Which of the following has the greatest kinetic energy? A. a mass of 4m at velocity v. B. a mass of 3m at velocity 2v. C. a mass of 2m at velocity 3v. D. a mass of m with a velocity of 4v.

Respuesta :

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.