with this tension problem -- Mass on an accelerating cable

[Jett Johnson]

Homework Statement

A 35 kg mass is being raised by a cable with decreasing speed. At the instant the upward velocity has a magnitude of 1.6 m/s and the downward acceleration has magnitude of 1.2 m/s2, what is the tension of the cable?

m=35 kg
v=1.6 m/s
a= -1.2 m/s2
g= 9.81 m/s2

Homework Equations

T=mg+ma

The Attempt at a Solution

My professor may be the worst on the planet and hasn't taught us this, I also cannot find any help in the book or online. I do not know how to input velocity into the tension equation. Please Help Thanks...

 

[Doc Al]

I do not know how to input velocity into the tension equation.

You don't have to. Velocity doesn't affect the tension -- that's why it doesn't appear in the tension equation.

 

[Jett Johnson]

So mg= 35 x 9.81 ; ma= 35 x 1.2
T=mg+ma
T= 343.35-42=
301.35 N ?

 

[Doc Al]

So mg= 35 x 9.81 ; ma= 35 x 1.2
T=mg+ma
T= 343.35-42=
301.35 N ?

Looks good to me! (You can round off your answer to fewer digits.)