A puck on a smooth horizontal surface is pushed successively by four displacement…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A puck on a smooth horizontal surface is pushed successively by four displacement vectors (all values in metres):

\vec P = 4\,\hat i + 3\,\hat j

\vec Q = -6\,\hat i + 2\,\hat j

\vec R = 1\,\hat i -5\,\hat j

and

\vec S = -3\,\hat i -4\,\hat j

. (i) Determine the rectangular components

R_x

and

R_y

of the net displacement

\vec R_{\text{net}} = \vec P + \vec Q + \vec R + \vec S

. (ii) Calculate the magnitude of

\vec R_{\text{net}}

. (iii) Find the angle that

\vec R_{\text{net}}

makes with the positive

x

–axis, giving the answer to the nearest degree.