Reason for Incorrect Algebraic Equation?

  • Thread starter Thread starter HussanAli
  • Start date Start date
  • Tags Tags
    Reason
AI Thread Summary
The first equation presented in the discussion is identified as incorrect algebra, while the second is deemed true. A numerical example is provided to illustrate the error, specifically using the equation 2 + 5 = 7. When applying the first equation's logic, the calculation 2^2 + 5^2 = 7^2 is shown to be false. This highlights the fundamental misunderstanding in the algebraic manipulation. The discussion emphasizes the importance of verifying algebraic equations for accuracy.
HussanAli
Messages
14
Reaction score
0
The first equation is false whil second is true. What is reason?
3520lzc.png

 
Physics news on Phys.org
The first equation is simply wrong algebra. An easy way to illustrate this would be via a numerical example.
Consider: 2 + 5 = 7
Following your first equation, you would obtain 2^2 + 5^2 = 7^2, which is clearly incorrect.
 
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}...
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...

Similar threads

Replies
12
Views
512
Replies
14
Views
1K
Replies
12
Views
1K
Replies
10
Views
1K
Replies
20
Views
2K
Replies
2
Views
2K
Back
Top