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the number that is closest.Tne exact s I. A mass (m, = 2.0 kg) is on a rough hor

ID: 1776762 • Letter: T

Question

the number that is closest.Tne exact s I. A mass (m, = 2.0 kg) is on a rough horizontal surface with '= 0.20. It is connected by a thin cord that passes over a spherical pulley with mass (m, 6.0 kg) and radius (R 0.20m) to another mass (m, 5.0 kg) which hangs vertically. m, slides d,-2.0 m along the surface. a. What is conserved during this process? b. What is your plan to solve for the speeds below? c. Write all equations needed to solve for the linear speed of m, at the end of this im process and circle or underline all unknowns. EXTRA CREDIT What is the speed of m, at the end of this process? What is the angular speed of m, at the end of this process? d. e.

Explanation / Answer

(A) energy is lost due to friction,

hence energy is not conserved.

(B) We will applying work - energy theorem.

work done by friction + work done bt gravity = change in KE


(C) ( - uk m1 g d1 ) + (m3 g d1) = (m1 v^2 /2 + m3 v^2 /2 + Iw^2 / 2 ) - 0

g d1 (m3 - uk m1 ) = (m1/2 + m3/2 + m2/4) v^2

v = sqrt[ 4 g d1 (m3 - uk m1) / (2 m1 + 2 m3 + m2)]

(d) g = 9.81 m/s^2

d1 = 2 m

v = 4.25 m/s


(e) w = v / r = 21.2 rad/s