Question

K= 1/2mv^2 Solve for V

Answer 1

Hi there!

v = ±$\sqrt{\frac{2K}{m} }$

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K = 1/2mv²

Isolate for the variable "v". We can begin by dividing both sides by 1/2. (Multiply by the reciprocal, or 2):

2 · K = 2 · (1/2mv²)

2K = mv²

Continue isolating by dividing both sides by "m":

2K / m = v²

Take the square root of both sides. Remember that the solution can either be positive or negative since there are positive and negative roots.

v = ±$\sqrt{\frac{2K}{m} }$

Answer 2

Answer: v = −√2Km/m

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Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

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