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A 0.840- kg glider on a level air track is joined by strings to two hanging mass

ID: 1316991 • Letter: A

Question

A 0.840- kg glider on a level air track is joined by strings to two hanging masses. As seen in the figure, the mass on the left is 4.85 kg and the one on the right is 3.62 kg The strings have negligible mass and pass over light, frictionless pulleys.

A)Find the acceleration of the masses when the air flow is turned off and the coefficient of friction between the glider and the track is 0.33. Take positive to be an acceleration to the right.

B)Find the tension in the string on the left between the glider and the 4.85- kg mass when the air flow is turned off and the coefficient of friction between the glider and the track is 0.33.

C)Find the tension in the string on the right between the glider and the 3.62- kg mass when the air flow is turned off and the coefficient of friction between the glider and the track is 0.33.

Please do not use a solution to a question similar to this one. I have already looked up similar problems and cannot solve my own. Thanks!

Explanation / Answer

a)
a = (3.62 + (0.33)(0.840 - 4.85)(9.80665) / (3.62 + 0.840 + 4.85)
a ? - 1.003628 m/s^2 ? - 1.00 m/s^2

b)
Tleft ? (4.85 kg)(9.80665 - 1.003628)
Tleft ? 42.69466 N ? 42.7 N

c)
Tright ? (3.62 kg)(9.80665 + 1.003628)
Tright ? 39.13321 N ? 39.1 N