the formula to determine energy is e = 1/2 mv². what is the formula solved for v?\no v = ±√(m/2e)\no v = 2e…
the formula to determine energy is e = 1/2 mv². what is the formula solved for v?\no v = ±√(m/2e)\no v = 2e - m\no v = ±√(2e - m)\no v = ±√(2e/m)
Answer
Answer:
D. $v = \pm\sqrt{\frac{2E}{m}}$
Explanation:
Step1: Isolate $v^{2}$
Starting with $E=\frac{1}{2}mv^{2}$, multiply both sides by 2 to get $2E = mv^{2}$. Then divide both sides by $m$: $v^{2}=\frac{2E}{m}$.
Step2: Solve for $v$
Take the square - root of both sides. Since $(\pm a)^{2}=a^{2}$, we have $v=\pm\sqrt{\frac{2E}{m}}$.