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You are driving toward a traffic signal when it turns yellow. Your speed is the legal speed limit of v0 = 55km/h; your best deceleration rate has the magnitude a = 5.18m/s2. Your best reaction time to begin braking is T = 0.75s. To avoid having the front of your car enter the intersection after the light turns red, should you brake to a stop or continue to move at 55 km/h if the distance to the intersection and the duration of the yellow light are
(a) 40 m and 2.8 s, and
(b) 32 m and 1.8s, give an answer of brake, continue, either (if either strategy works), or neither (if neither strategy works nor the yellow duration is inappropriate).
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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