Assignment:
1. A net force of 3.50 N acts on a 2.75 kg object. What is the acceleration of the object?
2. Describe the basic concept of the Atwood's machine. What is the net applied force? What is the mass to which this net force is applied?
3. An Atwood's machine consists of a 1.060 kg mass and a 1.000 kg mass connected by a string over a massless and frictionless pulley. Use Equation 3 to find the acceleration of the system. Assume that g is 9.80 m/s2.
4. Suppose that the system in Question 3 has a frictional force of 0.056 N. Use Equation 4 to determine the acceleration of the system.
The following data were taken with an Atwood's machine for which the total mass m1 + m2 is kept constant. For each of the values of mass difference (rn2 - m1) shown in the table, the time for the system to move x =1.000 m was determined
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(m2 - m1) (kg)
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0.010
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0.020
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0.030
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0.040 0.050
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t (s)
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8.30
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5.06
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3.97
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3.37 2.98
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a (m/s2)
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(m2 - m1)g (N)
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5. From the data above for x and time t, use Equation 6 to calculate the acceleration for each of the applied forces and record them in the table above. Show the calculation for the 0.010 kg mass difference as a sample calculation.
6. From the mass differences (m2 - m1) calculate the applied forces (m2 - m1)g and record them in the table above. Use a value of 9.80 m/s2 for g. Show the calculation for the 0.010 kg mass difference as a sample calculation.
7. Perform a linear least squares fit with the applied force as the vertical axis and the acceleration as the horizontal axis. The slope of the fit is equal to the total mass (m1 + m2)exp and the intercept is the frictional force f. Record those and the value of the correlation coefficient r. (This is the calculation that will be performed for the data of the laboratory.)