Collected Problems for Final

**Problem #27** (Due 4/18 Wednesday by 2:00 p.m.)

#22, page 380

**Problem #28** (Due 4/19 Thursday by 2:00 p.m.)

A hollow plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the cord is 901 N.

a) Calculate the buoyant force exerted by the water on the sphere.

b) What is the mass of the sphere?

c) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

**Problem #29** (Due 4/20 Friday by 2:00 p.m.)

A water pipe having a 2.5 cm inside diameter carries water into the basement of a house at a speed of 0.09 m/s and a pressure of 170 kPa. If the pipe tapers to 1.2 cm diameter and rises to the second floor 7.6 m above the input point, what are the (a) speed and (b) water pressure at the second floor?

**Problem #30** (Due 4/25 Wednesday by 2:00 p.m.)

#18, page 500

**Problem #31** (Due 4/26 Thursday by 2:00 p.m.)

A 40.0 g block of ice is cooled to -78^{o}C. It is added to 560 g of water in an 80.0 g copper calorimeter at a temperature of 25^{o}C. Determine the final temperature . If not all the ice melts, determine how much ice is left.

**Problem #32** (Due 4/27 Friday by 2:00 p.m.)

#12, page 531

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