Conservation of Momentum of radioactive mass

In summary, the conservation of momentum of radioactive mass is a fundamental principle in physics that states that the total momentum in a closed system remains constant over time. It is important in understanding the behavior of particles during nuclear reactions and applies to both macroscopic and microscopic objects. It cannot be violated and is related to the concept of half-life in radioactive decay, as the rate of decay is determined by the equal and opposite momentum of particles released.
  • #1
Peter G.
442
0
A radioactive nucleus of mass 235 units traveling at 400 km/s disintegrates into a nucleus of mass 95 units and a nucleus of 140 units. If the nucleus of mass 95 units travels backwards at 200 km/s what is the velocity of the nucleus of mass 140 units?

Momentum before = Momentum After

Momentum before = mv = 235 x 400 = 94000
Momentum after = mv1+ mv2

94000 = (95 x -200) + (140v)
94000 = -19000 + 140v
94000 + 19000 = 140v
v=807.14 kg km/s

Is what I did correct?

Thanks,
Peter G.
 
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  • #2
It is correct, if that kg is removed from the unit of velocity.

ehild
 

FAQ: Conservation of Momentum of radioactive mass

What is conservation of momentum of radioactive mass?

The conservation of momentum of radioactive mass is a fundamental principle in physics that states that the total momentum of a closed system remains constant over time. This means that in any given system, the total momentum before and after a radioactive decay or nuclear reaction must be equal.

Why is conservation of momentum important in radioactive decay?

Conservation of momentum is important in radioactive decay because it helps us understand the behavior of particles during a nuclear reaction. It allows us to predict the direction and speed of particles after a decay or reaction occurs.

How does conservation of momentum apply to nuclear reactions?

In nuclear reactions, conservation of momentum applies to both macroscopic objects (such as a nucleus) and microscopic objects (such as subatomic particles). The total momentum before and after a nuclear reaction must be equal, taking into account the momentum of all particles involved.

Can conservation of momentum be violated in radioactive decay?

No, conservation of momentum is a law of physics and cannot be violated. In any given system, the total momentum must remain constant. If the momentum appears to change, it is due to external forces acting on the system, not a violation of the conservation of momentum.

How is conservation of momentum related to the concept of half-life in radioactive decay?

The concept of half-life in radioactive decay is related to conservation of momentum because it helps us understand the rate at which a radioactive substance decays. The half-life of a substance is the time it takes for half of the original amount to decay, and this is due to the equal and opposite momentum of the particles released during the decay process.

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