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(A) Find the position of a particle on a circle of radius R with center at the origin. Assume that theta is the angle of the position vector with the axis. Express your answer in terms of the variables R, and Theta , and unit vectors i hat, and j hat .
(B) If the particle moves with constant speed v starting on the x-axis at t = 0, find an expression for in terms of time t and the period T to complete a full circle. Express your answer in terms of the variables t, T, and appropriate constants.
(C) Differentiate the position vector twice with respect to time to find the acceleration, and find its magnitude.
A 31-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
Two coils are close to each other. The first coil carries atime-varying current given by I(t) =(4.7 A)e^-0.023t sin(377t). What is the mutual inductance of the coils
For most standard cosmologies other than deSitter the scale factor varies as t^n, with n
A tiny sphere with a charge of q = +6.4 µC is attached to a spring. Two other tiny charged spheres, each with a charge of ?4.0-µC, are placed in the positions shown in the figure, in which b = 4.1 cm.
A test rocket is fired straight up from rest with a net acceleration of 20 m/s2. What maximum elevation does the rocket reach
A coil with internal resistance can be modeled as a resistor and an ideal inductor in series. Assume that the coil has an internal resistance of 1.60 ?, What is the quality factor of the circuit
If one sphere (density = .3 x 10^3 kg/m^3) is placed at the bottom of a tub filled with water, and another sphere (density = 8.1 x 10^3 kg/m^3) is placed 1.5 m directly above the first sphere. Determine the acceleration of each sphere
Consider a 2.4 kg object sliding along a horizontal frictionless surface at 5.2 m/s. Find initial and final elastic potential energies
A current of 0.300 A through your chest can send your heart into fibrillation, ruining the normal rhythm of heart beat and disrupting the flow of blood (and thus oxygen) to your brain. If that current persists for 2.17 min, how many conduction electr..
A cylinder like an oil drum is being rolled across a level floor by a force ~F applied horizontally to the top. find the force of friction between the cylinder and the floor
A five-sided object, whose dimensions are shown in the drawing, is placed in a uniform magnetic field. Determine the magnetic flux through the slanted side
Two 0.70m -long pendulums hang side by side. The masses of the pendulum bobs are 55g and 65g. To what height does the heavier bob rebound
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