### Description of motion of a test particle in the non-null electromagnetic field.

General Theory of Relativity. Description of motion of a test particle in the non-null electromagnetic field.

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General Theory of Relativity. Description of motion of a test particle in the non-null electromagnetic field.

Find the Lagrangian function. Please see the attachment. The bottom part of the attachment that got cut off just says "of motion of the particle."

A cylinder contains a mixture of helium and argon gas in equilibrium at a temperature of 152 degrees Celsius. a) What is the average kinetic energy of each type of molecule (J/molecule)? b) What is the rms speed of each type of molecule? (m/s)

An example says, Na=10^18cm^-3 Nd=10^16cm^-3 Dp=10cm^2/s Dn=25cm^2/s tpo=10^-7s tno=10^-7s "We can then calculate the following parameters:" Lp=1.0x10^-3cm Ln=1.58X10^-3cm pno=2.25x10^4cm^-3 npo=2.25x10^2cm^-3 How were the lengths and minority carrier concentrations derived from the above information? And math

A car maintains a maxiumum speed of 20 meters per second on an uphill road at an angle of 30 degrees. The weight of the car is 10,000 newtons. Determine (a) Power needed to maintain the speed uphill in Kw. (b) Minimum time it will take to accelerate from rest to 30 meters per second on a level road. (c) Max speed it will b

"A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5120 revolutions per minute. Find the kinetic energy stored in the flywheel."

Your company is designing a desk-top sized proton accelerator, using a 500MN/C superconducting magnet to hold the protons in a circular path. Estimate the maximum kinetic energy that your accelerator can give protons. Express your answer in the conventional particle physics unit of electron-volts, where 1 eV=1.6*10^-19J. For

Problem: m1 starts from rest at height h. At the bottom of the frictionless slope stands mass m2. m1 is then let go, and collides with m2 an elastic collision. What will be the final height m1 will attain after recoiling from m2?

In the high jump, the kinetic energy of an athlete is transformed into gravitational potential energy without the aid of a pole. With what minimum speed must the athlete leave the ground in order to lift his center of mass 2.00 m and cross the bar with a speed of 0.670 m/s?

A child's toy consists of a piece of plastic attached to a spring. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 90 g and rises to a maximum height of 50.0 cm, estimate the force constant of the spring (in N/m). I need help on which equation/formula to use a

"The launching mechanism of a toy gun consists of a spring of unknown spring constant. If the spring is compressed a distance of 0.139 m and the gun fired vertically, the gun can launch a 25.1g projectile from rest to a maximum height of 24.5 m above the starting point of the projectile. Neglecting all resistive forces, determin

"A 48.5 kg student climbs a 5.90 m long rope and stops at the top. What must her average speed be in order to match the power output of a 140 W lightbulb?" Here's how I approached this problem: Since 1 W = 1 J/s, I set KE = 140 J. Then, v^2 = KE/((.5)m) = 140/24.25 = 5.77 Then v = 2.4 m/s But that's not the right an

A 750 kilogram automobile is moving at 20.0 meters per second at a height of 5.0 meters above the bottom of the hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side unitl it comes to rest. Ignoring frictional forces and air resistance, what is the value of "h", the highes

A 80kg man jumps out of a plane at a height of 1500m and v=4.5m/s^2 How much energy is lost? (assume no wind resistance)

A baseball is thrown from the roof of a 120 ft tall building with an initial velocity of magnitude 60 ft/s and at an angle of 37 degrees above the horizon. 1. what is the speed of the ball just before it strikes the ground using energy methods? 2. What would be the answer to the first part if the initial velocity was at

The lifetime of a molecule in a certian electronic state is 10e-10 s. What is the uncertianty in energy of this state? Give the answer in J and in J/mol.

Two railroad cars, each of mass 6500kg and traveling 95 km/h collide head-on and come to rest. How much thermal energy is produced in this collision?

A particle at rest is attracted toward a center of force according to the relation F=-mk^2/x^33. Calculate the time required for the particle to reach the force center from a distance d.

SEE ATTACHMENT #1 for a diagram of parameters of the event. A spring is .66 m long when it contains no energy When a stone with mass M= 8.5 kg is placed on the spring it shortens by b= .06 m then supports the stone in equilibrium. The stone is now pushed down an additional d= .38 m. When released, the stone is projected up

An object is positioned at an initial angle on a frictionless spherical shell. It is then let go, and starts sliding on the shell. In what final angle the object will break free from the shell? the solution should be in terms of the initial angle.

SEE ATTACHMENT #1 for a diagram showing parameters. A rock starts from rest then slides distance L= 5 m down a concave hill to a point which is h= 3 m below starting point. During the slide, Q= 111 joules of heat are generated, and the final speed is V= 4.8 m/sec. PART a. Find the average friction force. PART b.

While in orbit about the earth, a space shuttle's mass is 80,000-kg and its speed is 7,900 m/s. What is its kinetic energy?

A 3,000-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 9 m/s. What was the original speed of the truck before the collision?

Which has the larger linear momentum: A 2,000-kg houseboat going 5 m/s or a 600-kg speedboat going 20 m/s?

A 0.4kg ball moving with speed of 3m/sec collides with a 0.6kg mass initially at rest. If the two particles stick together during the collision, find the momentum, velocity, and kinetic energy of the system after the collision.

A small particle slides along a frictionless wire. If the particle's speed at point A is 8.85m/sec how fast is it moving at point B if it must go up a 2m incline?

A stone is dropped from a height of 100m. At what height is half of its energy potential and half kinetic? What is the speed of the stone at this height?

Approximately 4X10^9kg of matter is converted into energy each second in the sun. Find the power output of the sun.

1. A helicopter has blades of length 3.0m, rotating at 2.0rev/s about a central hub. If the vertical component of Earth's magnetic field is 5.0*10^-5T, what is the emf induced between the blade tip and the central hub? 2. A bolt of lightning depicted in a picture passes 200m from a 100-turn coil oriented as shown. If the cu

PART ONE: According to the Bohr model of the atom, an electron cannot move from a lower energy orbit into a higher energy orbit: A) abruptly B) spontaneously C) unless it gains exactly enough energy D) unless it loses exactly enough energy PART TWO: No two electrons in an atom can have the same: A) orbit