Solving for Tension in a Mass Slowing Down

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SUMMARY

The discussion centers on calculating the tension in a rope supporting a 25kg mass that is decelerating at a rate of 5 m/s². The tension is derived using the equation T - mg = -ma, resulting in a calculated tension of 375N. The participants confirm that when the velocity is negative and the mass is slowing down, the acceleration is indeed positive, analogous to a car decelerating while moving left.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concepts of tension and gravitational force
  • Basic algebra for solving equations
  • Knowledge of kinematics, specifically acceleration and velocity
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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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