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# Energy

### Amplitude of Vibration Question

A 0.50-kg mass is attached to a spring with a spring constant of 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the amplitude of vibration?

### Finding the Total Energy at the Equilibrium Position

A 0.50-kg mass is attached to a spring with a spring constant of 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

### Speed of the +Q charges

Two identical charges (each with charge q= 5 &#956;C) that are fixed in deep space at the points (-a,0) and (+a,0) along the x-axis there a=35 cm. A third charge Q= 7 &#956;C (initially rests at the origin and having a mass of m=1 gram) is given a slight push in the positive y direction. This caused the +Q charge to start moving

### Energy conservation and momentum conservation

Two point charges having charges q1=5 µC and q2=7 µC and masses m1=2 grams and m2=3 grams, respectively, are released (in deep space) from rest when they are r=21 cm apart. Determine how fast each charge will be moving when they are very far apart frome each other.

### Determining Speed and Acceleration of Each Sphere

Two spheres, one of mass m1=20000kg and the other mass m2=30000kg both have a radius of R=1.675m start from rest (in deep space) with their centers a distance of 4R apart. Determine the speed of each sphere when they collide. Also, determine the acceleration of each sphere at the moment they collide.

### A Discussion On Compressed Springs And Spring Constants

In a physics lab experiment, a compressed spring launches a 22g metal ball at a 35 degree angle. Compressing the spring 19cm causes the ball to hit the floor 2.0m below the point at which it leaves the spring after traveling 5.4m horizontally. What is the spring constant? k = __________________ N/m

### Energy Savings: Cycling vs. Driving

What energy savings could be achieved if an extra 1000 people cycled to the work each day, as opposed to driving?

### Temperature Increase from Kinetic Energy

An 821kg car is moving at 29m/s when the brakes are applied. There is a total of 23.4kg of iron in the brake pads and rotors to absorb the heat. Once reaching a complete stop, what is the temperature change in the pads and rotors?

### Harmonic Oscillator Integration

Please see the attached file for the full problems. 1. Show by integration that the first two energy eigenstates for the Harmonic Oscillator are orthogonal functions. 2. For eignstate &#968;_2 (x) of the harmonic oscillator, show that...

### the change in gravitational potential energy

P7. A 15.0-kg object is moved from a height of 7.00 m above a floor to a height of 15.0 m above the floor. What is the change in gravitational potential energy? Please provide a detailed explanation.

### Power of an Engine.

Tom drives a car to climb a 100 m up hill road with a slope of 30 degrees(from horizontal). The total mass of Tom and the car is 2000 kg. Tom wants to drive through this up-hill road in 10 s. You can assume g = 9.8 m/s^2, the friction, air drag, rolling resistance can be ignored. Please determine the engine power needed for T

### Internal energy of the gas system of a cylinder divided

Please refer attached file for Proper format of symbols. A cylinder is close at both ends and has insulating walls. It is divided into two compartments by a perfectly insulating partition that is perpendicular to the axis of the cylinder. Each compartment contains 1.00 mol of oxygen, which behaves as an ideal gas with ?=7/5.

### Internal Energy of a Gas System: Partition, Conservation

I try to simplify my problem here. This is the place where I may have some misunderstanding in the adiabatic process. Consider a uniform cylinder with insulated wall cylinder that has a very thin and mass less partition at middle divide it into two sections. The left section contains gas molecules and the right side is attached

### Falling Rod on Smooth Floor (CM Coordinates)

Please see attached. I know this problem sounds very strange and perhaps counter-intuitive, which is why I am asking it. I need to solve this problem a specific way, as given in the attached file, using the provided coordinates. Please do not attempt to solve this problem with anything other than the coordinates given. I hav

### Balloon Filled with Hot Gas

See the attachment and please show all work.

### 2nd Law of Thermodynamics and Gibbs Free Energy

Please show all work. Using the 2nd law of Thermodynamics and the definition of the Gibbs free energy, derive a relationship between ∆Suniv and ∆G.

### In the following express your answer in terms of eV/c and kg m/s. For photons, you may used the expression E=pc.

In the following express your answer in terms of eV/c and kg m/s. For photons, you may used the expression E=pc. Find the momentum of: a) 10.0 MeV gamma ray b) 25 keV X-ray c) 1.0 micro m infrared photon d) 150 MHz radio wave photon

### Nucleus of helium breaks up from rest into a nucleus

A nucleus of helium with mass 5 amu breaks up from rest into a nucleus of ordinary helium (mass = 4 amu) plus a neutron (mass = 1 amu). The energy liberated in the break-up is 0.89 MeV, which is shared (not equally) by the products in the form of kinetic energy. a) Using the conservation of momentum find the kinetic energy of

### Tunneling Time and Probability of an Electron in a Square Well

Imagine an electron trapped in a well that has walls that are 5nm thick and 10eV high and is 10nm wide. calculate the probability of tunneling for an electron with 0.5eV of kinetic energy. Now, determine the number of times the electron would hit a wall each second. using these two pieces of information determine how long it wou

### Quantum Mechanics (nanowire problem)

Given a Nanowire with cross sectional dimensions of 10 nm x 10 nm, what momentum would an electron in the ground state need in order to possess the same energy as a stationary electron (zero momentum) in the n=1,2 state? I need step-by-step solution please.

### P-N Junction Energy Level Diagrams

create a pn junction by ion implanting dopant atoms(opposite conductivity to original which was silicon doped with antimony at 10^16cm-3) equivalent to a dopant concentration of 10^18cm-3. carrier reccombination lifetimes in silicon sample is po=no=5us. the sample is 1mm long and area of A = 10^-4cm-2. if the pn junction has a

### Explaining a scatter graph

attached is a graph showing cross section vs. proton energy. The curve is basically , I believe, a probability plot that shows the most likely proton energy that will result in capture...if this is wrong please correct me. My question is what causes the "scatter" in the data i.e. the peaks and valleys. Is it just experimenta

### PN Junction - explanation and uses

Describe how a pn junction works and how it is used in diodes, LEDs and lasers.

### Explanation of entropy

Describe what entropy is and give its statistical and classical definition.

### Orbiting Electron Problem with Angular Momentum

If an electron can orbit a proton only in orbits having angular momentum h/(2`pi), 2 * h/(2`pi), 3 * h/(2`pi), ... , n * h/(2`pi), ..., then what is the radius of the closest possible orbit? How many deBroglie wavelengths are required to span the circumference of this orbit? What are the radii of the two next-closest orbits? Wha

### Energy Release Problem

A hypothetical atom with negligible kinetic energy has a mass of 194 amu. It undergoes a beta decay. The remaining atom has atomic mass 193.5 amu. What is the kinetic energy and/or wavelength (whichever is more appropriate) of the emitted particle, assuming that the kinetic energy of the remaining atom is negligible? How much en

### Energy per Unit Length of the Wave

At clock time t the y position of the left-hand end of a long string is y = 1.74 cm * sin ( ( 4 `pi rad/s) t ). The string extends along the x axis, with the origin at the left end of the string, which is held under tension 49 Newtons and has mass per unit length 6 grams/meter. The motion of the left end creates a traveling wave

### Using Energy Considerations to Determine the Velocity Water Will Flow

Describe the manner in which one would use energy considerations to judge the velocity with which water will flow from a hole in a large container if the pressure difference between the inside and outside of the container is 3100 N/m^2, and if the water inside the container is effectively stationary. This can be done symbolical

### One Dimensional Simple Harmonic Oscillator Potential

A particle with mass m is in a one dimensional simple harmonic oscillator potential. At time t=0 it is described by the state Ï?=b|Ï?_0+c|Ï?_1 Where Ï?_0 and Ï?_1 are normalised energy eigenfunctions corresponding to energies E_0 and E_1 and b and c are real constants. Find b and c that (x)-(expectation value) is as

### Acceleration of blood in vasculature; elevator springs energy

See attached file for the diagram. 1. The diagram shows the acceleration of blood in the vasculature versus time in seconds. Give the time at which the blood is moving with the maximum velocity. Explain your answer. 2. All modern elevators feature safety mechanisms. For example, if an elevator cable breaks, the falling el