Determine and list two practical examples of levers (in the body or daily living) for each lever class. Do not use examples already discussed in this chapter. For each example identify the force, axis, and resistance. Also explain the advantage of using each lever- that is, whether it is to achieve balance, force, motion, speed, or range of motion.

A small solid sphere of mass M₀, of radius R₀, and of uniform density ρ₀ is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
Read it to me
R F U R or U F or U R or F or U  The new sphere has density ρ = ρ₀ and radius R < R₀
R F U R or U F or U R or F or U  The new sphere has density ρ > ρ₀ and mass M = M₀
R F U R or U F or U R or F or U  The new sphere has radius R > R₀ and density ρ < ρ₀
R F U R or U F or U R or F or U  The new sphere has mass M > M₀ and density ρ = ρ₀
R F U R or U F or U R or F or U  The new sphere has radius R = R₀ and mass M > M₀
R F U R or U F or U R or F or U  The new sphere has mass M = M₀ and density ρ < ρ₀

A 7 nC charge is located at the origin (0,0) cm and another 4 nC charge is located at (5,0) cm. What would be the net electric field at a point (5, 4) cm? If you now place a 2 nC charge at that point what would be the magnitude of the net force acting on it?

What do isodeformation conditions in composite materials mean and describe the rule of
mixtures for binary compounds.

You are given a vector in the xy plane that has a magnitude of 89.0 units and a y component of -60.0 units.

What are the two possibilities for its x component?

Assuming the x component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the −x direction.

Specify the direction of the vector.

An explosion breaks an object into two pieces, one of which has 2.30 times the mass of the other. If 7700 J were released in the explosion, how much kinetic energy did each piece acquire(a) Calculate the velocity of the target ball after the collision.

heavier piece? ___J

lighter piece? ____J

A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. Afterward it is found that the incoming ball has bounced backward with a speed of 6.3 m/s.

(a) Calculate the velocity of the target ball after the collision
____m/s
(b) Calculate the mass of the target ball.
____ kg

A 707 kg car stopped at an intersection is rear-ended by a 1830 kg truck moving with a speed of 11.5 m/s. If the car was in neutral and its brakes were off, so that the collision is approximately elastic, find the final speed of both vehicles after the collision.
____ m/s (car)
____ m/s (truck)

If we dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

Pro Tips

Air density @ sea level, 59 degrees, no wind = p = .002377 slugs/ft^3

Coefficient of drag (flat plate, NASA) = C(d) = 1.28

Weight = W = 4451 lbs

Gravitation constant = g = 32.2 ft/sec^2

Area = A = 197.5" long x 78.2" wide x (1 ft^2/ 144 in^2)

Vehicle falls flat, wheels 1st, straight down, at constant acceleration with no aerodynamic drag until terminal velocity

Horsepower needed to accelerate is AVERAGE - not peak

100% driveline efficiency

A hollow aluminum cylinder 24.5 cm deep has an internal capacity of 2.000 L at 17.0°C. It is completely filled with turpentine at 17.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 69.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10⁻⁶°C⁻¹, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10⁻⁴°C⁻¹.)

(a) How much turpentine overflows?

_______cm^3

(b) What is the volume of turpentine remaining in the cylinder at 69.0°C? (Give your answer to at least four significant figures.)

___________L

(c) If the combination with this amount of turpentine is then cooled back to 17.0°C, how far below the cylinder's rim does the turpentine's surface recede?
____________cm

a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north or east from the old oak tree. (2) Turn 45 degrees to your left (you should now be facing 75degrees north of east) and walk another fifty meters. You will find the treasure buried under a rock. What straight-line path would take you directly from the old oak tree to the rock with the treasure buried under it?

b) You followed the first direction on the treasure map correctly but after trying to follow the second direction, you do not find a rock with treasure buried under it. Instead, you are standing in a mudhole 92.4 meters 7.50 degrees north of east from the oak tree. What was the erroneous path (distance and direction) you took for the second part of the directions? What mistake did you make in following the directions on the treasure map?

Let's use the Bohr model equations to explore some properties of the hydrogen atom. We will determine the kinetic, potential, and total energies of the hydrogen atom in the n=2 state, and find the wavelength of the photon emitted in the transition n=2?n=1.

Find the wavelength for the transition n=5 ? n=4 for singly ionized helium, which has one electron and a nuclear charge of 2e. (Note that the value of the Rydberg constant is four times as great as for hydrogen because it is proportional to the square of the product of the nuclear charge and the electron charge.)

Express your answer in nanometers to three significant figures.

Calculate the binding energy per nucleon for 55Mn, 9Be, 14N, and 7Li. (For the atomic masses, see this table. Enter your answers to at least two decimal places.) (a) 55Mn MeV/nucleon (b) 9Be MeV/nucleon (c) 14N MeV/nucleon (d) 7Li MeV/nucleon

wasnt provided a table

14.4 15.0 L of an ideal monatomic gas at 3.00 atm and 450 K are contained in a cylinder with a piston. The gas first cools isochorically to 270 K (step 1). It then expands isobarically back to its original temperature (step 2), and then contracts isothermally back to its original volume (step 3). a) Show the series of processes on a pV diagram. b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the p and V values on the pV diagram. c) Compute the total work done by the gas on the piston during each step of the cycle in L - atm, and the total work done by the gas for one complete cycle. d) Compute the heat added during each step of the cycle in L - atm, and the net heat added for one cycle. Compare the total work done with the net heat added. e) Is this an engine or a refrigerator? If it is an engine, what is its efficiency; if it is a refrigerator, what is its coefficient of performance?

1.16 [1pt] Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric field lines and indicate the value of electric field 1 m away from the plane

1.16 ANSWER

1.17 [1pt] Let’s add a point charge of-1C, at a distance 1 m from the plane in problem 1.18. What would be the force onto the charge?

1.17 ANSWER

1.18 [2pt] How much work will it take to remove the point charge in 1.17 from where it was infinitely far away from the plain. Explain your answer to the best of your knowledge.

1.18 ANSWER

Consider a conducting sheet with dimensions 1m by 1m by 1mm. A charge of 1 C was deposited into it, assume it is spread uniformly along the surface.

1.19 [1pt] What is electric field inside the sheet?

1.19 ANSWER

1D Kinematics Problem: An object moves along the x axis according to the equation

x = 2.80t² − 2.00t + 3.00,

where x is in meters and t is in seconds.

(a) Determine the average speed between t = 2.10 s and t = 3.40 s.


(b) Determine the instantaneous speed at t = 2.10 s.


Determine the instantaneous speed at t = 3.40 s.


(c) Determine the average acceleration between t = 2.10 s and t = 3.40 s.


(d) Determine the instantaneous acceleration at t = 2.10 s.

Determine the instantaneous acceleration at t = 3.40 s.


(e) At what time is the object at rest?