Forces on High Velocity Object - Newtonian Formula

[johann1301]

Imagine a sequence where an object with mass M₁ is traveling V=V₁=10m/s straight through empty space relative to reference frame P. Since V₁ << C, we can ignore relativistic effects. This implies that any force that may be applied too the object would be given by the Newtonian formula F=M₁A. This is true in all possible directions the force F may be applied.

Now, i want to concentrate on 3 different directions the force may be applied when V=V₂≈C. I wish too know what the formulas for the forces are when the force is applied;

(i) perpendicular too V₂
(ii) in the same direction as V₂
(iii) in the opposite direction as V₂

Important: The force is in all three cases applied from reference frame P.

 

[Nugatory]

Here you go: http://en.wikipedia.org/wiki/Mass_in_special_relativity#Transverse_and_longitudinal_mass

Your second and third cases are the same except for the sign of the force (positive when acting in the same direction, negative when acting in the opposite direction)

 

[johann1301]

After what i can understand from your link; the answer to my question would then be...

(i) perpendicular too V₂
F=MγA

(ii) in the same direction as V₂
F=Mγ³A

(iii) in the opposite direction as V₂
F=-Mγ³A

(where γ is the Lorentz factor)

 

[Nugatory]

That's it!

 

[johann1301]

Thank you!