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Q. A 1 x10^3 kg Toyota collides into the rear end of a 2.2 103 kg Cadillac stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 3.6 m before stopping. The police officer, knowing that the coefficient of kinetic friction between tires and road is 0.44, calculates the speed of the Toyota at impact. What was that speed?
Q. At t = 0, a flywheel has an angular velocity of 5.1 rad/s, an angular acceleration of -0.17 rad/s2, and a reference line at θ0 = 0. (a) Through what maximum angle θmax will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at θ = θmax/3? At what (d) negative time and (e) positive time will the reference line be at θ = -8.9 rad?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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