The Figure Shows a System Consisting of Three Blocks, a Light

question 114

Short Answer

The figure shows a system consisting of three blocks, a light frictionless pulley, and light
connecting ropes that act horizontally on the upper two blocks. The 9.0-kg block is on a
perfectly smooth horizontal table. The surfaces of the 12-kg block are rough, with µk =
0.30 between the 12-kg and 9.0-kg blocks. The mass M of the hanging block is set so that it
descends at a constant velocity of 3.25 m/s.
(a) What is the mass M of the hanging block?
(b) The mass M is now changed to 5.0 kg, causing it to accelerate downward after it is
released. What is the acceleration of the hanging mass?

---

Definitions:

Variability Hypothesis

A theory suggesting that there are more variability in cognitive and behavioral traits among males than females.

Geniuses

refers to individuals with exceptional intellectual ability, creativity, or originality, capable of significant achievements.

Mental Health Issues

Conditions that affect a person's thinking, feeling, behavior, or mood, such as depression, anxiety, bipolar disorder, and schizophrenia.

Mathematical Ability

The capacity to understand, analyze, and apply mathematical concepts, procedures, and reasoning to solve quantitative problems.