A 3.0-kg block slides on a frictionless 20° inclined plane. A force of 16 N acting parallel to the incline and up the incline is applied to the block. What is the acceleration of the block? A) 2.0 m/s² down the incline B) 5.3 m/s² up the incline C) 2.0 m/s² up the incline D) 3.9 m/s² down the incline E) 3.9 m/s² up the incline

Question

Quizplus · Accepted Answer

The force of gravity pulling the block down the incline is 3.0 kg * 9.8 m/s^2 * sin(20°) = 10.2 N. The force applied to the block up the incline is 16 N. The net force on the block is 16 N - 10.2 N = 5.8 N. The acceleration of the block is 5.8 N / 3.0 kg = 1.93 m/s^2 up the incline.

A 30-Kg Block Slides on a Frictionless 20° Inclined Plane