Box on a table connected by cable(dynamic)

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The problem involves two boxes connected by a cable, with one box hanging and accelerating downward at 2.0 m/s². The equations of motion for both boxes are derived, confirming that the acceleration for both is indeed the same due to their connection. The net force equations for each mass are established, showing the relationship between tension and gravitational force. The discussion emphasizes the importance of recognizing that connected masses share the same acceleration. Understanding this principle is crucial for solving similar dynamics problems.
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Homework Statement


A box on a friction less table is connected by a cable to a second, hanging 10.0kg box. The cable has no mass, does not stretch and the pulley is friction less
.
m2 accelerates 2.0m/s/s downwards

Homework Equations


F= ma

The Attempt at a Solution


Fnet=m1a
T= M1a

Fnet=m2a
Fg-T = m2a

Is the acceleration for both equation the same, 2.0m/s/s?
 
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Yes. Two masses are connected by a single cable. Hence they mast have the same acceleration.
 

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