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4 P

Expert-verifiedFound in: Page 177

Book edition
9th Edition

Author(s)
Raymond A. Serway, John W. Jewett

Pages
1624 pages

ISBN
9781133947271

**The record number of boat lifts, including the boat and its ten crew members, was achieved by Sami Heinonen and Juha Räsänen of Sweden in 2000. They lifted a total mass of 653.2Kg approximately 4 Inches off the ground a total of 24 times. Estimate the total work done by the two men on the boat in this record lift, ignoring the negative work done by the men when they lowered the boat back to the ground.**

The total work done by the two men on the boat was 15363.36J.

The total mass of the boat and the crew was

$m=653.2\text{kg}$

Displacement of the boat each time was

$h=4\text{inches}\phantom{\rule{0ex}{0ex}}=4\xb7\left(1\text{inches}\times \frac{1\text{m}}{\text{39.3701}\text{inches}}\right)\phantom{\rule{0ex}{0ex}}=0.1\text{m}\phantom{\rule{0ex}{0ex}}$

Number of time the boat was raised = 24

Work done to raise a mass m by height h is

w=mgh......................................1

Here g is the acceleration due to gravity of value

g=9.8 m/s^{2}

From equation (I), the work done to raise the boat each time was

$W=653.2\text{kg}\times 9.8{\text{m/s}}^{\text{2}}\times 0.1\text{m}\phantom{\rule{0ex}{0ex}}=640.14\xb7\left(1\text{kg}\xb7{\text{m}}^{2}{\text{/s}}^{\text{2}}\times \frac{1\text{J}}{1\text{kg}\xb7{\text{m}}^{2}{\text{/s}}^{\text{2}}}\right)\phantom{\rule{0ex}{0ex}}=640.14\text{J}\phantom{\rule{0ex}{0ex}}$

Total work done to repeat this 24 times was

${W}_{\text{tot}}=24W\phantom{\rule{0ex}{0ex}}=24\times 640.14\text{J}\phantom{\rule{0ex}{0ex}}=15363.36\text{J}\phantom{\rule{0ex}{0ex}}$

Thus the total work done was 15363.36J.

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