Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

name activity 1.2.3 student calculations table 1. work measurements num…

Question

name
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)

Explanation:

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.

Answer:

Number of WashersWeight (N)Distance (m)Work (J)
1050.81.2192~61.93
1565.31.2192~79.61
2076.91.2192~93.75
2587.71.2192~106.92
3097.61.2192~119.00

(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)