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Q1. Chinook salmon are able to move upstream faster by jumping out of water periodically; this behaviour is called proposing. Suppose a salmon swimming in still water jumps out of the water with a speed of 6.2 m/s at an angle of 45°, sails through the air a distance L before returning to the water, and after that swims a distance L underwater at a speed of 3.5 m/s before beginning another proposing manoeuvre. Find out the average speed of the fish.
Q2. A man sitting in a bosun's chair that dangles from a massless rope, which runs over a massless, frictionless pulley and back down to the man's hand. The combined mass of the man and chair is 86 kg. With what force magnitude should the man pull on rope if he is to rise with upward acceleration of 1.4 m/s2?
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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