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

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. Calculate the mean and standard deviation of the force measurements on each sensor. Write your answer below in the form F plusminus sigma_F (units) keeping at least one more significant figure than you would for a final value. (This is to avoid rounding errors in intermediate calculations. For information on significant figures and WebAssign, click this link:) Calculate net force on the cart from the two strings. (Be careful about direction!) Use error propagation formulas to calculate the standard deviation of the net force. Use the results of your calculation to write the result with correct sig figs and units.

Explanation / Answer

Net Force = F1 -F2

F net = 1.080 - 0.354 = 0.726 N ( towards negative x direction ) with 0.254 error

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