If the mass of the body is made 3 times and the velocity becomes double, the kinetic energy will increase?

If the mass of the body is made 3 times and the velocity becomes double, the kinetic energy will increase?

Explanation

Kinetic energy formula: KE = ½ mv²


Let initial KE = ½ * m * v²  

New KE = ½ * (3m) * (2v)²  

= ½ * 3m * 4v²  

= 6mv²  


Now divide new KE by original KE:  

(6mv²) / (½mv²) = 12 times