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A diver of mass 60kg, on entering the water with an initial velocity of 14.87ms-1, experienced a force of resistance due to the opposing motion of magnitude of 180v Newtons, where v is the velocity of the diver in ms-1 . In addition to the force of gravity, the diver also experiences a constant upward buoyancy force of 720N. Take the origin of motion to be the surface of the water. The magnitude g of the acceleration due to gravity can be taken as 10ms-1 . Calculate the maximum depth, in metres the diver will submerge. Give answer to 3 decimal places.
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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