Solve Tension Problem: 1000kg Mass at 1m/s^2

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To calculate the tension required to pull a 1000kg mass upward at an acceleration of 1m/s², two approaches were discussed. The first method suggests using the formula T=ma, resulting in a tension of 1000 N. The second method, which accounts for gravitational force, uses the equation T - mg = ma, leading to a tension of 11000 N. The consensus leans towards the second option, as it considers both the mass's weight and the required upward acceleration. Understanding Newton's second law is crucial in determining the net force acting on the mass.
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Homework Statement


Tension on the rope to pull a 1000kg mass up at 1m/s^2

Homework Equations


F=ma

The Attempt at a Solution


I'm not sure. It's either
A. T=ma
T=1000(1)=1000 N

or
B. T-mg=ma
T-(1000)(10)=(1000)(1)
T=11000N

Thanks.
 
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Big-J said:

Homework Statement


Tension on the rope to pull a 1000kg mass up at 1m/s^2

Homework Equations


F=ma

The Attempt at a Solution


I'm not sure. It's either
A. T=ma
T=1000(1)=1000 N

or
B. T-mg=ma
T-(1000)(10)=(1000)(1)
T=11000N

Thanks.
What is Newton's 2nd law telling you?
 
That the acceleration of an object is directly related to force and inversely related to mass. Basically F=ma I guess.
 
Big-J said:
That the acceleration of an object is directly related to force and inversely related to mass. Basically F=ma I guess.
directly related to what force?
 
Net force. I think it's option B that I did in my first post.
 
Big-J said:
Net force. I think it's option B that I did in my first post.

Yes, great.
 
Thanks for the help. Much appreciated.
 
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