Three forces act simultaneously on a particle

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

Problem

Three forces act simultaneously on a particle. Force

\mathbf F_1

has magnitude

8\,\text{N}

and acts

30^{\circ}

above the

+x

-axis. Force

\mathbf F_2

has magnitude

10\,\text{N}

and acts at

120^{\circ}

from the

+x

-axis. A third force

\mathbf F_3

is applied so that the net force on the particle is zero. Which of the following lists the

x

- and

y

-components of

\mathbf F_3

? (a)

(-1.9\,\text{N},\; +4.7\,\text{N})

(b)

(-1.9\,\text{N},\; -12.7\,\text{N})

(c)

(+1.9\,\text{N},\; +12.7\,\text{N})

(d)

(+1.0\,\text{N},\; -15.6\,\text{N})