Answer:
The new kinetic energy is 9 times of the initial kinetic energy.
Explanation:
The kinetic energy of an object is given by the formula as follows :
[tex]E=\dfrac{1}{2}mv^2[/tex]
Where
m is mass and v is speed of the body
If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :
[tex]E'=\dfrac{1}{2}mv'^2\\\\\text{Put v' = 3v}\\\\E'=\dfrac{1}{2}m\times (3v)^2\\\\=\dfrac{1}{2}m\times 9v^2\\\\=9\times (\dfrac{1}{2}mv^2)\\\\E'=9\times E[/tex]
Hence, the new kinetic energy is 9 times of the initial kinetic energy.
