The kinetic energy of an object is quadrupled. its momentum will change by what factor?

If the kinetic energy of an object is quadrupled. its momentum will change by what factor of 2

The linear momentum (p) of an object is given by:

p = mv

m is the mass and v is the velocity

Hence: m = p/v

The kinetic energy of a body is:

K.E = (1/2)mv²

K.E = p²/2m

p = √2*m*K.E

If the Kinetic energy is quadrupled, the momentum (p') would be:

p' = √2*m*4K.E

p' = 2*√2*m*K.E = 2 * p

p' = 2 * p

Therefore if the kinetic energy of an object is quadrupled. its momentum will change by what factor of 2

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