Solve the following problems on your own paper. Please:

• Show all work.
• Put a box around your final answer to each problem.
• Be sure proper significant figures (SF) used for all answers.
• Separate all solutions with a horizontal line on your paper.
• A random selection of four even problems will be graded for 25 points each.
• Solutions for suggested odd problems can be seen by following links.
• Solutions for even problems will be linked from this page after the due date.

Chapter 12

#2 #2

Convert to mks units before calculting work.

#4

The work done by the opposing air pressure in the last part is just equal to the force exerted by the air multiplied by the displacement (multiplied by cos 180 since they point in opposite directions). The force exerted by the air is air pressure multiplied by cross-sectional area.

#20a-b

Do parts a-b only. Note that the temperature is smallest when the product P*V is the smallest, according to the ideal gas law.

#24

Just use logic here. The equation is Delta-U = Heat added to gas - work done by gas. So for example, if delta-U is positive and the work done by the gas is zero, then the heat added to the gas must be positive.

#26 #26

Recall that the internal energy (U) is not important, really. Delta-U is what appears in the equations. That's what you need to keep track of.

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Suggested odd problems:

C2, C3 C4, C5, C14, #1, #3, #5a #5b, #6, #7, #8a #8b, #9, #10, #12, #13, #15, #17, #21, #23, #25, #29, #61a #61b, #62

Chapter 13

#8

Use the work-energy theorem for part (a). Note that the mass starts at rest and then stops when the spring reaches its maximum elongation.

#12

Work-energy here, also. We can assume here that the spring force is the only force doing work.

#18

The maximum speed will occur when the kinetic energy is at its maximum value (and the potential energy is at its minimum value). The maximum acceleration will occur when the spring force is maximized.

#22

Convert to mks before beginning. Use ch 7 methods for this problem.

#28 #28

Similar to 41 and 42.

#30

Express answers as a fraction of the amplitude, e.g. x = 0.31A or x = 0.50A.

#34

Just use equation 13.15 for this one.

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Suggested odd problems:

C1, C2, C4, C5, C6, C7, C8, C11, C12, #1, #2, #3, #4, #5, #7, #9, #10, #11, #13, #15, #16a #16b, #17, #19, #20, #21, #24, #25, #26, #27, #29, #31, #35, #36, #37, #39, #40, #41, #42, #43, #44