Best relationship between momentum and kinetic energy possesses by an object in terms of mass

Options

A. momentum = ` (2m xx " kinetic energy ") ^(1//2)`
B. `("momentum")^(1//2) = 2 xx ` kinetic energy
C. `("kinetic energy ")^(1//2) = 2 xx ` momentum
D. kinetic energy `= (2 xx " momentum ")^(1//2)`

Answer

A

Explanation

The kinetic energy (K) and momentum (p) of an object are related by
`K = (p^(2))/(2 m)` (where m is the mass of the object)
`:. p^(2) = 2 m K or P = sqrt( 2 m K)`