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Two force sensors are attached to a cart, and they point in opposite directions.

ID: 1708498 • Letter: T

Question

Two force sensors are attached to a cart, and they point in opposite directions. Strings draped over pulleys with weights of different masses are attached to the force sensor hooks, as shown in the diagram. The cart is held in place, and then released, and the force on each sensor is recorded as the cart accelerates. The experiment is repeated 4 more times, and the data are recorded below.
1) 1.11 0.48
2) 1.47 0.80
3) 1.39 0.73
4) 1.29 0.64
5) 1.56 0.89

Calculate the mean and standard deviation of the force measurements on each sensor. Write your answer below in the form F±sF (units) keeping at least one more significant figure than you would for a final value.
F1 =?
F2= ?

Calculate net force on the cart from the two strings. (Be careful about direction!)

Explanation / Answer

F1 = 1.364 +_ 0.173 N F2 = 0.708 +_ 0.157 N

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