Answer: 2 m/s 2.
- A 1 m/s<sup>2</sup>
- B 2 m/s<sup>2</sup>
- C 3 m/s<sup>2</sup>
- D 4 m/s<sup>2</sup>
Correct answer: B. 2 m/s<sup>2</sup>
Explanation: a = (m<sub>2</sub>-m<sub>1</sub>)g/(m<sub>1</sub>+m<sub>2</sub>) = (6-4) x 10 / (4+6) = 20/10 = 2 m/s<sup>2.</sup>
Free-body diagram of a block on an incline: weight (mg) resolves into mg sinθ along the slope and mg cosθ into the slope, balanced by the normal force N and friction f.
Concept context
Newton's three laws, friction, circular motion, and free body diagrams.