A student is determining the spring constant kkk of a tensile spring. The student records the load LLL and the total length lll of the spring as shown in the table below:
| L / NL\text{ / N}L / N | l / mml\text{ / mm}l / mm | e / mme\text{ / mm}e / mm |
|---|---|---|
| 0.000.000.00 | 35.035.035.0 | 0.00.00.0 |
| 2.002.002.00 | 48.048.048.0 | |
| 4.004.004.00 | 59.059.059.0 | |
| 6.006.006.00 | 72.072.072.0 | |
| 8.008.008.00 | 83.083.083.0 | |
| 10.0010.0010.00 | 96.096.096.0 |
Complete the table by calculating the extension e=l−l0e = l - l_0e=l−l0 for each value of load LLL, where l0l_0l0 is the unstretched length of the spring at L=0.00 NL = 0.00\text{ N}L=0.00 N.
State the proper units for the column headings of the table for LLL, lll, and eee.
Describe how a set-square could be used with a metre rule to help measure lll accurately.
The student plots a graph of LLL (on the yyy-axis) against eee (on the xxx-axis) and draws a line of best fit. The line passes through the origin (0.0 mm,0.00 N)(0.0\text{ mm}, 0.00\text{ N})(0.0 mm,0.00 N) and the point (60.0 mm,9.80 N)(60.0\text{ mm}, 9.80\text{ N})(60.0 mm,9.80 N). Determine the gradient GGG of this line.
The spring constant kkk is numerically equal to the gradient GGG. Write down the value of kkk with its appropriate unit to a suitable number of significant figures (2 or 3).
183 exam-style questions on CIE IGCSE Physics 1.5.1a Forces, resultant force and motion. Each one has a worked solution and a mark scheme showing where the marks go.