Momentum is the product of mass and velocity. Energy is the "capacity of a physical system to do work" (quote from google definitions because I couldn't think of how to put it myself).

 

Momentum (p) = mv

whereas

Kinetic energy (KE) = [math]\frac{1}{2} mv^2 [/math]

impulse is the integral of force with respect to time not momentum.

 

Easily fixed: Just let the initial momentum be zero, and the integral will give you momentum.

Easily fixed: Just let the initial momentum be zero, and the integral will give you momentum.

 

i honestly can't remember writing that. must have been to a party beforehand.

Momentum is the product of mass and velocity. Energy is the "capacity of a physical system to do work" (quote from google definitions because I couldn't think of how to put it myself).

 

Momentum (p) = mv

whereas

Kinetic energy (KE) = [math]\frac{1}{2} mv^2 [/math]

 

The thing to remember about about a force is that it can be defined as a change in momentum and kinetic energy can be defined as the integral of a force. with this logic we could define force a a derivative of both the momentum and the kinetic energy. The difference between the two comes from the fact that when we use momentum we are taking the derivative of momentum with resect to TIME while in the case of the kinetic energy we are taking the derivative with respect to velocity.