Max $KE$ = $8.189$ $J$ = $½ * 7.8$ $kg * v^²$ ?

Question

How do you solve for v?

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Answer 1 · 2017-05-02T03:11:46

$v = 1.449$ $ms^-1$

The approach is just like solving any other equation: do the same things to each side until you have the pronumeral you want alone as the subject.

You have the equation:

$1/2 * 7.8 * v^2 = 8.198$

Multiply both sides by 2:

$7.8 * v^2 = 2 * 8.198 = 16.396$

Divide both sides by 7.8:

$v^2 = 16.396/7.8 = 2.102$

Take the square root of both sides:

$v = sqrt(2.102) = 1.449$ $ms^-1$