An experiment explores the relationship between the period of a vibrating spring and the mass m in a pan holder. The student is instructed to set up the apparatus as shown here, with a mass of 200 g in the pan.

The student is then told to move the pan downwards by approximately 1 cm and to release it so that it vibrates in a vertical direction. The student is asked to record the time taken for 20 oscillations of the spring, and then to repeat the procedure, using masses between 20 g and 200 g until She has six sets of readings. Columns are provided in the table for √m and T, the period of the pendulum.

This table shows the readings taken by a student with the different masses.

a. Copy the table and include values for √m and T.

b. Plot a graph of T on the y-axis against √m on the x-axis. Draw the straight line of best fit.

c. Determine the gradient and y-intercept of this line.

d. The quantities T and m are related by the equation:

T = C + k √m

Where C and k are constants. Find the values of the two constants C and k. Give appropriate units.

Transcribed Image Text:

clamp -spring mass pan to hold masses Figure P1.21