Answer to Question #284796 in Optics for kocii

Question

. Ashman pulls a 4.5 kg bucket of water from a well of 2.8 m depth by a rope. Draw a labeled free-body diagram of the bucket and find the magnitude of tension force in the rope if the upward acceleration of the bucket is 1/4 gram.

Answer 1

Assuming the upward acceleration is 1/4g, he tension is

$$T=m(a+g)=4.5·(1.4+1)9.8=106\text{ N}.$$

The free-body diagram: