One is accelerating 20kg, one is accelerating 10 kg, right?
F=systemmass*a
A Modified Atwood's machine (the pulley with two mass system used in class on in the Modified Atwood physlet) has a 10.0 N cart on a frictionless, horizontal track with a 10.0 N hanging weight attached to a string connecting the two weights. A second track is set up where the hanging weight is replaced by a person who can maintain a 10.0 N pull on the string (as measured with a force probe). Which set-up has the greater acceleration?
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