sureMan
sureMan sureMan
  • 22-11-2019
  • Mathematics
contestada

The formula to determine energy is E=1\2 mv^2 What is the formula solved for v?

Respuesta :

jitumahi90 jitumahi90
  • 30-11-2019

Answer:

The formula solved for v is √2E/m.

Step-by-step explanation:

Given:

The formula to determine energy is E=1/2mv².

So, to solve the formula for v, we put the formula of energy:

[tex]E=\frac{1}{2}mv^{2}[/tex]

Multiplying both sides by 2:

[tex]2E=mv^{2}[/tex]

Now, dividing both sides by m:

[tex]\frac{2E}{m} = v^{2}[/tex]

And, using square root both the sides:

[tex]\sqrt{\frac{2E}{m}} =v[/tex]

[tex]v=\sqrt{\frac{2E}{m}} [/tex]

Therefore, the formula solved for v is √2E/m.

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