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if the mass of the object is tripled and the speed is doubled then the kinetic energy will change by a factor of

Sagot :

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.