Physics

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I wondered if someone would check my work concerning an Atwood's Machine. (I am led to believe the answers for these two questions should be the same but I'm not coming out that way.)Thank you!

8.) Caluclate the tension in the Atwood's Machine string for the case when m2 is 180 grams and m1 is 220 grams. Assume system is moving freely. The desired tension value is tension in string connected to 220 gram mass.

m1(g) -m2(g) = ma
.220(9.8) -.180(9.8) = .400a
2.156-1.764 = .400a
a=.98m/s^2

T - m1g = ma
T - .220(9.8) = .220(9.8)
T - 2.156 = .2156
T = 2.37

9.) Caluclate the tension in the Atwood's Machine string for the case when m2 is 180 grams and m1 is 220 grams. Assume system is moving freely. The desired tension value is tension in string connected to 180gram mass.

m1(g) -m2(g) = ma
.220(9.8) -.180(9.8) = .400a
2.156-1.764 = .400a
a=.98m/s^2

T - m2g = ma
T - .180(9.8) = .180(9.8)
T - 1.764 = .1764
T = 1.94

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