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activity 1.2.3 student calculations
table 1. work measurements
number of washers | weight (0.0 newtons) | distance (0.0 meters) | work (0.0 joules) (newtons x meters)
5 | 21.7 | 4ft |
10 | 50.8 | 4ft |
15 | 65.3 | 4ft |
20 | 76.9 | 4ft |
25 | 87.7 | 4ft |
30 | 97.6 | 4ft |
work calculations
(work = newtons x meters)
Step1: Convert feet to meters
We know that 1 foot = 0.3048 meters, so 4 feet = \(4\times0.3048 = 1.2192\) meters.
Step2: Calculate work for 5 washers
Work formula: \(W = F\times d\), where \(F = 21.7\) N, \(d = 1.2192\) m.
\(W_1=21.7\times1.2192\approx26.46\) joules.
Step3: Calculate work for 10 washers
\(F = 50.8\) N, \(d = 1.2192\) m.
\(W_2 = 50.8\times1.2192\approx61.93\) joules.
Step4: Calculate work for 15 washers
\(F = 65.3\) N, \(d = 1.2192\) m.
\(W_3=65.3\times1.2192\approx79.61\) joules.
Step5: Calculate work for 20 washers
\(F = 76.9\) N, \(d = 1.2192\) m.
\(W_4 = 76.9\times1.2192\approx93.75\) joules.
Step6: Calculate work for 25 washers
\(F = 87.7\) N, \(d = 1.2192\) m.
\(W_5=87.7\times1.2192\approx106.92\) joules.
Step7: Calculate work for 30 washers
\(F = 97.6\) N, \(d = 1.2192\) m.
\(W_6=97.6\times1.2192\approx119.00\) joules.
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| Number of Washers | Weight (N) | Distance (m) | Work (J) |
|---|---|---|---|
| 10 | 50.8 | 1.2192 | ~61.93 |
| 15 | 65.3 | 1.2192 | ~79.61 |
| 20 | 76.9 | 1.2192 | ~93.75 |
| 25 | 87.7 | 1.2192 | ~106.92 |
| 30 | 97.6 | 1.2192 | ~119.00 |
(If you only need the work values calculated: For 5 washers: ~26.46 J, 10 washers: ~61.93 J, 15 washers: ~79.61 J, 20 washers: ~93.75 J, 25 washers: ~106.92 J, 30 washers: ~119.00 J)