A 12.0kg bucket is lowered vertically by a rope in which there is 180 N of tension at a given instant.

What is the acceleration of the bucket?

Is it up or down?

1 answer

If you draw a free-body diagram for the bucket, you will end up with the following (shown sideways)
TOP---->180N<------BUCKET-------->12g N BOTTOM

Since 180N > 12g=12*9.8=117.6
the acceleration is upwards.

Net upward force = 180-117.6,
mass = 12 kg
Acceleration = ??? using F=ma