The components of a particle’s momentum along the and directions are each doubled

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

The components of a particle’s momentum along the

x

and

y

directions are each doubled. What happens to the magnitude of its momentum? (a) It becomes

\sqrt{2}

times the original value. (b) It becomes

2\sqrt{2}

times the original value. (c) It becomes

2

times the original value (it doubles). (d) It becomes

4

times the original value (it quadruples).