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In the Atwood machine shown below, m 1 = 2.00 kg and m 2 = 5.65 kg. The masses o

ID: 2277657 • Letter: I

Question

In the Atwood machine shown below, m1 = 2.00 kg and m2 = 5.65 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at vi = 2.15 m/s downward.

magnitude m/s direction ---Select---upwardvelocity is zerodownward In the Atwood machine shown below, m1 = 2.00 kg and m2 = 5.65 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at vi = 2.15 m/s downward. How far will m1 descend below its initial level? Find the velocity of m1 after 1.80 s.

Explanation / Answer

acceleration of both blocks = [(m2-m1)*g]/(m1+m2)

= 4.67 m/s^2

v^2 - u^2 = 2*a*s

v=0, u=2.15m/s, a=-4.67m/s^2 negative since opposite to velocity

0 - (2.15)^2 = 2*-4.67*s

s = 0.495 m

v= u + a*t

v = 2.15 + (-4.67)*1.8 = -6.256

Direction : upwards