The velocity ( v meters per second ) of a body is known to be proportional to the sqaure root of it's kinetic energy ( e ejoules). When the velocity of a body is 120m/s it's kinetic energy is 1600J.

Write down the relationship between v , e using k as the constant of varation.

Calculate the value of k

v = 21 , calculate the kenetic energy of the body in joules.


Can someone explain me please the right method in solving each quesion with the steps.

1 answer

v= k sqrtKe
120=k sqrt 1600 solve for k, the proportionality constant.
Then,

v= k sqrt KE
ke= (v/k)^2