Answer:
Option C
Explanation:
Kinetic energy is the energy that the body possesses by virtue of its motion.
The formula for Kinetic energy is given by [tex]\frac{1}{2} mv^2[/tex]
Using this formula let us find kinetic energy for the bodies given and find out which is the greatest
A) KE = [tex]\frac{1}{2} (4m)(v^2) = 2mv^2[/tex]
B) KE =[tex]\frac{1}{2} (3m)(2v)^2 = 6mv^2[/tex]
C) KE = [tex]\frac{1}{2} (2m)(3v)^2 = 9mv^2[/tex]
D) KE = [tex]\frac{1}{2} (3)(4v)^2 = 8mv^2[/tex]
Comparing these we find that 9mv^2 is the highest.
Hence option C is the answer.