I have three different homework questions I cannot seem to get
My hw is due at 12 so if anyone can help that would be helpful

Thank you

1)   For a car moving with speed v, the force of air drag is proportional to v². If the power output of the car's engine is quadrupled, by what factor does the speed of the car increase?

2)Tarzan

3) A wheel of mass 13 kg is pulled up a step by a horizontal rope as depicted in the figure below. If the height of the step is equal to one-fifth the radius of the wheel,

What is the maximum value of the electric field in an electromagnetic wave whose average intensity is 7.45 W/m2 ?

Four moles of a monatomic ideal gas are taken through a three-process thermodynamic cycle. The gas initially has a pressure of 8.00 atm with a temperature of 600 K (point A). The gas it then expanded isothermally to point B where the volume is 48.0 L. The gas is compressed via an isobarically process (point C). The gas is then expanded adiabatically back to its initial state. For all calculations using the ideal gas law assume that R = 0.08 (L atm) / (mol K). For any calculations of work, heat, internal energy, or entropy use R = 8.0 J / (mol K).

a. Compute all unknown pressures, temperatures, and volumes and organize them into a table.

b. Find the work done going from point C to point A?

c. What is the heat added to the system going from A to B?

d. What is the change in internal energy going from B to C?

e. What is the change in entropy going from A to B?

A very long conducting pipe (hollow cylinder) has inner radius a= 1.2 cm and outer radius b= 2 cm . It carries charge per unit length of + 530 nC/m . A line of charge lies along the axis of the pipe. The line of charge also has charge per unit length of + 530 nC/m .

A- What is the coefficient of 1/r in the correct expression for the electric field strength as a function of r for r < a?

B- For a < r < b, what is the value of the electric field strength?

C- What is the coefficient of 1/r in the correct expression for the electric field strength as a function of r for r > b?

D- What is the charge per unit length on the inner surface of the tube?

E- What is the charge per unit area on the inner surface of the tube?

F- What is the charge per unit length on the outer surface of the tube?

G- What is the charge per unit area on the outer surface of the tube?

A 14.5 m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 55.0° angle with the horizontal.

(a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 810 N firefighter is 4.10 m from the bottom.
Magnitude of the horizontal force
N Direction

towards the wallaway from the wall    

Magnitude of the vertical force
N Direction

updown    

(b) If the ladder is just on the verge of slipping when the firefighter is 9.20 m up, what is the coefficient of static friction between ladder and ground?

A father racing his son has one-third the kinetic energy of the son, who has two-fifths the mass of the father. The father speeds up by 2.5 m/s and then has the same kinetic energy as the son. (a) What is the original speed of the father?(b) What is the original speed of the son?

Give an example in which potential energy is transformed to thermal energy (U goes to Eth)

Please show me all the solutions to these problems.

6. Convert 500 CFM (cubic feet per minute) to gallons per day.

7. An eight-ounce cup of Starbuck’s cappuccino has 75 mg of caffeine. How many
grams of caffeine are in 3 gallons of cappuccino? There are two cups in a pint, two
pints in a quart and 4 quarts in a gallon.

8. Express 150 ng in μg.

9. Express 81 mg in μg.

10. Express 13 μm in nm.

A student has a flat board and a small block. From the experiment, he wants to determine the coefficients of static and kinetic frictions.

A) Placing the block on the board, the student raises one end of the board slowly. When the board has a vertical height of 20.0 cm, the block begins sliding down the length of the board, 77.3 cm. Using this information, what is the coefficient of static friction?

B) As the block slid down the length of the board, it accelerated. If it took 1.60s for the block to slide down the full length of the board, calculate the coefficient of kinetic friction.

C) The student now lowers the angle of the board from parts A and B and pushes the block to start it moving. At what angle will the block slide down at a constant speed?

D) The student now sets the board at and angle of 30.0 degrees. As they put the block on the board, they begin pushing on the block, perpendicular to the board, to prevent it from sliding. What is the minimum force needed to do this?

A river 108.4 m wide flows toward the south at 30.5 m/min. A girl on the west bank wishes to reach the east bank in the least possible time. She can swim 108.4 m in still water in 1.60 min.

(a) How long does it take her to cross the river?

(b) How far downstream does she travel?

c) What is her velocity relative to land? Magnitude and direction

(d) What is the total distance she travels?

(e) In what direction must she swim if she wishes to travel straight across the river?

A sheet of glass is coated with a 495-nm-thick layer of oil (n = 1.42).

1- For what visible wavelengths of light do the reflected waves interfere destructively?

2- What is the color of reflected light? ( Yellow,Green-blue,Red, or Orange )

3- What is the color of the most part of transmitted light? ( Orange, Yellowish green, Red,or Blue ).

Please, show me.

A 2.49-kg cart on a long, level, low-friction track is heading for a small electric fan at 0.25 m/s . The fan, which was initially off, is turned on. As the fan speeds up, the magnitude of the force it exerts on the cart is given by at2, where a = 0.0200 N/s2.

Part A

What is the speed of the cart 3.5 s after the fan is turned on?

Part B

After how many seconds is the cart's velocity zero?

b) How much work in Joules must be done for a heat transfer of 4.925x10^6 J from the cold environment?

c) What is the cost of doing this, if the work costs 16.5 cents per 3.60x10^6 J (a kilowatt-hour)?

d) How many Joules of heat transfer occurs into the warm environment?

Why are Sunspots dark and how/why do scientists think they are formed?

Sphere A of mass 0.600 kg is initially moving to the right at 4.00 m/s. sphere B, of mass 1.80 kg is initially to the right of sphere A and moving to the right at 2.00 m/s. After the two sphere collide, sphere is moving at 3.00 m/s in the same direction as before.

(c) Sphere B then has an off-center collision with sphere C,
which has mass 1.20 kg and is initially at rest. After this collision,
sphere B is moving at 19.0° to its initial direction at
What is the velocity (magnitude and direction) of sphere C after
this collision?

(d) What is the impulse (magnitude and direction)
imparted to sphere B by sphere C when they collide?

(e) Is this second collision elastic or inelastic?

(f) What is the velocity (magnitude and direction) of the center of mass of the system of three
spheres (A, B, and C) after the second collision? No external forces
act on any of the spheres in this problem.