Physics

Problem

![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/50181c3f5d05/2025_11_20_6c008e7ceab86f3b0891g-39.jpg) 2009Bb1 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

P=2 \pi \sqrt{\frac{m_{1} r}{m_{2} g}}

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 \mathrm{~kg}

and

r=0.80 \mathrm{~m}

. The data, which are presented below, can be used to compute an experimental value for

g


$m_{2}(\mathrm{~kg})$	0.020	0.040	0.060	0.080
$P(\mathrm{~s})$	1.40	1.05	0.80	0.75

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

Browse the problem library