The kinetic energy of a particle is equal to the energy of a photon. The particle moves at 6.1% of the speed of light. Find the ratio of the photon wavelength to the de Broglie wavelength of the particle. Take the speed to be non-relativistic.

A) At what angular frequency is the voltage amplitude across the resistor in anL-R-C series circuit at maximum value?
(Express your answer in terms of the variables L, C, and R.)

B) At what angular frequency is the voltage amplitude across the inductor at maximum value?

(Express your answer in terms of the variables L, C, and R.)

C) At what angular frequency is the voltage amplitude across the capacitor at maximum value?

(Express your answer in terms of the variables L, C, and R.)

A firehose must be able to shoot water to the top of a building 38.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.515 m³/s and shoots out of a round nozzle.

(a) What is the maximum diameter this nozzle can have?
1 __________ cm

(b) If the only nozzle available has a diameter twice as great, what is the highest point the water can reach?
2______________

When the first nuclear bomb was detonated, some scientists believed that a huge
nuclear chain reaction would occur, blowing the earth to pieces. Calculate the energy
that would be required to disassemble the earth completely into pieces totally
separate from each other.

So this is my assignment. My question is, what makes an object a good insulator? Does having a high specific heat alone make a good insulator? Water has a very high specific heat, would it make a good insulator for the material?

Please list off a bunch of common household items with why they are good insulators!

Objective: Construct an insulated device that is designed to retain heat. Heated water will be put into a beaker and the beaker will be put into the device and allowed to cool for 45 minutes.

Construction:

The device must fit within a 15.0 cm × 15.0 cm × 15.0 cm cube.

Devices may be constructed of and contain any materials except for the following prohibited materials: any type of foam, bubble wrap, commercial insulation, metal other than aluminum foil.

Within the device, you must be able to insert and remove a 250 mL standard, unaltered, empty Pyrex beaker.

The device must also easily accommodate the insertion of a thermometer probe all the way through to the bottom of the beaker via a hole at least 1.5 cm in diameter.

Devices may not contain any energy sources (e.g., no electrical components, small battery powered heaters, chemical reactions, etc.) to help keep the water warm.

All parts of the device must not be significantly different from room temperature.

Highest temperature after 45 minutes wins!

A baseball is hit 40 m/s at an angle of 30 degree. A 5 m high fence is 125 m away. Does it go over the fence?

Two adjacent natural frequencies of an organ pipe are found to be 550 Hz and 650 Hz. a.) Calculate the fundamental frequency of the pipe. b.) Is the pipe open at both ends or open at only one end? c.) What is the length of the pipe.

Please show your work and provide an answer thank you.

5. Other Solar Systems. Suppose we found a solar system with the properties described (note that these are not real discoveries!). In light of our theory of solar system formation, decide whether the discovery should be considered reasonable or surprising. Explain your answers.

A. A solar system has four large jovian planets in its inner solar system and seven

small planets made of rock and metal in its outer solar system.

B. A solar system has five terrestrial planets in its inner solar system and three jovian

planets in its outer solar system.

C. A solar system has ten planets that all orbit the star in approximately the same

plane. However, five planets orbit in one direction (counterclockwise) while the

other five orbit in the opposite direction (clockwise).

D. A solar system contains only comets and asteroids, but no large planets.

E. A solar system has four Earth-size terrestrial planets. Each of the four planets has a single moon that is nearly identical in size to Earth’s moon.

What is the minimum speed (relative to Earth) required for a rocket to send it out of the solar system?Note that you need to make use of Earth's speed to arrive at your result.

For a FCC crystal structure,

(a) Define three primitive vectors in the Cartesian Coordinates in the most symmetrical form. The lattice constant of FCC is ‘a’.

(b) From the above primitive vectors in the direct lattice, derive reciprocal primitive vectors in the Cartesian Coordinates.

(c) What is the structure of the reciprocal lattice? What is the length of the side of the cubic cell?

(a)A light-rail commuter train accelerates at a rate of 1.45 m/s². How long (in s) does it take to reach its top speed of 80.0 km/h, starting from rest?

s

(b)The same train ordinarily decelerates at a rate of 1.95 m/s². How long (in s) does it take to come to a stop from its top speed?

s

(c)In emergencies the train can decelerate more rapidly, coming to rest from 80.0 km/h in 8.30 s. What is its emergency deceleration in m/s²?

m/s²

Titan’s atmosphere contains a large amount of photosensitive methane. We knowbecause of basic physics and chemistry that there must be a source of methane onTitan that replenishes the atmospheric methane.

a) Describe what astronomers thought might be occurring on Titan before the Cassini/Huygensmission.

b) Describe the findings of the Cassini/Huygens mission that either supported or dis-proved the original hypotheses

1. on a warm day, a tube open on one end resonates at 51.3 cm and 85.8 cm when the subject to 500 Hz input. what is the velocity of sound at that moment, and what is the correction value of the tube?.

2. you are driving down the highway at 35 m/s when an ambulance comes up behind you, and then passes (you illegally do not slow down). The passenger in the seat next to you has perfect pitch and tells you that the apparent frequency of the ambulance dropped by 2.0% when the ambulance passed. How fast was the ambulance traveling? (Assume a speed of sound is 341 m/s)