Why is the Electron's Momentum Higher in Special Relativity?

[JDiorio]

Homework Statement

Why is the value of the electron's momentum according to special relativity larger than that predicted by Newtonian mechanics?

A. At high speeds, the electron responds to forces and collisions as if its mass
were greater than the rest mass
B. At high speeds, the total momentum of two colliding particles is not conserved
C. Special relativity only applies at speeds close to the speed of light

Homework Equations

p= m(Vo)/sqrt(1-beta^2)

The Attempt at a Solution

I believe that the answer is A because as the velocity of an object approaches the speed of light, the momentum increases because its mass begins increase. So therefore at high speeds it would act as if its mass is greater than if it were at rest. Please let me know if this is the correct answer. Thank you

 

[Chewy0087]

you're correct, at high speeds it's mass energy is greater than that of it's rest mass, so it's mass (and therefore momentum) increases, also seen by $$E = \frac{mc^2}{root(1-B^2)}$$

 

[Cryphonus]

Homework Statement

Why is the value of the electron's momentum according to special relativity larger than that predicted by Newtonian mechanics?

A. At high speeds, the electron responds to forces and collisions as if its mass
were greater than the rest mass
B. At high speeds, the total momentum of two colliding particles is not conserved
C. Special relativity only applies at speeds close to the speed of light

Homework Equations

p= m(Vo)/sqrt(1-beta^2)

The Attempt at a Solution

I believe that the answer is A because as the velocity of an object approaches the speed of light, the momentum increases because its mass begins increase. So therefore at high speeds it would act as if its mass is greater than if it were at rest. Please let me know if this is the correct answer. Thank you

Well it is true but there is something that is not fully clear here;

Statement C is also right, if an object is not close to the speed of light the change in its mass can be neglectible,it is just so little.But it is still appliable.So i guess the answer is A but in my opinion statement C should be clearer anyway...

 

[JDiorio]

thanks a lot for everyone's help!

 

[Redbelly98]

Glad it worked out. I solved this by process of elimination; without thinking much about it B and C are false statements.