# Special relativity A.P.French 6.8 (is there solution manuals for this book?)

In summary, a thrust-beam space vehicle uses a sail to feel the push of a laser beam from Earth. The total energy is conserved and the change in momentum and acceleration is zero. The solution manual for Special Relativity A.P. French can be found on the M.I.T website.

## Homework Statement

A thrust-beam space vehicle works by bearing a sort of sail which feels the push of a strong steady laser light beam directed at it from earth. If the sail is perfectly reflecting, calculate the mass of light required to accelerate a vehicle of rest mass M0 up to a fixed value of θ.

## Homework Equations

total energy is conserved, So

E=mc^2-(1/2)(M0+m)v^2=0

so, dE/dt=0 because energy is conserved.

## The Attempt at a Solution

dE/dt=0-2/2(M0+m)vdv/t=0

so (M0+m)=0, or m=M0.

it is known that the rest mass of photon has energy, but it's not known whether it will apply a force on the object it hits, from the equation, there is a change in momentum, but not in force. in fact, the change is momentum and acceleration is zero.

where can I find solution manuals for Special relativity A.P. French The M.I.T introductory physics series?

You can find solution manuals for Special Relativity A.P. French The M.I.T Introductory Physics Series on the M.I.T website.

## What is Special Relativity?

Special Relativity is a theory developed by Albert Einstein in 1905 to explain the relationship between space and time in the absence of gravity. It is based on two main principles: the principle of relativity, which states that the laws of physics are the same for all observers in uniform motion, and the principle of the constancy of the speed of light, which states that the speed of light is the same for all observers regardless of their relative motion.

## What is A.P.French 6.8?

A.P.French 6.8 is a specific chapter in the book "Special Relativity" by Anthony Philip French. This chapter discusses the concept of "Relativistic Dynamics" and includes topics such as the Lorentz transformation, mass-energy equivalence, and relativistic momentum.

## Is there a solution manual for this book?

There is not an official solution manual for the book "Special Relativity" by A.P.French. However, there are many online resources and study guides available that provide solutions to the practice problems and exercises in the book.

## What are some real-life applications of Special Relativity?

Special Relativity has numerous real-life applications, including the GPS system, particle accelerators, and nuclear energy. It is also essential for understanding the behavior of high-speed objects, such as spacecraft, and plays a crucial role in modern physics and cosmology.

## What are the key differences between Special Relativity and General Relativity?

The main difference between Special Relativity and General Relativity is that General Relativity includes the effects of gravity, while Special Relativity only applies to objects in inertial frames of reference. Additionally, General Relativity is a more comprehensive theory, as it explains the relationship between space, time, and gravity, while Special Relativity only deals with the relationship between space and time.

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