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Equivalence Principle

The equivalence principle deals with the equivalence of gravitational and inertial mass. The equivalence principle states that gravity is not able to recognized from uniform acceleration.

Newton’s equation of motion in a gravitational field is:

(inertial mass)*(acceleration)=(intensity of the gravitatioal field)*(gravitational mass)

If an observer discovers the presence of a force that acts on every objects in direct proportion to the inertial mass of each object, the observer is in a frame of reference which is accelerated.

There are three forms of the equivalence principle: weak (Galilean), Einsteinian, and strong. The weak equivalence principle is known as the universality of free fall or the Galilean equivalence principle. The strong EP covers the bodies with gravitational binding energy. The weak EP assumes falling bodies are bound by a non-gravitational force.

The force on M1 due to the gravitational field of M0 is:

F_1= (M_0^act M_1^pass)/r^2

Conversely, the force on a second object of arbitrary mass2 due to the gravitational field of mass0 is:

F_2= (M_0^act M_2^pass)/r^2

Determine Electric Field & Calculate Speed of Electrons

Please see attached file. For 1st problem, I used the formula: E1= Kq1/r2 = (8.99 x 10^9 NM/C^2)(-6.75 x 10^-6 C)/ (2.45 x 10^2 m)^2 E1= -10.109 x 10^7 N/C which = -1.01 x 10^8? Is this right? I had to convert r to p(d)from 24.5cm into m (scientific notation) - Not sure if I converted it correctly? 24.5 cm = 2.45 x 10^2 m?

Postulates of the Special Theory of Relativity

1. State and explain the postulates of the special theory of relativity. 2. Suppose a person riding on top of a freight car shines a searchlight beam in the direction in which the train is traveling. Compare the speed of the light beam relative to the ground when: a.The train is at rest. b. The train is moving. How do

Vibrational frequency, Earth mass, harmonic function, hydrogen atom degeneracy

See attached file for full problem description and clarity in symbols. 1. a) In the infrared spectrum of H79Br, there is an intense line at 2630 cm¡1. Calculated the force constant of H79Br and the period of vibration of H79Br. b) The force constant of 79Br79Br is 240 N ¢m¡1. Calculated the fundamental vibrational freque