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The Acapulco cliff diving competition, which was made famous in the 1970's on ABC's Wide World of Sports, involves a vertical drop of 37 m to the water below. The leader in this year's competition, Speedo Sinclair, has just climbed into position and leapt off the cliff. Assuming that he started his dive with his vertical velocity equal to zero:
How long will it take him to hit the water (in seconds)? __________
What will his vertical velocity be when he hits the water (in m/s)? __________
If the jagged rocks along the water's edge extend 3.5 m beyond the jump-off point, what minimum horizontal velocity must he generate to miss the rocks (in m/s)? ____________
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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