## The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v? V = plus-or-minus StartRoot StartFr

Question

The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v? V = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot v = 2 uppercase E minus m v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

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7 days 2021-10-11T15:19:15+00:00 2 Answers 0

Step-by-step explanation:

The formula for energy us given as

E=½mv²

This change of formula question, we want to make v the subject of the formula

E=½mv²

Multiply the right and side and the left hand side by 2 to eliminate the ½

2×E= 2×½ mv²

Then, we have

2E=mv²

Divide both side of the equation by m to eliminate m

2E/m=mv²/m

So we have

2E/m=v²

Now take the square of both side of the equation to eliminate square of v

±√(2E/m)=√v²

±√(2E/m)=v

Then,

v=±√(2E/m)

The last option is the correct option

v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot