What is the work done on the bucket in a frictionless pulley problem?

[nguyenn2]

An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00 m.

How much work do you do on the bucket in pulling it up?

 

[cristo]

You need to show some work before we can help you with homework questions.

 

[m2003]

Based on the given information, we can calculate the work done on the bucket by using the formula W = F*d, where W is work, F is force, and d is distance. In this case, the force applied is the tension in the rope, which is equal to the weight of the bucket (m*g). Therefore, the work done on the bucket is W = (6.75 kg)*(9.8 m/s^2)*4.00 m = 263.7 Joules. This means that in pulling the bucket up, you have done 263.7 Joules of work on it. It is important to note that this is the work done on the bucket, not the work done by you as the scientist. As the scientist, you have applied a force to the rope, but the work done is on the bucket as it is the object being moved.