 Hz, How large is the resultant magnetic field
A woman who can row a boat at 7.3 km/h in still water faces along, straight river with a width of 6.8 km and a current of 3.3km/h. Let point directly across the river and point directly downstream. If she rows in astraight line to a point directly..
A parachutist relies on air resistance (mainly on her parachute) to decrease her downward velocity. What is the combined weight of the parachutist and parachute
A person with a weight of 237 lb stands on two feet with their weight equally distributed between the two shoes, What is the pressure on each shoe independently
At the one meter mark a +1 coulomb charge is placed. At the two meter mark a -1 Coulomb is placed. Determine the electric field at the zero meter point
The rear window of a van is coated with a layer of ice at 0°C. The density of ice is 917 kg/m3, What is the maximum thickness of ice above this area that the defroster can melt in 3.9 minutes
A block of mass m=0.20 kg is attached to a spring with force constatnt k=12.0 N/cm. Determine the decrement of the motion
A 1.98-cm by 1.58-cm rectangular coil has 276 turns. The coil rotates at 66rev/s in a magnetic field. If the maximum emf generated by the coil is 25V, what is the magnitude of the magnetic field?
A 60 kilogram water skier is being pulled by a nylon (Young's modulus 3.7 x 109 N/m2) tow rope that is attached to a boat. Find the change in length of the rope when the skier has an acceleration whose magnitude is 0.72 m/s2
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