Part 1:

1. A ship has a top speed of 3.0 m/s in calm water. The current of the ocean tends to push the boat at 2.0 m/s on a bearing of due South. What will be the net velocity of the ship if the captain points his ship on a bearing of 55° North or West and applies full power?

2. An airplane is 5,000 m above an observer and 2.1 km to the west of them and 1.5 km to the north of you. Determine the angle to the plane in the x - y axis and the total distance to the plane from you. Choose the x-axis east, y axis north, and z axis up.

3. A bullet is fired from at a shooting range. The bullet hits the ground after 0.32 seconds. How far did it travel horizontally and vertically in this time if it was fired at a velocity of 1100 m/s?

4. A not so brilliant physics students wants to jump from their 3rd floor apartment window to the swimming pool below. The problem is the base of the apartment is 8.00 meters from the pool's edge. If the window is 20.0 meters high, how fast does the student have to be running horizontally to make sure they make it to the pool's edge?

5. If a 1500 kg car stopped from an in 5.6 seconds with an applied force of 5000 N, how fast was it initially traveling?

6. If the acceleration due to gravity on the Moon is 1/6 that what is on the Earth, what would a 100 kg man weight on the Moon? If a person tried to simulate this gravity in an elevator, how fast would it have to accelerate and in which direction?

7. A 7.93 kg box is pulled along a horizontal surface by a force F_P of 84.0 N applied at a 47.0oangle. If the coefficient of kinetic friction is 0.35, what is the acceleration of the box?

8. If a car is traveling at 50 m/s and then stops over 300 meters (while sliding), what is the coefficient of kinetic friction between the tires of the car and the road?

Part 2:

1. A 5600 kg mass car is taking a turn at 72 m/s. If the frictional force here is 44,000N, what is the radius of curvature of the turn?

2. Up where the ISS (International Space Station) orbits at 387 km, even though they are weightless there still is an acceleration due to gravity. Calculate its value and what it is in respect to 8g at the Earth's surface.

3. Going back to the previous question, how long does it take the ISS to orbit? (You must calculate this and not just look it up!)

4. If a person on a 35.0 m diameter Ferris wheel feels 30% heavier at the bottom of the wheel, how fast is it going around?

5. A large box with mass 45 kg is being pushed up a ramp at a 32o incline at a constant velocity by a man pushing parallel to the incline for 7.80 m. If the coefficient of kinetic friction is 0.25, what is:

1. The force the man is pushing on the box.
2. The work done by the man on the box.
3. The force of friction.
4. The work done by the friction force.

6. A spring with negligible mass is suspended next to a ruler such that the end of the spring at equilibrium is at the 0 cm mark on the ruler. If a 3.0 kg mass is suspended from the spring and it stretches so that the end of the spring is at the 17 cm mark, what is the spring constant k?

7. A softball having a mass of 0.45 kg is pitched horizontally at spring with spring constant 78 N/m. If the ball hits the spring and compresses it 56 cm, how fast was the softball moving initially?

8. A roller coaster is a height of 120 m and has a series of dips. What is he velocity at the bottom (assuming this is 120 m below the top) and what is the velocity at a bump that is 75 m above the ground?

Part 3:

1.A rail car of mass 4500 kg is moving with a velocity of 12.4 m/s collides with a stationary rail car of mass 6700 kg. What is the velocity of the two cars if they stick after they collide?

2. A tennis player hits a 1.45 kg tennis ball with a racket of mass 2.5 kg. If he hits the ball with a velocity of 7.5 m/s and then stops, what impulse did he imply on the ball? What is the ball's velocity?

3. A 35 g bullet is fired in a ballistic pendulum device (see page 178 In text) and increases the height of the center of mass of the device and the bullet by 2.1 cm. If the level arm has a mass of 3.4 kg, what was the initial velocity of the bullet?

4. A puck slides on a surface for 5.6 m before it stops. If it was moving at a velocity of 15 m/s and has a mass of 1.2 kg, what is the force of friction exerted on the puck? There is a non-conservative work done on the puck equal to the change in kinetic energy, or:

5. If the diameter of a tire on a semi-truck is 1.1 m. How many FULL rotations will the tire roll if the truck moves 24.5 meters?

6. A large circus ride has a centripetal acceleration at 6.0 m/s2. If the circular ride has a radius of 11.0 m, what is its velocity at the edge?

7. If a 56 diameter circular disk is uniformly angularly accelerating at a rate of 5.0 rad/s2, what will the final angular velocity be after 4.0 seconds if it starts at a rate of 10.0 rad/s? What angle is subtended over that time?

8. A 40.0 N force is applied to a 46.0 cm long torque wrench. What is the net torque applied to the nut? Also if this force is applied for 3.0 seconds and the bolt starts from rest and ends with an angular velocity of 0.5 rad/s, what is the bolt's moment of inertia?

Part 4:

1. A street light is supported by two vertical wires and each makes a different angle from each other. The one on the left is 32 degrees and the one on the right is 43 degrees. Find the tension in each wire if the street light has a mass of 60.0 kg.

2. There are three masses m1 = 2.0 kg, m2 = 5.0 kg and m3 = 7.0 kg. The mass are all affixed to a massless rod of length 15cm. m1 and m3 are at the ends and m2 is 10 cm from left where m1 is. Calculate the center of mass of the system.

3. A pair of hedge trimmers are 45 cm long from the pivot to the end of the handles. If the person applies of a force of 15 N on each handle and the blades are 3.5 cm long, how much force is applied to the branch?

4. A 245 kg person lays on board that is supported only on the ends and that has a mass of 12.0 kg. If the person and the board are both 205 cm long and the person's center of mass is 38 cm from the left side, what is the force on either side where the board is supported?

5. A large tank of water is full and has a depth of 10.0 m. What is the pressure at the bottom of the tank? What would the velocity of the water be if the tank was opened at the bottom?

6. A Two balloons of identical volume (radius 11.5 m) are filled with gas. The first with helium, the second with hydrogen (H2) gas. Each balloon and cage have a mass of 750 kg. What is the lift created by each one? Which one lifts better?

7. A irregular piece of metal has a dry mass of 5.7 kg. Once it is submerged it has an apparent mass of 2.4 kg. What is the density of the piece of metal?

8. If water leaves a tank of water at a velocity of 16.7 m/s, how tall is the tank?

Part 5:

1. A spring with negligible mass stretches 34.0 cm when a 144 g gram mass is suspended from it. Now I suspend a mass m from the spring. If it oscillates at an angular frequency of 4.51 rad/s, what is the mass?

2. A 3.45 kg mass vertically compresses a spring 67.0 cm before it starts to rebound. How high will the mass move above the uncompressed spring if it the mass is left to "bounce" back up?

3. A transverse traveling wave on a cord is represented by D = 0.25 sin (6.8x + 28t) where D and x are in meters and t is in seconds.

a) Determine the wavelength of this wave.
b) Determine the frequency of this wave.
c) Determine the speed of this wave.
d) Determine the amplitude of this wave.
f) Determine maximum and minimum speeds of particles of the cord.

4. A person is watching water waves at the ocean and they notice the peak to peak distance between the waves is 3.4 m. They also notice there are 55 waves every 10.0 seconds passing the end of a pier. How fast are the waves going?

5. A whale sends an undersea signal to its mate and then gets a response 4.5 seconds later. How far away is the whale's mate?

6. A person sees a distant lightning strike, then 4.5 seconds later he hears the thunder clap. If it is 35 degrees Celsius, how far away was the lightning strike?

7. A single bass amplifier produces a volume of 102 dB. What is the sound level if the guitar amplifier that produces 98dB is played at the same time as the bass amplifier?

8. A string on a guitar vibrates at 420 Hz. If the tension on the string is 102 N, what is the mass of the string if the portion that vibrates is 63.7 cm long?

Part 6

1. A diamond has a mass of 56.6 g and the gold ring it is set in has a mass of 125.6 g. How many carbon atoms are there compared to gold atoms?

2. On a warm summer day in California it can get as hot as 115oF, and on some cold winter days it can get as cold as -20oF. What are these temperatures in Celsius?

3. An aluminum sphere is 5.50 cm in radius. What is its volume expansion coefficient if it increases in volume 2.00 cm3when heated from 100 oC to 151 oC?

4. Carbon 12 is defined such that 12g is one mole. So if a diamond is 37.5 g, how many moles of carbon are in it? How many molecules of carbon are in it?

5. 400 L of water is at 4 oC. If it took a heat 600 seconds to heat this up to 6 oC, what is the power rating of the heater?

6. A 95g cup of tea at 85 oC is poured into a 1.25 L large tub of water at 30 oC . What is the equilibrium temperature?

7. 150 g of ice at -10.5 oC is raised to the melting point and then raised to 76.0 oC. How much heat is added to the system?

8. A distant star is 7000 K and radiates 1.20 x1027 W. What is the star's radius? Assume ε = 1.0.

Part 7:

1. A 10.0 cm radius piston compresses a gas isothermally from a height of 15.0 cm to 2.50 cm at a constant pressure of 2.0 atm.

a) How much heat was added to the gas?

b) Now if 7000 J of heat is added to the system and the piston is only moves 5.0 cm up, what is the change in the internal energy of the system is the pressure is again constant at 2.0 atm?

2. Sketch a PV diagram for the following process:

a) A 2.0 L gas undergoes an isovolumetric increase in pressure from 1.0 atm to 2.0 atm

b) An isothermal compression from 2.0 atm and 2.0 L to 1.0 atm and 1.0 L

c) An isobaric compression from 2.0 L to 1.0 L

3. An ideal gas expands at a constant total pressure of 2.5 atm from 3.45 L to 6.70 L. Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value. Calculate:

a) the total work done by the gas in the process

b) the total heat flow into the gas.

4. Heat flows into an ideal gas at a constant volume. The pressure increases from 1.5 atm to 5.5 atm. Next the gas is compressed at constant pressure from 5.0 L to 2.5 L and goes back to its original temperature.

a) What is the total work done on the gas in the process?

b) What is the total change in internal energy?

c) What is the total heat flow of the process?