How Does Work Affect the Energy of a Helium Nucleus?

  • Thread starter Thread starter ohheytai
  • Start date Start date
  • Tags Tags
    Energy
AI Thread Summary
The discussion revolves around calculating the energy values of a helium nucleus under the influence of an electric force. The initial values provided include a particle energy of 8.897e-10 J, rest energy of 3.06e-10 J, and kinetic energy of 5.83e-10 J. The user seeks assistance in recalculating these values after an electric force does 4.2x10-9 J of work on the nucleus, emphasizing the need for relativistic equations. Key equations mentioned include the rest energy formula and the total energy calculation, which incorporates the relativistic factor. The user ultimately resolves the issue independently, indicating a successful understanding of the concepts.
ohheytai
Messages
81
Reaction score
0
A helium nucleus has mass 3.4e-27 kg. If its speed |v| is 0.939c (that is, |v|/c = 0.939), what are the following values?
particle energy = 8.897e-10 J

rest energy = 3.06e-10J

kinetic energy = 5.83e-10J

i found those but now i can't figure this out:

Next an electric force acts on the helium nucleus and does 4.2x10-9 J of work on the particle. Now what are the following values?
particle energy = J

rest energy = J

kinetic energy = J

please help me!
 
Physics news on Phys.org
You have to use the relativistic equations

Rest energy = E = M * C * C
Total energy = Rest energy + K.E
(No, K.E is not 0.5 m*v*V!)

As the v/c = 0.939, we can not ignore relativistic effects

relativistic factor g = 1/sqrt((1- (v/c)^2)

So total energy = rest energy * g

K.E = total energy - rest energy
 
i know that idk how to do it when there is a force i already solved for that

nvm figured it out thanks
 
Last edited:

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Kinetic Energy for particles (alpha decay)
Replies
2
Views
3K
Is the Photoelectric Effect Proof That Light Is a Particle?
Replies
35
Views
3K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
2K
How Does an Electric Force Alter the Energy of a Boron Nucleus?
Replies
1
Views
3K
Alpha Particle & Gold Nucleus Collision
Replies
17
Views
14K
Potential difference of helium nucleus question
Replies
2
Views
8K
Solving a Motion Problem with Work-Energy Theorem
Replies
23
Views
2K
Avg Power in a Rotational Energy/Work Problem
Replies
6
Views
1K
A block dropping onto a spring system
2
Replies
58
Views
2K
What's the source of increase in rotational energy of carousel?
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top