When a 40-N force, parallel to the incline and directed up the incline, is applied to a crate on a frictionless incline that is 30° above the horizontal, the acceleration of the crate is 2.0 m/s², up the incline.The mass of the crate is: A)3.8 kg B)4.1 kg C)5.8 kg D)6.2 kg E)10 kg

Question

Quizplus · Accepted Answer

Using Newton's second law, F = ma, where F is the net force. The net force is the applied force minus the component of gravitational force along the incline. Solving for mass, m = F_net/a = (40 N - m*g*sin(30°))/2.0 m/s². Solving gives m ≈ 5.8 kg.

When a 40-N Force, Parallel to the Incline and Directed