Vectors and are the only forces acting on a body

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Vectors

\mathbf{P}=(k\,\hat i +4\,\hat j)\,\text{N}

and

\mathbf{Q}=(-5\,\hat i -4\,\hat j)\,\text{N}

are the only forces acting on a body. If the body remains in equilibrium, find the value of

k

. (a)

4

(b)

5

(c)

-5

(d)

0