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Q1. A Federation star ship (2.0×10^6 kg) uses its tractor beam to pull a shuttlecraft (2.0×10^4 kg) aboard from a distance of 10.0 km away. The tractor beam exerts the constant force of 2.50 X 10^4N on the shuttlecraft. Both spacecraft are initially at rest. How far does the star ship move as it pulls the shuttlecraft aboard?
Q2. A rectangular swimming pool 60ft long, 10ft wide, and 16ft deep is filled with water to a depth of 13 ft. Use an integral to find the work necessary to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3.)
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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