1) A 12 liter volume of oil is subjected to pressure which produces a volume strain of -3.0 × 10-4. The bulk modulus of the oil is 6.0 × 109 Pa and is independent of the pressure.
The reduction in the volume of the oil, in ml, is closest to:
A) 2.8
B) 2.4
C) 3.6
D) 3.2
E) 2.0
2) A mass attached to a very light spring executes simple harmonic motion. If you want to double its total energy, you should 8) ______
A) double the force constant of the spring while changing nothing else.
B) double both the mass and amplitude of vibration.
C) double the amplitude of vibration while changing nothing else.
D) double the mass while changing nothing else.
E) double both the amplitude and force constant.
3) A 4.0 g string, 0.36 m long, is under tension. The string produces a 500 Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. In this situation, the wavelength of the standing wave in the string, in SI units, is closest to:
A) 0.72
B) 0.90
C) 0.24
D) 0.36
E) 0.54
4) A string, 2.0 meters in length, is fixed at both ends and tightened until the wave speed is 18 m/s. What is the frequency of the standing wave?_
A) 27 Hz
B) 81 Hz
C) 110 Hz
D) 54 Hz
5) The density of material at the center of a neutron star is approximately 1.00 x 1018 kg/m3. Calculate the mass of a cube of this material that is 1.76 microns on each side. One micron is equal to 1 x 10-6 m. 21) ______
A) 6.70 kg
B) 5.45 kg
C) 4.74 kg
D) 6.16 kg
6) How much apparent mass would a 2.0 in x 2.0 in x 8.0 lead brick have if placed in oil with density of 0.93 g/cm3? (density of lead is 11.4 g/cm3) 22) ______
A) 0.34 kg
B) 6 kg
C) 0.49 kg
D) 5.5 kg
7) A 200.0 kg flat-bottomed boat floats in fresh water, which has a density of 1000.0 kg/m3. Assuming that the base of the boat is 1.42 m wide and 4.53 m long, how much of the boat is submerged when it carries three passengers whose total mass is 257 kg? 23) ______
A) 8.52 cm
B) 7.10 cm
C) 7.95 cm
D) 7.53 cm
8) A waitress fills your water glass with ice water (containing many ice cubes) such that the liquid water is perfectly level with the rim of the glass. As the ice melts, 25) ______
A) the liquid water level rises, causing water to run down the outside of the glass.
B) the liquid-water level remains flush with the rim of the glass.
C) the liquid-water level decreases.
9) A barge loaded with lumber and iron ore floats in a lock by a dam (a closed pool of water like a big swimming pool). If some of the cargo is thrown overboard, the level of water in the lock will 28) ______
A) rise, provided it is lumber that is thrown overboard.
B) rise, no matter what is thrown overboard.
C) stay the same, no matter what is thrown overboard.
D) rise, provided it is iron ore that is thrown overboard.
E) drop, provided it is iron ore that is thrown overboard.
10) The Bernoulli effect is described by the equation
P1 + 1/2ρv21 + ρgh1 = P2 + 1/2ρ + ρgh2
The origin of this relation is that it is a statement of 30) ______
A) Newton’s Third Law, i.e. equal action and reaction.
B) the conservation of linear momentum.
C) the continuity principle for fluids.
D) the conservation of energy for a moving fluid.
E) F = ma as applied to a fluid.

09.1 A small block on a frictionless surface has a mass of 70 g. It is attached to a massless string passing through a hole in a horizontal surface (see diagram). The block is originally rotating in a circle of radius 45 cm with angular speed 0.80 rad/s. The string is then pulled from below until the radius of the circle is 25 cm. You may treat the block as a point particle. (a) Is the angular momentum of the block conserved? Why or why not? (b) What is the final angular speed? (c) What are the initial and final tensions in the string? (d) What was the change in kinetic energy of the block? (e) How much work was done in pulling the string? 09.2 A diver stands on the end of a diving board as shown in the figure on the right. The mass of the diver is 58 kg and the mass of the uniform diving board is 35 kg. Calculate the magnitudes and directions of the forces exerted on the board at the points A and B.
9.3 A ladder, 5.0 m long, leans against a frictionless wall at a point 4.0 m above the ground. A painter is climbing up the ladder. The mass of the ladder is 12.0 kg and the mass of the painter is 60.0 kg. The ladder begins to slip at its base when the painter is 70 % of the way up the length of the ladder. What is the coefficient of static friction between the ladder and the floor?
9.4 You are doing exercises on a Nautilus machine in a gym to strengthen your deltoid (shoulder) muscles. Your arms are raised vertically and can pivot around the shoulder joint, and you grasp the cable of the machine in your hand 64.0 cm from your shoulder joint. The deltoid muscle is attached to the humerus 16.0 cm from the shoulder joint and makes a 12.0∘ angle with that bone. a) If you have set the tension in the cable of the machine to 33.0 N on each arm, what is the tension in each deltoid muscle if you hold your outstretched arms in place? b) What then is the magnitude of the force on the humerus bone at the shoulder joint if you are holding your arm in place? (Assume the mass of the arm is 8.0 kg.)

1)
A steel cable 1.25 inches in diameter and 50 ft long is to lift a 40,000 lb weight. What is the length of the cable during lifting? The modulus of elasticity of the steel is 30×106 psi.
2)
A large flat plate is subjected to constant amplitude uniaxial cyclic tensile and compressive stresses. Compute the critical crack length if the fatigue life must be at least 3×106 cycles. Assume the initial maximum edge surface crack length to be 1.1 mm, and a maximum tensile stress of 160 MPa. Assume m=3.0, A=1.4×10-13MPa in meter units, and Y=1.2.