Rearranging equations - is this correct?

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AI Thread Summary
To rearrange the equation F=Kq1q2/r^2 to make K the subject, the correct formula is K=Fr^2/q1q2. The original poster expressed uncertainty about their solution but received confirmation that it was correct. They were encouraged to verify their answer by substituting values for K, q1, q2, and r to check consistency with the calculated force F. This approach reinforces understanding of the relationship between the variables in the equation. Overall, the discussion highlights the importance of confidence in problem-solving and verification through practical examples.
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Homework Statement



Rearrange F=Kq1q2/r^2 to make K the subject

Homework Equations





The Attempt at a Solution



K=Fr^2/q1q2 - is this correct? Sorry I am new to this! Thanks :)
 
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Yes, that's correct.
 
Fab thanks - should have more faith!
 
If you want to check your answer, just make up values for k, q1, q2, and r and find F. Then use that F along with the same values for q1, q2, and r and see if you get what you assigned to k originally.
 
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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