11/12/2015 12:00 AM A 8/10 11/11/2015 03:43 PM Gradebook Attempts Score -Print C
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11/12/2015 12:00 AM A 8/10 11/11/2015 03:43 PM Gradebook Attempts Score -Print Calculator-Periodic Table 65 Question 3 of 10 Incorrect 2 95 Map sapling learning o buckets of mass m1-21.1 kg and m2 12.9 kg are attached to the ends of a massless rope, which passes over a pulley with a mass of mp-813 kg and a radius of rp = 0.350 m. Assume that the rope does not slip on the pulley, and that the pulley rotates without friction 4 100 The buckets are released from rest, and begin to move. If the larger bucket is a distance do = 1.55 m above the ground when it is released, with what speed v will it hit the ground? 95 50 Number 95 m/ s 100 100 21.1 kg 10 98 12.9 kg Previous Give Up & View Solution e Check Answer Next ExitExplanation / Answer
for m1
m1*g - T1 = m1*a
T1 = m1*g - m1*a
for m2
T2 - m2*g = m2*a
T2 = m2*g + m2*a
for the pulley
net torque = I*alfa
alfa = a/R
R = radius
I = moment of inertia
(T1 - T2)*rp = I*alfa = (1/2)*mp*rp^2*a/rp
T1 - T2 = 0.5*mp*a
m1*g - m1*a - m2*g -m2*a = 0.5*mp*a
(21.1*9.8) - (21.1*a) -(12.9*9.8)-(12.9*a) = 0.5*8.13*a
a =2.11 m/s^2
from equation of motion
v^2 - u^2 = 2*a*y
v^2 - 0 = 2*2.11*1.55
v = 2.56 m/s
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