(- c search the web. 59222785 h.04 HWProbiem 4.90 A 28.0kg ock is connected to a

Question

(- c search the web. 59222785 h.04 HWProbiem 4.90 A 28.0kg ock is connected to an empty 2 94 kg buckot by a coed running over a frctionless puley The coeficient of static friction between the table and the block is 0.43 and the coeficient of kinetic fiction between the table and the block is 0.32 Sand is gradualy added to the bucket unil the system just begins to move Ignore mass of cond Part A Calculate the mass of sand added to the bucket Express your answer to two significant figuees and include the appropriate units. m= 1 Value Units | 28.0k My Answers Ge Part B Calculate the acceleration of the system Expeess your answer to two significant figures and include the appropriate units a Value Units Submity Answers ly Answers GeU Search the web and Windows o e n, @ao

Explanation / Answer

Here ,

mass , m1 = 28 Kg

mass of bucket , m2 = 2.94 Kg

coefficient of friction, us = 0.43

uk = 0.32

part A)

let the mass added to the bucket is m

for the motion to start

(m2 + m) * g = us * m1 * g

(2.94 + m) = 0.43 * 28

m = 9.1 Kg

the mass of sand added is 9.1 Kg

part B)

let the acceleration is a

Using second law of motion

(m2 + m1 + m ) * a = (m + m2) * g - uk * m1 * g

(28 + 2.94 + 9.1) * a = (2.94 + 9.1) * 9.8 - 0.32 * 28 * 9.8

solving for a

a = 0.754 m/s^2

the acceleration of the system is 0.754 m/s^2

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