a rope is used to pull a 2.89kg bucket of water out of a deep well. what is the acceleration of the bucket when the tension in the rope is 30.2N?

Explanation:

Tension in the rope in upward direction = 30.2 N .

weight of bucket in downward direction = mg

net force in upward direction = 30.2 - mg

30.2 - 2.89 x 9.8

= 1.878 N

acceleration = net force / mass

= 1.878 / 2.89

= .65 m /s² .

= 65 cm /s²

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.