Question #1ed59

1 Answer
Feb 27, 2017

Yes. Multiplying a vector by a scalar gives you the another vector with the same direction, and momentum is a vector multiplied by a scalar.

Explanation:

Yes.

Momentum is simply mass times velocity, or

p = mv

Velocity is a vector (involving direction or route, not considered just as a straight line), while mass is a scalar quantity (it does not matter what direction a mass is in).

A vector with direction multiplied by a scalar without direction will have the final direction simply of the vector, as the scalar does not affect the direction at all.

You could think of the algebraic analogy

4 * 3x = 12x,

where the quantity in front changes, but the actual direction, say it is x, stays the same. 4 and 3 are just numbers you multiply.

Therefore

vec p = m vec v