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During the initial charge of a capacitor up to its max charge Vo, the initial energy stored in the capacitor is 1/2(CVo)^2 . Show mathematically that this energy is equal to the total energy dissipated as heat in the resistance through which discharging the current flows.
A source of 116m In (half-life = 54.0 min.) is counted using a G-M tube. Successive 1-min observations gave 131,340 counts, calculate the true interaction rate in the G-M tube at 12:00
A 34-kg girl is bouncing on a trampoline. During a certain interval after she leaves the surface of the trampoline, How high does she rise during this interval
Suppose you are riding a stationary exercise bicycle, and the electronic meter indicates that the wheel is rotating at 9.50 rad/s. how far would you have gone if the bike could move
A car is traveling down a hill that makes an angle of 13° with the horizontal. The driver applies her brakes, evaluate the acceleration of the car
In the problem description is states that neutron is fired into a nucleus and knocks out a particle it collides with in a inelastic collision. Determine the internal energy change of the nitrogen nucleus
A simple harmonic oscillator is undergoing oscillations with an amplitude A. How far is it from its equilibrium position when the kinetic and potential energies are equal?
how far did the last car travel before momentarily coming to a rest. A 3 kg block accelerates at a rate twice that of a 6 kg block. Is the net force acting on the 3kg block twice as large as that acting on 6kg block.
A nail projects 40.0 mm horizontally outward from a wall. A 25.0 N coat is hung from the end of the nail and the nail deflects downward by 2.50 10-6 m. The shear strain of the nail is
A wheel with rotational inertia .146 kg-m2 turns through 40 rev as it slows down from an angular speed of 1.5 rad/s to a stop, what is the angular deceleration
A violin string 30.00 cm long and fixed at both ends oscillates in its n = 1 mode. The speed of waves on the string is 280 m/s, What is the wavelength of the emitted sound wave
A 9V battery is connected across a capacitor of 20uF through a switch which is initially open. What is the amount of charge that flows from the battery
One liter (1000 cm ^3) of oil is spilled onto a smooth lake it the oil spreads out uniformly unit it makes an oil slick just one molecule thick with adjacent molecules just touching estimate the diameter of the oil slick
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