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).
245 exam-style questions on CIE IGCSE Physics 1.5 Forces, covering 1.5.1a Forces, resultant force and motion, 1.5.1b Load–extension graphs and the spring constant, 1.5.1c Friction and drag, 1.5.1d Force, mass and acceleration, 1.5.1e Motion in a circular path, 1.5.2a Moment of a force, 1.5.2b Principle of moments and equilibrium, and 1.5.3 Centre of gravity and stability. Each one has a worked solution and a mark scheme showing where the marks go.