- #1

PhysicsLord

- 4

- 0

## Homework Statement

A particle flies along in the positive +x direction. It has a constant force F applied 30º clockwise to the x-axis.

It is moving at .6 c. What is the angle of acceleration?

## Homework Equations

a = F/(mγ

^{3})

## The Attempt at a Solution

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I'm pretty sure I know how to do this problem.

I expect that arctan

_{-1}(a

_{y}/a

_{x}) should give me the answer.

Now for a

_{x}, I'm pretty sure the equation above works fine. It's what my textbook gave me. I also agree with the derivation. Nonetheless, it only applies to particles accelerated parallel to the direction of the velocity.

So a

_{x}= Fsin(30)/mγ

^{3})

Now, I'm almost certain that the equation should be different for a

_{y}. Otherwise, a

_{y}/a

_{x}would just have a lot of cancellation and be sin(30)/cos(30) = tan(30) --> angle of acceleration = tan

^{-1}(tan(30)) = 30, which I don't think is right (otherwise the question would be a useless one to ask).

I tried a couple of different things to find a

_{y}, but I couldn't find anything anywhere (be it online or in my head) that told me what the effect of velocity is on a acceleration when it is parallel to the force.