Special Relativity problem -- An electron travels at 0.422c....

AI Thread Summary
An electron traveling at 0.422c requires calculations for relativistic momentum, kinetic energy, rest mass energy, and total energy. The relativistic momentum is derived using the formula p = Ɣmu, where Ɣ is the Lorentz factor. The attempt at a solution indicates that the momentum calculation yields approximately 0.551 kg·m/s when using the electron's rest mass. Further calculations for kinetic energy, rest mass energy, and total energy are suggested but not detailed. Accurate application of relativistic equations is crucial for determining these values.
Rayonna
Messages
1
Reaction score
0

Homework Statement


An electron travels at 0.422c. Calculate the following.
(a) the relativistic momentum
kg · m/s

(b) the relativistic kinetic energy
J

(c) the rest mass energy
J

(d) the total energy of the electron
J

Homework Equations


p= Ɣmu
p= mv/ sqrt(1-v^2/c^2)

The Attempt at a Solution


a.
p= 1/ sqrt(1-.422c/c^2) *(.422c)(0)
= 5.51e-01
 
Physics news on Phys.org
use the rest mass of the electron to get correct momentum.
write out the other relations/formula to calculate the other parameters.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Solution of basic special relativity problem
Replies
4
Views
1K
Find second object's velocity in relativity
Replies
2
Views
1K
Special Relativity Exercise (A.P. French)
Replies
28
Views
4K
Finding relativistic mass and energy of an electron
Replies
14
Views
3K
Special relativity and acceleration
Replies
3
Views
1K
What is the length of an electron's journey in its own frame of reference?
Replies
2
Views
1K
Special relativity problems — More details below
Replies
6
Views
1K
Relativity -- Momentum and energy
Replies
6
Views
2K
How Does the Relativistic Rocket Equation Describe Velocity?
Replies
2
Views
2K
Collisions in special relativity
Replies
2
Views
904

Hot Threads

Recent Insights

Back
Top