Question

rearrange the formula ( ke=\frac{1}{2}mv^{2} ) for m.
a ( m=\frac{2v^{2}}{ke} )
b ( m=\frac{v^{2}}{2ke} )
c ( m=\frac{ke}{2v^{2}} )
d ( m=\frac{2ke}{v^{2}} )

Explanation:

Step1: Multiply both sides by 2

$$ 2\times KE = 2\times\frac{1}{2}mv^{2} $$

$$ 2KE=mv^{2} $$

Step2: Divide both sides by \(v^{2}\)

$$ \frac{2KE}{v^{2}}=\frac{mv^{2}}{v^{2}} $$

Answer:

D. \(m = \frac{2KE}{v^{2}}\)