Given the formula for kinetic energy (KE)of an object in terms of mass (m)and velocity (v), KE=12mv2, how would you rearrange the formula if you were interested in finding the mass of the object?(1 point)Responses2KEv2=mStart Fraction 2 upper K upper E over v squared End Fraction equals mm=KE2v2m equals Start Fraction upper K upper E over 2 v squared End Fractionv=2KEm−−−−√v equals Start Root Start Fraction 2 upper K upper E over m End Fraction End Rootm=KE12v2m equals Start Fraction Start Fraction upper K upper E over Start Fraction 1 over 2 End Fraction End Fraction over v squared End Fraction
1 answer
To rearrange the formula for kinetic energy \( KE = \frac{1}{2} mv^2 \) in order to solve for mass \( m \), you can follow these steps:
Start with the formula:
\[ KE = \frac{1}{2} mv^2 \]
Multiply both sides by 2 to eliminate the fraction:
\[ 2KE = mv^2 \]
Divide both sides by \( v^2 \) to isolate \( m \):
\[ m = \frac{2KE}{v^2} \]
Thus, the rearranged formula to find the mass \( m \) of the object is:
\[ m = \frac{2KE}{v^2} \]
This corresponds to the response:
2KE/v² = m.
