5-Three galaxies are aligned along an axis in order A, B, C. An observer in galaxy B is in the middle and observes that galaxies A and C are moving in opposite directions away from him, both with speeds 0.59c. What are the speeds of galaxies B and C as observed by someone in galaxy A?
c (galaxy B)
c (galaxy C)

6-A spacecraft traveling out of the solar system at a speed of 0.80c sends back information at a rate of 680 Hz. At what rate do we receive the information?

7-Find the force necessary to give a proton an acceleration of 3.0 1019 m/s2 when the proton has the following velocities (along the same direction as the force).
(a) 0.05c
N
(b) 0.5c
N
(c) 0.8c
N
(d) 0.92c
N

8-A particle initially has a speed of 0.48c.
(a) At what speed does its momentum increase by 1%?
c
(b) At what speed does its momentum increase by 10%?
c
(c) At what speed does its momentum increase by 100%?
c

1. State the conservation of momentum and kinetic energy in collisions in classical mechanics and relativisticmechanics
2. derive the relativistic kinetic energy.
3. Derive the total relativistic force as a function of momentum.
please show the solutions in detail, stepwise.

Two relativistic electrons are ejected simultaneously from a piece of potassium in opposite directions each is traveling with a speed of 0.5c with respect to the metal.
a) what is the velocity of electron 1 with respect to electron 2?
b) what is the velocity of electron 2 with respect to electron 1?

Using the relativistic expression for total energy E and the magnitude p of the momentum of a particle
a) Show that the two quantities are related by E^2=(p^2)(c^2)+[m(c^2)]^2
b) Use this expression to determine the linear momentum of a proton with a kinetic energy of 1000MeV.

Explain why relativistic effects can cause gold to have both (a) a lower oxidation number than either Ag or Cu (-1 in CsAu) and (b) a higher oxidation number than either Ag or Cu (+5 in AuF5 and +7 in AuF7)

This solution shows how to develop the algebra to determine the velocity of a nuclear particle fragment resulting from the fragmention of a nuclear particle into two fragments. An example is shown whereby a particle initially at rest fragments into two fragments one of mass (m1) = 1.67 x E-27 Kg. and velocity of (v1) = 0.8c, the

Consider a classical "degree of freedom" that is linear rather than quadratic: E = c|q| for some constant c. (An example would be the kinetic energy of a highly relativistic particle in one dimension, written in terms of its momentum.) Repeat the derivation of the equipartition theorem for this system, and show that the average

In math lab, plot how the graph of FORCE, MOMENTUM ENERGY, ACCELERATION and MASS in Newtonian physics will look compared to relativity physics( or at high velocity (v=c).
Please show detailed diagram.