Question

A 5.7 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s 2 . If the upward acceleration of the bucket is 2.2 m/s2 , find the force exerted by the rope on the bucket of water. Answer in units of N.

Answer 1

68.457N

Step-by-step explanation:

Answer 2

Force exerted by rope will be 68.457 N

Step-by-step explanation:

Mass of the bucket = 5.7 kg

Acceleration due to gravity
`g=9.81m/sec^2`

Upward acceleration
`a=2.2m/sec^2`

We have to find the force exerted by the rope means tension in the rope

Tension in the rope is given by

`T-mg=ma`

`T=mg+ma=m(g+a)=5.7(9.81+2.2)=68.457N`

So force exerted by rope will be 68.457 N