Step by step solution to "A 14.0 kg bucket is lowered vertically by..."

College
Physics
Advanced Physics

Rylee Friedman

Answered question

2023-01-18

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 ?

Answer & Explanation

Yaretzi Huynh

Beginner2023-01-19Added 9 answers

The tension in the rope is

T = 166 N

The mass of the bucket is

m = 14.0 k g

The acceleration due to gravity is

g = 9.8 m s^{- 2}

Newton's Second Law states.

m g - T = m a

14 \cdot 9.8 - 166 = 14 \cdot a

14 a = - 28.8

a = - \frac{28.8}{14} = - 2.06 m s^{- 2}

The magnitude of the acceleration is

= 2.06 m s^{- 2}

and it is directed upwards.

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