Now, plug in the known values for "KE" ["kinetic energy"] and "m" ["mass"] ; and solve for "v". ______________________________________________________ Explanation: _____________________________________________________ The formula is: KE = (½) * (m) * (v²) ; _____________________________________
"Kinetic energy" = (½) * (mass) * (velocity , "squared") ________________________________________________ Note: Velocity is similar to speed, in that velocity means "speed and direction"; however, if you "square" a negative number, you will get a "positive"; since: a "negative" multiplied by a "negative" equals a "positive". ____________________________________________ So, we have the formula: ___________________________________ KE = (½) * (m) * (v²) ; to solve for "(v)" ; velocity, which is very similar to the "speed"; ___________________________________________________ we arrange the formula ; __________________________________________________ (KE) = (½) * (m) * (v²) ; ↔ (½)*(m)* (v²) = (KE) ; ___________________________________________________
→ We have: (½)*(m)* (v²) = (KE) ; we isolate, "m" (mass) on one side of the equation: ______________________________________________________
→ We divide each side of the equation by: "[(½)* (m)]" ; ___________________________________________________
→ v² = 2 KE / m _______________________________________________________ Take the "square root" of each side of the equation ; _______________________________________________________ → √ (v²) = √ { 2*(KE) ] / m } ________________________________________________________
→ v = √ { 2*(KE) ] / m } ;
Now, plug in the known values for "KE" ["kinetic energy"] and "m" ["mass"]; and solve for "v". ______________________________________________________
