The figure below shows Atwood\'s machine, in which two containers are connected

Question

The figure below shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0, container 1 has mass 1.30 kg and container 2 has mass 3.10 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.220 kg/s.

a)At what rate is the acceleration magnitude of the containers changing att= 0?

b)At what rate is the acceleration magnitude of the containers changing att= 3.00 s?

Thank you! Please show all plug and chug calculations with numbers

Explanation / Answer

3.1*9.81-T=3.1*a T-(1.3-0.22*t)*9.81=(1.3-0.22*t)*a a(t=0)=4.01 m/s^2 a(t=3)=6.45 m/s^2

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