One end of a light spring is fixed at the origin

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

One end of a light spring is fixed at the origin. A small mass attached to the other end is pulled so that the spring is stretched

0.15\,\text{m}

along a straight line that makes an angle of

30^{\circ}

above the positive

x

-axis, then held at rest. The spring constant is

120\,\text{N}\!\cdot\!\text{m}^{-1}

. What are the components

(F_x, F_y)

of the spring force acting on the mass at this instant? (a)

(+15.6\,\text{N},\,+9.0\,\text{N})

(b)

(-15.6\,\text{N},\,-9.0\,\text{N})

(c)

(-9.0\,\text{N},\,-15.6\,\text{N})

(d)

(-15.6\,\text{N},\,+9.0\,\text{N})