Solving for Tension in a Mass Slowing Down

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To determine the tension in a rope lowering a 25kg mass with a deceleration of 5m/s², the equation T - mg = -ma is used, leading to a calculated tension of 375N. The discussion also clarifies the conceptual understanding that when the velocity is negative and the mass is slowing down, the acceleration is indeed positive. This analogy is compared to a car decelerating while moving left. The reasoning presented is confirmed as correct. Understanding these dynamics is crucial for solving similar physics problems.
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Homework Statement


Ok so a 25kg mass is lowered by a rope. If the velocity of the mass is decreasing at a rate of 5m/s(squared), what is the tension in the rope?


Homework Equations



T-mg=ma
T-mg= -ma

The Attempt at a Solution

I solved for the 1st equation to get the answer of 375N. My question is conceptual. I reasoned that since the velocity is negative and the mass is slowing down than the acceleration must be positive just like when are car slows down when moving to the left. Is this correct.
 
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ortegavs said:
I reasoned that since the velocity is negative and the mass is slowing down than the acceleration must be positive just like when are car slows down when moving to the left. Is this correct.
Perfectly correct.
 

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