Question #b123c
1 Answer
Apr 3, 2017
See below
Explanation:
If they have different formulae they are not the same:
-
Vector quantity momentum is
#mathbf p = m mathbf v# . Momentum is always conserved in consequence of Newton's 2nd and 3rd Laws. -
Scalar quantity Kinetic Energy is
#T = 1/2 m v^2# . T is conserved, for example, in elastic collisions; but it is not always conserved.
In modern physics, they are often combined as:
You are right in one sense though. For constant mass, they are both functions of velocity; but:
-
#p propto v# -
#T propto v^color(red)(2)#
and
#T propto p^2#
A more interesting relationship might be, where
