Question

a formula from physics is given below.

( e _ { k } = \frac { 1 } { 2 } m v ^ { 2 } )

which equation is the same formula rewritten to solve for ( m ) in terms of ( e _ { k } ) and ( v )?

( \bigcirc ) a. ( m = \frac { e _ { k } } { 2 v ^ { 2 } } )

( \bigcirc ) b. ( m = \frac { 1 } { 2 } e _ { k } v ^ { 2 } )

( \bigcirc ) c. ( m = \frac { 2 e _ { k } } { v ^ { 2 } } )

( \bigcirc ) d. ( m = 2 e _ { k } v ^ { 2 } )

Explanation:

Step1: Multiply both sides by 2

$$2E_{k}=mv^{2}$$

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

$$m = \frac{2E_{k}}{v^{2}}$$

Answer:

C. \(m=\frac{2E_{k}}{v^{2}}\)