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shusha [124]
3 years ago
7

K=1/2mv^2 -1/2 mx^2. solve for x

Physics
1 answer:
WINSTONCH [101]3 years ago
7 0

Answer:

x=\sqrt{v^2 -\frac{2k}{m}}

Explanation:

<u>Equation Solving </u>

The procedure to solve an equation consists in trying to isolate the required variable by applying algebra and / or elemental properties of some functions. If not possible, then we could use formulas or iterative approaches.

The equation to solve is

\displaystyle k=\frac{1}{2}mv^2 -\frac{1}{2} mx^2

Rearranging

\displaystyle \frac{1}{2} mx^2=\frac{1}{2}mv^2 -k

Multiplying by 2/m

\displaystyle x^2=v^2 -\frac{2k}{m}

Solving for x

\displaystyle \boxed{x=\sqrt{v^2 -\frac{2k}{m}}}

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