### Use an integral to find the work necessary to pump

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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.)

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