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#