- #1
lylos
- 79
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Homework Statement
Newton's second law is given by [tex]\vec{F}[/tex]=[tex]\frac{d\vec{p}}{dt}[/tex]. If the force is always parallel to the velocity, show that [tex]\vec{F}[/tex]=[tex]\gamma^{3}m\vec{a}[/tex].
Homework Equations
[tex]p=\gamma m\vec{v}[/tex]
[tex]\frac{d\vec{v}}{dt}=\vec{a}[/tex]
[tex]\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]
The Attempt at a Solution
I figure all you need to do would be to find d/dt of p. After a couple tries, I'm still unable to get the result that it provides.