Draw a straight line that best represents the data. Clearly scale and label all axes including units, if appropriate. (d) Plot the data points for the quantities indicated in Part C on the graph below. The masses of the two blocks, M₁ and M₂, can be varied. An Atwood's machine consists of two blocks connected by a light string that passes over a frictionless pulley of negligible mass, as shown in the figure above.
HOW TO FIT AN EQUATION TO YOUR GRAPH IN PASCO CAPSTONE FULL
Note: Full credit is earned if axes are reversed, or if the student uses another acceptable combination. (c) For indicating variables that will create a straight line whose slope can be used to determine g Use the remaining rows in the table above, as needed, to record any quantities that you indicated that are not given.
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(c) Indicate below which quantities should be graphed to yield a straight line whose slope could be used to calculate a numerical value for the acceleration due to gravity g. The magnitude of the acceleration a was measured for different values of M₁ and M₂, and the data are shown below.
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(iii) For combining the two equations above in such a way that will lead to the correct equationĪ=g 1. (ii) For correctly applying Newton's second law to block 2 (b) Using the forces in your diagrams above, write an equation applying Newton's second law to each block and use these two equations to derive the magnitude of the acceleration of the blocks and show that it is given by a=g (i) For correctly applying Newton's second law to block 1. Note: If any extraneous vectors are drawn, only a maximum of two points may be earned. (iii) For correctly drawing tension on the two blocks as equal in magnitude (ii) For correctly drawing and labeling the vectors for the weight of the block and the tension for block M₂ with the weight larger than the tension (i) For correctly drawing and labeling the vectors for the *weight* of the block and the *tension* for block M₁ with the tension larger than the weight
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The relative lengths of the arrows should show the relative magnitudes of the forces. Each force must be represented by a distinct arrow starting on and pointing away from the appropriate dot. (a) On the dots below, which represent the blocks, draw and label the forces (not components) that act on the blocks.