A 100-N force has a horizontal component of 80 N and a vertical component of 60 N.The force is applied to a cart on a level frictionless floor.The cart starts from rest and moves 2.0 m horizontally along the floor due to this force.What is the cart's final kinetic energy?
A)200 J
B)160 J
C)120 J
D)zero

Question

Quizplus · Accepted Answer

The work done by a force is given by the formula W = Fd cos θ, where F is the force, d is the displacement, and θ is the angle between the force and the displacement.

In this case, the horizontal component of the force is causing the displacement, so θ = 0, and cos θ = 1. Therefore, the work done by the force is:

W = 80 N × 2.0 m × 1 = 160 J

Since there is no friction, all the work done by the force is converted into kinetic energy. Therefore, the cart's final kinetic energy is also 160 J. Hence, the correct answer is B.

A 100-N Force Has a Horizontal Component of 80 N