A mechanized “swinging hammer” is used to drive bolts into a wall. It is known that at the point of contact, the energy dissipated as heat is proportional to the square of the terminal velocity of the hammer. We have collected the following data:
Terminal Velocity (m/s) | Energy Dissipated (J) |
26 | 2 800 |
35 | 4 220 |
40 | 5 380 |
49 | 8 250 |
53 | 1 0 097 |
(a) Manually plot the points on a suitable graph.
(b) Determine the mathematical relationship between the variables using the equations from the chapter.
(c) Using a spreadsheet, plot the points on a suitable graph.
(d) Using a spreadsheet, construct a trendline and determine the equation of the curve and the coefficient of determination.
(e) Compare and discuss the results between the two methods.
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