A 14.0 kg bucket is lowered vertically by a rope in which there is 166 N of tension at a given instant. Determine the magnitude of the acceleration of the bucket. Is it up or down ?

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Answer 1 · 2018-02-28T13:15:58

The magnitude of the acceleration is #=2.06ms^-2# and it is directed upwards.

The tension in the rope is #T=166N#

The mass of the bucket is #m=14.0kg#

The acceleration due to gravity is #g=9.8ms^-2#

#mg-T=ma#

#14*9.8-166=14*a#

#14a=-28.8#

#a=-28.8/14=-2.06ms^-2#

The magnitude of the acceleration is #=2.06ms^-2# and it is directed upwards.