Answer:
New kinetic energy = 12 times of the initial kinetic energy.
Explanation:
The kinetic energy of an object is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
Where
m is mass of the object
v is speed of the object
ATQ,
If the mass of the object is tripled, m' = 3m
Speed is doubled, v' = 2v
New kinetic energy will be:
[tex]K'=\dfrac{1}{2}m'v'^2\\\\K'=\dfrac{1}{2}\times 3m\times (2v)^2\\\\=\dfrac{1}{2}\times 3m\times 4v^2\\\\=12\times \dfrac{1}{2}mv^2\\\\K'=12\times K[/tex]
So, the new kinetic energy will become 12 times of the initial kinetic energy.