Physics

Problem

10\,\text{kg}

crate rests on a nearly frictionless floor. Two horizontal forces act on it:

15\,\text{N}

toward the east and

12\,\text{N}

toward the west. Determine the magnitude and direction of a third horizontal force that must be applied so the crate accelerates at

2.0\,\text{m/s}^2

toward the east.