Question

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

Answer 1

New kinetic energy = 12 times of the initial kinetic energy.

Step-by-step explanation:

The kinetic energy of an object is given by :

`K=(1)/(2)mv^2`

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:

`K'=(1)/(2)m'v'^2\\\\K'=(1)/(2)* 3m* (2v)^2\\\\=(1)/(2)* 3m* 4v^2\\\\=12* (1)/(2)mv^2\\\\K'=12* K`

So, the new kinetic energy will become 12 times of the initial kinetic energy.