Answer to Question #289241 in Physics for amar

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 g. .

Answer 1

Given:

$m=\rm 4.5\; kg$

$a=1/4 g$

The Newton's second law says

$$ma=T-mg$$

Hence

$$T=m(a+g)=5/4mg\\ =5/4*4.5*9.8=55\: \rm N$$