AP Free Response Question
2009 Form B - B1
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An experiment is performed using the apparatus above. A small disk of mass m
_{1}
on a frictionless table is attached to one end of a string. The string passes through a hole in the table and an attached narrow, vertical plastic tube. An object of mass m
_{2}
is hung at the other end of the string. A student holding the tube makes the
disk rotate in a circle of constant radius
r
, while another student measures the period
P
.
(a) Derive the equation
that relates P and m
_{2}
.
The procedure is repeated, and the period
P
is determined for four different values of m
_{2}
, where m
_{1}
= 0.012 kg and r = 0.80 m. The data, which are presented below, can be used to compute an experimental value for g.
(b) What quantities should be graphed to yield a straight line with a slope that could be used to determine g?
(c) On the grid below, plot the quantities determined in part (b), label the axes, and draw the best-fit line to the data. You may use the blank rows above to record any values you may need to calculate.
(d) Use your graph to calculate the experimental value of g.
Topic Formulas
Description
Published Formula
centripetal acceleration
friction
gravitational potential energy
Hooke's Law
Newton's 2nd Law
Newton's Law of Universal Gravitation
period of a simple pendulum
period of a spring
potential elastic energy
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