SOLUTION: 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 kineti

Algebra ->  Proportions  -> Lessons -> SOLUTION: 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 kineti      Log On


   



Question 108156: 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.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
v=k*sqrt(e)
120=k*sqrt(1600)
120=40k
k=120/40
k=3
.
21=3*7
e=7^2=49 e joules
.
Ed