AP® Physics C
2004 Free Respon Questions
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2004M1. A rope of length L 英语网站is attached to a support at point C. A person of mass m1 sits on a ledge at position A holding the other end of the rope so that it is horizontal and taut, as shown above. The person then drops off the ledge and swings down on the rope towa
rd position B on a lower ledge where an object of mass m2 is at rest. At position B the person grabs hold of the object and simultaneously lets go of the rope. The person and object then land together in the lake at point D, which is a vertical distance L below position B. Air resistance and the mass of the rope are negligible. Derive expressions for each of the following in terms of m1, m2, L, and g.
freaksharea. The speed of the person just before the collision with the object
b. The tension in the rope just before the collision with the object
c. The speed of the person and object just after the collision
d. The ratio of the kinetic energy of the personobject system before the collision to the kinetic energy after the collision
e. The total horizontal displacement x of the person from position A until the person and object land in the water at point D.
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2004M2. A solid disk of unknown mass and known radius R is ud as a pulley in a lab experiment, as shown above. A small block of mass m is attached to a string, the other end of which is attached to the pulley and wrapped around it veral times. The block of mass m is relead from rest and takes a time t to fall the distance D to the floor.
a. Calculate the linear acceleration a of the falling block in terms of the given quantities.
b. The time t is measured for various heights D and the data are recorded in the following table.
i. What quantities should be graphed in order to best determine the acceleration of the block? Explain your reasoning.cancel
ii. On the grid below, plot the quantities determined in (b) i., label the axes, and draw the bestfit line to the data.
iii. U your graph to calculate the magnitude of the acceleration.
c. Calculate the rotational inertia of the pulley in terms of m, R, a, and fundamental constants.
d. The value of acceleration found in (b)iii, along with numerical values for the given quantities and your answer to (c), can be ud to determine the rotational inertia of the pulley. The pulley is removed from its support and its rotational inertia is found to be greater than this value. Give one explanation for this discrepancy.
