Three Blocks, Light Connecting Ropes, and a Light Frictionless Pulley

question 56

Short Answer

Three blocks, light connecting ropes, and a light frictionless pulley comprise a system, as shown in the figure. An external force of magnitude P is applied downward on block A, causing block A to accelerate downward at a constant 2.5 m/s². The tension in the rope connecting block B and block C is equal to 60 N.
(a) What is the magnitude of the force P?
(b) What is the mass of block C?

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Definitions:

Sympathetic

Relating to the sympathetic nervous system, which is part of the autonomic nervous system responsible for the body's "fight or flight" response.

Fight-or-Flight

A physiological reaction to perceived harmful events, attacks, or threats to survival, preparing the body to either confront or flee from the situation.

Allostatic

Relating to or denoting the adaptive processes that maintain homeostasis through the production of mediators such as adrenaline.

Homeostasis

The regulation of an organism's internal environment to maintain stable, constant conditions for life processes.