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A woman using a rocket pack hovers near a balcoy. The mass of the woman with gear is 100 kg and her tanks hold 50 kg of rocket fuel. The exhaust velocity of the fuel is 2200 m/s. Find
a) What rate of fuel consumption is required for hovering,
b) If k remains constant, what is the woman's velocity whe she runs out of fuel? Set up an integral to find how far the woman goes upward during the time her fuel is burning.
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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