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 4

#8

Be sure to use .005 kg for the mass of the bullet. You may assume the bullet starts from rest.

#18

Just focus on the intersection of the three wires. The tension in the left wire is 110 N, the tension in the right wire is the unknown w2. Write down two equations of equilibrium for the intersection (one for x-components and one for y-components), and you should have it solved quickly.

#20

Since the boat moves with a constant velocity, the acceleration is zero. You only need to worry about the x-component for this problem.

#30

Keep your sign conventions consistent and in the same direction along the rope connecting the masses. Write one F = ma equation for each crate and solve for the two unknowns. See example 4.13.

#34

Note that both objects will have the same magnitude in their accelerations. As in 30, keep your sign conventions along the same direction of the rope for each mass (so up might be positive on the left side, but down would then be positive for the right side).

#36

First decide if the sum of all forces on the 10-kg mass is larger than the maximum possible force of static friction.

#38

If it helps, you can assume the mass is 1 kg, but you actually don't need the mass. The answer is the same regardless of what value you choose for the mass (try a different number for the mass, and you'll see). See example 4.12 for more help on this one.

#42

Be careful calculating the normal force here. It isn't simply mg! You must include all of the vertical components of force, including the vertical component of the weight *and* the vertical component of the applied force, when calculating the magnitude of the normal force.

#48

This is similar to suggested problem #26.

#60

As long as you are consistent with your sign conventions, this should be perfectly straightforward and similar to examples from your book. Again, be careful when calculating the normal force (remember the definition and apply it here).

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Suggested odd problems:

C1,C2,C3,C4,C5,C6,C9,C10,C13,C14,C15, C16,C17, C18,C20,#1, #2, #3, #4, #5, #6, #7, #12, #13, #14, #15, #16, #17, #19, #21, #23, #24, #25, #26, #27, #28, #29, #31, #32, #33, #35, #37, #40, #41, #44, #45, #46, #47, #49, #50, #57, #58