Max Force on Protons at 1000km/s

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The discussion revolves around calculating the maximum electrical force between two protons moving towards each other at a velocity of 1000 km/s. The key equations involved are the kinetic energy formula and Coulomb's Law for electrical force. The user successfully calculated the kinetic energy but is unsure how to determine the minimum separation distance needed for applying Coulomb's Law. A hint suggests considering the relationship between kinetic energy and minimum separation distance to proceed. Ultimately, the user expresses gratitude for the help received and confirms that the problem has been solved.
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Homework Statement


The problem states that two protons are aimed at each other with a certain velocity v. It asks what is the maximum electrical force they will exert on each other.
The velocity is given at 1000km/s. And that is everything given.


Homework Equations


KE = 1/2mv^2
F = q*q/(4*pi*e*r^2)

The Attempt at a Solution


I am stuck on the approach. I have managed to find the kinetic energy of the protons but that is it. I don't know where to go from here . I think I should use Coulomb's Law, but I need to find the radius for that. Any suggestions?
 
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Hint: What can you say about the KE of the protons when they reach the minimum separation distance?
 
Great Help! Thank you very much, problem Solved.
 
Just on a hunch, I'll ask if the total kinetic energy of the two protons was included in the problem solution.
 
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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