Find the mass of two decayed fragments

  • Thread starter Thread starter Miri
  • Start date Start date
  • Tags Tags
    Mass
Miri
Messages
36
Reaction score
0

Homework Statement


An unstable particle with a mass equal to 3.34*10^-27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.987c and -0.868c. Find the masses of the fragments.


Homework Equations


conservation of momentum: 0=(m1*0.987c)/sqrt(1-(0.987)^2-(m1*0.868c)/sqrt(1-(0.868)^2

conservation of total energy: 3.34*10^-27 kg=m1/sqrt(1-(0.987)^2+m2/sqrt(1-(0.868)^2
when I solve this for m1 or/and m2 it gives me the wrong result.

Solutions:
mfaster=2.51*10^-28 kg
mslower=8.82*10^-28 kg
 
Physics news on Phys.org
Are those solutions you gave the ones you got that were wrong, or the correct ones? Because I get the same answer as the solutions you gave using your equations.
 
Last edited:
These are the correct solutions (not mine). Now, after calculating it a hundred times I also got the correct result. Thank you
 

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
View full post »

Thread 'Help to convert units of a simple formula'

The value of H equals ## 10^{3}## in natural units, According to : https://en.wikipedia.org/wiki/Natural_units, ## t \sim 10^{-21} sec = 10^{21} Hz ##, and since ## \text{GeV} \sim 10^{24} \text{Hz } ##, ## GeV \sim 10^{24} \times 10^{-21} = 10^3 ## in natural units. So is this conversion correct? Also in the above formula, can I convert H to that natural units , since it’s a constant, while keeping k in Hz ?
View full post »

Similar threads

Mass Transfer in a Binary Star System
Replies
2
Views
2K
How Do You Calculate the Original Mass in a Relativistic Disintegration Problem?
Replies
2
Views
2K
What Was the Speed of the K0 Particle Before Decay?
Replies
4
Views
3K
How to find the equilibrium position of three masses (two of them fixed)?
Replies
4
Views
2K
Lagrangian of two masses connected by a pulley on inclined p
Replies
2
Views
5K
Find second object's velocity in relativity
Replies
2
Views
1K
A particle at rest decays into 2 particles
Replies
1
Views
3K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
I Two-Mass Oscillator: Plotting Amplitudes Over Frequency in Hertz
Replies
10
Views
2K
Maximum and Minimum Kinetic Energies following decay
Replies
2
Views
5K

Hot Threads

Recent Insights

Back
Top