Two cars collide at an intersection. Car A, with a mass of 1900 kg , is going from west to east, while car B , of mass 1500 kg , is going from north to south at 12 m/s . As a result of this collision, the two cars become enmeshed and move as one afterwards. In your role as an expert witness, you inspect the scene and determine that, after the collision, the enmeshed cars moved at an angle of 65 ∘ south of east from the point of impact. Part A Part complete How fast were the enmeshed cars moving just after the collision? Express your answer using two significant figures. v = 5.8 m/s Previous Answers Correct Part B How fast was car A going just before the collision? Express your answer using two significant figures. How fast were the enmeshed cars moving just after the collision and how fast was car A going just before the collision?

a) Write down the state equation of an ideal gas. This equation can be utilized to derive any one of the macroscopic thermodynamic properties, p1, T1, or V1, of an ideal gas in state “1” when the other two properties and the gas’ conditions at some initial state “0” are known.

b) What is the ideal gas law? Express the law separately in terms of the amount of substance, the gas’ molar mass, the gas’ molar volume, and the gas’ number of particles (4 equations!).

c) When we divide the universal gas constant by Avogadro’s constant we obtain a new constant. What is this constant’s name? Derive its value and proper unit.

d) State Newton’s Law of Cooling and name all properties in the corresponding equation.

e) For most thermodynamic problems we use some standard definitions for pressure and temperature to which we relate our calculations. A popular choice is a standard air pressure of 1atm = 101325Pa at sea level and a temperature of T = 288.15K (or ϑ = 25°C), BUT there are many other standards in use! What is the barometric elevation equation which allows you to approximate the air pressure at an arbitrary height (idealized!)?

A spherical cannonball of mass 2M is launched with an initial velocity v0 at an angle of 45° above the horizontal. There is an explosive charge between the two halves of the cannonball which is detonated when the cannonball has reached the highest point of its trajectory. One half of the cannonball (mass M) is propelled backwards exactly along the original trajectory and lands back in the cannon (good trick!). Ignore air resistance for this problem.

a) Assuming level terrain, find the range of the center of mass of the system, i.e., how far away from the cannon does the center of mass of the system land?

b) Find the velocity of the second half of the cannonball (the one that doesn't land back in the cannon) immediately after the explosion.

c) How far away from the cannon does the second half of the cannonball land?

*Use Gauss's Law: Q1. Find the electric field (outside and inside) due to a uniformly charged solid sphere of radius “a” and the total charge Q.

Explanation with drawing will be appreciated.

1. Explain Bohr’s Theory of the Hydrogen Atom. When a hydrogen atom does absorbs or emits radiant energy? What kinds of spectrum is created when we observe the emission and absorption of radiant energy from a hydrogen atom? What significance these spectra have?

discuss the history of heron's fountain in 100-200 words

Review A 110 cm3 box contains helium at a pressure of 2.50 atm and a temperature of 120 ∘C. It is placed in thermal contact with a 180 cm3 box containing argon at a pressure of 3.60 atm and a temperature of 420 ∘C.  

What is the initial thermal energy of each gas? Correct answer: 41.8 J for He and 98.5 J for Ar

What is the final thermal energy of each gas?

How much heat energy is transferred, and in which direction?

What is the final temperature?

What is the final pressure in each box?

A sheet of glass is coated with a 501-nm-thick layer of oil (n = 1.42).

1.For what visible wavelengths of light do the reflected waves interfere constructively?

2.For what visible wavelengths of light do the reflected waves interfere destructively?

3.What is the color of reflected light?

4.What is the color of the most part of transmitted light?

consider a device to register osmotic pressure, in which it is placed a solution containing 20 grams of hemoglobin in a liter of solution in the right compartment and pure water in the left compartment is placed. Explain the phenomenon that occurs and determine the molecular weight of the hemoglobin if at equilibrium, the water height of the right column is 77.8 mm above the left column if the temperature remains at 35 ° C

-Do electric fields extend through the interior of an insulator in static equilibrium?

-Do electric fields extend through the interior of an conductor in static equilibrium?

-What is the relationship between electric field lines and equipotential lines?

6. [2pt]
In the lab Springs, a student sits on a bosun's chair suspended by a spring. If the spring
has a spring constant, k = 1020 N/m, and is stretched by 0.5 m, how
much energy is stored in the spring?

Correct, computer gets: 127.5 J

7. [2pt]
The student gets off the bosun's chair very carelessly and all the energy in the
spring is converted into the kinetic energy of the seat. The mass of the seat is
1 kg. Once the spring has fully contracted, what is the speed of the seat?

Answer:  

8. [2pt]
Unfortunately, the student was hit on the head by the seat as it flew up. Some of the kinetic energy of the seat will be converted into
gravitational potential energy; neglect this. Assume the impact speed of
the seat is the same as in the previous question. If the seat comes to rest in 0.01 s as
it hits the student's head, what force would the seat exert on the student's
head?

Be safe. Remember: get off the bosun's chair carefully!

Answer:  

I GOT QUESTION 6, BUT NOT 7 AND 8.

A long horizontal wire carries 26.0 A of current due north. The Earth's field 21.0 cm due west of the wire points north but downward, 44 ∘ below the horizontal, and has magnitude of 5.0×10−5T

What is the magnitude of the net magnetic field 21.0 cm due west of the wire?

What is the angle below the horizontal of the net magnetic field 21.0 cm due west of the wire?

8. Does the period of a simple pendulum depend on the amplitude of its motion? Explain.

a) A charge of 1C is affixed to the x axis at 20cm and a charge of 4C is affixed at -10cm, where must a charge of -10C be placed in order to have zero electrostatic force on it?

b) If instead, a charge of -3C is placed somewhere on the x-axis, where must it be placed so that the origin (0,0) will experience zero electric field?

Please include detailed NEAT explanation.

A sprinter accelerates at 3.08 m/s² for a certain number of seconds during a 100.0 meter race. She runs the rest of the race at top speed and finishes the race in 10.59 s. What is her top speed?