A constant force is applied to an object that causes a certain displacement. If the angle between the force and the displacement is 135°, the work done by this force is
A) positive.
B) negative.
C) 0 J.
D) Cannot be determined without knowing the magnitude of the displacement.
E) Cannot be determined without knowing the magnitude of the applied force.

Question

Quizplus · Accepted Answer

The work done by a constant force is given by the equation W = Fdcosθ, where F is the magnitude of the force, d is the magnitude of the displacement, and θ is the angle between the force and the displacement. Since the angle between the force and the displacement is 135°, which is between 90° and 180°, the cosine of the angle is negative. Therefore, the work done by the force is negative, meaning that energy is taken away from the object rather than being added to it.

A Constant Force Is Applied to an Object That Causes