m1v1+m2v2=m1vf+m2vf solve for (vf)
To solve for vf in the equation m1v1 + m2v2 = m1vf + m2vf, we can start by isolating the term with vf on one side of the equation.
m1v1 + m2v2 = m1vf + m2vf
Rearrange the equation by moving the terms involving vf to one side:
m1vf + m2vf = m1v1 + m2v2
Next, factor out vf on the left side of the equation:
vf (m1 + m2) = m1v1 + m2v2
Finally, divide both sides of the equation by (m1 + m2) to solve for vf:
vf = (m1v1 + m2v2) / (m1 + m2)
Therefore, vf is equal to (m1v1 + m2v2) divided by (m1 + m2).
It is important to note that this equation assumes that m1 and m2 are masses, while v1 and v2 are respective velocities.
think back to your Algebra I.
Collect all the vf terms and factor it out.