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Q. Three astronauts, propelled by jet backpacks, push and guide a 137 kg asteroid toward a processing dock, exerting the forces, with F1 = 27 N, F2 = 55 N, F3 = 43 N, θ1 = 30°, and θ3 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis) of the asteroid's acceleration?
Q. Three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65.0 N. If m1 = 12.0 kg, m2 = 24.0 kg, and m3 = 31.0 kg, calculate (a) the magnitude of the system's acceleration, (b) the tension T1, and (c) the tension T2.
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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