Calculating Particle Momentum in High Energy Physics Experiments

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In high energy physics experiments, the momentum of charged particles can be calculated using the equation p = Bqr, where p represents momentum, B is the magnetic field strength, q is the charge of the particle, and r is the radius of the circular path the particle takes. When a charged particle moves through a magnetic field, it follows a circular trajectory, allowing for the measurement of r in a detector. By knowing the values of B and q, researchers can determine the momentum by substituting these values into the equation. This method provides a reliable way to analyze particle behavior in experiments. Accurate momentum calculations are essential for understanding particle interactions and properties in high energy physics.
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In particle physics experiments, high energy particles are created and it desirable know the momentum of each particle. Describe how this can be done if the charge of the each particle is known
 
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In physics, there is an equation p=Bqr
Where:
p= momentum
B= magnetic field
q= charge
r= radius of circle

What this means, is that when you have a charged particle in a magnetic field, that particle will move in a circular path of radius r. In a detector, you know the values of B and q. By performing the experiment you can experimentally find the value of r. Then you just plug in the equation and solve for p.
 
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}...
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