Question
rearrange the formula for the quantity of interest m
KE= 1/2 mv^2
KE= 1/2 mv^2
Answers
GPT-4o mini
To rearrange the formula for kinetic energy \( KE = \frac{1}{2} mv^2 \) to solve for mass \( m \), follow these steps:
1. Start with the original formula:
\[
KE = \frac{1}{2} mv^2
\]
2. Multiply both sides by 2 to eliminate the fraction:
\[
2KE = mv^2
\]
3. Divide both sides by \( v^2 \) to isolate \( m \):
\[
m = \frac{2KE}{v^2}
\]
So, the rearranged formula for mass \( m \) is:
\[
m = \frac{2KE}{v^2}
\]
1. Start with the original formula:
\[
KE = \frac{1}{2} mv^2
\]
2. Multiply both sides by 2 to eliminate the fraction:
\[
2KE = mv^2
\]
3. Divide both sides by \( v^2 \) to isolate \( m \):
\[
m = \frac{2KE}{v^2}
\]
So, the rearranged formula for mass \( m \) is:
\[
m = \frac{2KE}{v^2}
\]