Can you please show all work algebraically and draw the free body force diagrams
ID: 1883904 • Letter: C
Question
Can you please show all work algebraically and draw the free body force diagrams for this problem?
Constants Calculate the mass of sand added to the bucket. A 28.0-kg block is connected to an empty 2.24-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.44 and the coefficient of kinetic friction between the table and the block is 0.31. Sand is gradually added to the bucket until the system just begins to move. Ignore mass of cord. (Figure 1) Express your answer to two significant figures and include the appropriate units mValue Units Submit Request Answen Figure 1 of 1> Part B 28.0 kg Calculate the acceleration of the system. Express your answer to two significant figures and include the appropriate units Units a= Value Submit Request AnsExplanation / Answer
here,
mass of block , m1 = 28 kg
mass of bucket , m2 = 2.24 kg
us = 0.44 , uk = 0.31
a)
let the mass of sand added be m3
for the system to start moving
us * m1 * g = (m2 + m3) * g
0.44 * 28 * 9.81 = ( 2.24 + m3) * 9.81
solving for m3
m3 = 10.1 kg
b)
the accelration of the system , a = net force /effevctive mass
a = ( (m3 +m2) * g - uk * m1 * g)/(m1 + m2 + m3)
a = (( 2.24 + 10.8) * 9.81 - 0.31 * 28 * 9.81) /( 28 + 2.24 + 10.8)
a = 1.04 m/s^2
the accelration of the system is 1.04 m/s^2