Two cars collide at an intersection. Car A, with a mass of 2000 kg , is going from west to east, while car B, of mass 1400 kg , is going from north to south at 14.0 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 60.0 ∘ south of east from the point of impact. How fast were the enmeshed cars moving just after the collision? How fast was car A going just before the collision?

An 7.5 g ice cube at −10°C is put into a Thermos flask containing 150 cm³ of water at 21°C. By how much has the entropy of the cube–water system changed when equilibrium is reached? The specific heat of ice is 2220 J/kg · K. (The latent heat of fusion for

water is 333 kJ/kg.)

A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.655 m in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.190 m at each side of the wheel, and a woman holds the ends of the shaft in her hands. The mass of the system is 9.50 kg ; its entire mass may be assumed to be located at its rim. The shaft is horizontal, and the wheel is spinning about the shaft at 4.90 rev/s .

a) Find the force each hand exerts on the shaft when the shaft is at rest.

b) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 4.80×10^?2 rev/s .

c) Find the force each hand exerts on the shaft when the shaft is rotating in a horizontal plane about its center at 0.320 rev/s .

d) At what rate must the shaft rotate in order that it may be supported at one end only?

(a) The radioisotope 40K constitutes 0.0117% of naturally occurring potassium and has a half life of 1.28´109 years. Calculate the activity of a 1.00 kg sample of potassium chloride (KCl). You may assume that 40K is the only radioisotope present in the sample. A mole of potassium chloride has a mass of 74.55 g

Hint: You will need to calculate the number of 40K atoms in the sample.Type or paste question here

(b) The plutonium batteries in Voyager 1 had a power output of 470 W when the spacecraft was launched in 1977. After how many years following launch will the power output have dropped to 300 W?

As a red giant, the Sun’s luminosity will be about 2000 times greater than it is now. Calculate the surface temperature of the Earth under these conditions assuming that the Earth is still at 1 AU and that the photosphere of the sun is well within 1 AU.

the answer should be about 1900 K but im not sure what am i getting wrong in my calculations, please help!

The

cat righting reflex

is a cat's innate ability to orient itself as it falls in order to land on its feet. The

righting reflex begins to appear at 3

–4 weeks of age, and is perfected at 7 weeks. The minimum height

required for this to occur in most cats would be around 30 cm.

You are part of an engineering team trying to reproduce this in a mechanical cat. Your prototype, aptly

named Katt, when dropped motionless, upside down from 2.5 m, can right itself before it hits the ground

by rotating its “tail”. Katt’s body is a solid cy

linder 30 cm in length and 15 cm in diameter, with a mass of

3.0 kg. Attached to the center of one end of the body is Katt's tail, a 20

-cm long rod which extends out

perpendicular to Katt's body and has only 10% the mass of the body. The tail will rotate due to a s

mall

electric motor in the body that produces a constant torque. In order to order the piece, determine the

angular speeds it will need to deal with.

A bullet of mass m = 29 g is fired into a wooden block of mass M = 4.9 kg as shown in the figure below. The block is attached to a string of length 1.5 m. The bullet is embedded in the block, causing the block to then swing as shown in the figure. If the block reaches a maximum height of h = 0.27 m, what was the initial speed of the bullet?

Charge q1= +0.225 nC is at the origin. Charge q2 = -0.913 nC is at y= +2.44 cm. What is the magnitude and direction of the acceleration felt by an electron at x = +4.15 cm?

Please answer the following question correctly :

3. Answer the following, assume we are looking down at the solenoid:
a. If the North Pole enters the solenoid first, the field lines point (.......) the
solenoid.
i. The solenoid will (Choose an item). the magnet and induce a field that points
(Choose an item). the solenoid.

b. If the South Pole enters the solenoid first, the field lines point (Choose an item). the
solenoid.
i. The solenoid will (Choose an item). the magnet and induce a field that points
(Choose an item). the solenoid.

c. If the North Pole leave the solenoid first, the field lines point (Choose an item). the
solenoid.
i. The solenoid will (Choose an item). the magnet and induce a field that points
Choose an item. the solenoid.
d. If the South Pole leaves the solenoid first, the field lines point (Choose an item). the
solenoid.
i. The solenoid will (Choose an item). the magnet and induce a field that points
(Choose an item). the solenoid.

e. The solenoid will always (Choose an item). the magnet at the top of the solenoid and
(Choose an item). the magnet after it has passed through.

4. Why is the graph not symmetric, i.e. why is the first peak wider and shorter than the
second? Look at the graph axes.
5. Why is there a section of the graph between the 2 peaks with no induced emf? What does
this physically correspond too?
6. Why are the graphs inverses of each other, that is to say, why does one graph start with
negative voltage while the other begins positive?

Examples of 1st law thermodynamics in our daily lives

PLEASE ANSWER THIS QUESTION WITH THESE VALUES NOT ONE YOU ANSWERED WITH DIFFERENT VALUES!!! THANKS

A radio broadcast antenna is 36.00 km from your house. Suppose an airplane is flying 2.200km above the line connecting the broadcast antenna and your radio, and that waves reflected from the airplane travel 85.00 wavelengths farther than waves that travel directly from the antenna to your house.

Do you observe constructive or destructive interference between the direct and reflected waves? (Hint: Does a phase change occur when the waves are reflected?)

The situation just described occurs when the plane is above a point on the ground that is two-thirds of the way from the antenna to your house. What is the wavelength of the radio waves? answer should be in m

A solenoidal coil with 28 turns of wire is wound tightly around another coil with 320 turns. The inner solenoid is 21.0cm long and has a diameter of 2.20cm . At a certain time, the current in the inner solenoid is 0.150Aand is increasing at a rate of 1600A/s

Part A
For this time, calculate the average magnetic flux through each turn of the inner solenoid.

Part B

For this time, calculate the mutual inductance of the two solenoids;

Part C

For this time, calculate the emf induced in the outer solenoid by the changing current in the inner solenoid.

A crate is given an initial speed of 2.6 m/s up the 29.0 ∘ plane shown in (Figure 1). Assume μk = 0.12.

Part A: A spherical wave with a wavelength of 4.0 m is emitted from the origin. At one instant of time, the phase at r = 8.0 m is πrad. At that instant, what is the phase at r = 7.5 m ? Express your answer to two significant figures and include the appropriate units.

Part B: What is the phase at r = 9.5 m at the same instant? Express your answer to two significant figures and include the appropriate units.

2. The sound intensity 54.0 m from a wailing tornado siren is 0.140 W/m2 .

Part A: What is the intensity at 1150 mm ? Express your answer with the appropriate units.

Part B: The weakest intensity likely to be heard over background noise is ≈1μW/m2. Estimate the maximum distance at which the siren can be heard.

Express your answer with the appropriate units.

I was wondering where I can get a more or less complete set of a galaxy to test an n-body simulation (preferably two colliding galaxies with approx 300k to 1M elements).

Is it possible to extract this data from a public source like Nasa? Or does it make more sense to just generate the data?

Note: I Found the SDSS Skyserver website, but I don't think it's possible process this data to get useful initial conditions and a more or less complete galaxy.