Calculating Tension in a Rope for a Slowing Object

[badshar]

Homework Statement

A bucket is lifted up by a rope, slowing down at a constant rate of 0.640 m/s^2. Find the tension in the rope if the bucket weighs 22.0 N.

Homework Equations

F=MA
Fg(gravity)=M*G(gravitational force)

The Attempt at a Solution

9.8 m/s^2 + 0.640 m/s^2 = 10.44 m/s^2
22N=M*9.8m/s^2
M=2.24 kg

Ft=MA
Ft=2.24 kg * 10.44 m/s^2
Ft=23.39 N

 

[badshar]

Anyone?

 

[Dick]

Homework Statement

A bucket is lifted up by a rope, slowing down at a constant rate of 0.640 m/s^2. Find the tension in the rope if the bucket weighs 22.0 N.

Homework Equations

F=MA
Fg(gravity)=M*G(gravitational force)

The Attempt at a Solution

9.8 m/s^2 + 0.640 m/s^2 = 10.44 m/s^2
22N=M*9.8m/s^2
M=2.24 kg

Ft=MA
Ft=2.24 kg * 10.44 m/s^2
Ft=23.39 N

Everything is all scrambled up. Why are you adding accelerations? Draw a force diagram. The tension T points up, the weight W points down and you know the acceleration. Try and solve for T.