Ten points for a step by step explanation of how to get this problem
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Ten points for a step by step explanation of how to get this problem

[From: ] [author: ] [Date: 11-04-24] [Hit: ]
E.D.......
Please someone help me explain how to solve for v?
m=mo /SQUARE ROOT 1-v^2/c^2.

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m/mo=1 /SQUARE ROOT 1-v^2/c^2.

mo/m=SQUARE ROOT 1-v^2/c^2.

(mo/m)^2 = 1-v^2/c^2.

(mo/m)^2 - 1 = -v^2/c^2.

1 - (mo/m)^2 = v^2/c^2.

v^2 = c^2*(1 - (mo/m)^2)

v = c*sqrt(1 - (mo/m)^2) <<<<

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Assuming that mo is one term, you can simplify as follows;
1. Multiply both sides by the right side denominator yielding:
SQR(1 - v^2/c^2) * m = mo
2. Divide both sides by m yielding: SQR(1 - v^2/c^2) = mo/m
3. Square both sides yielding: 1 - v^2/c^2 = mo^2/m^2
4. Multiply both sides by c^2 yielding: c^2 - c^2*mo^2/m^2 = v^2
5. Take SQR of both sides yielding: v = SQR(c^2 - c^2*mo^2/m^2)
Q.E.D.

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multiply both sides by the square root


m*sqrt(1-v^2/c^2)=mo

divide both sides by m

sqrt(1-v^2/c^2)=mo/m

square both sides

1-v^2/c^2=(mo/m)^2

add v^2/c^2 to both sides

1=(mo/m)^2+(v^2/c^2)

subtract (mo/m)^2 from both sides

1-(m0/m)^2=(v^2/c^2)

multiply both sides by c^2

c^2-[(mo/m)^2]*c^2=v^2

take the square root of both sides

v=sqrt{c^2-[(mo/m)^2]*c^2}
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