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 653.2 kg approximately 4 in. off the ground a total of 24 times. Estimate the total mechanical work done by the two men in lifting the boat 24 times, assuming they applied the same force to the boat during each lift. (Neglect any work they may have done allowing the boat to drop back to the ground.)
2*10^4 J
To estimate the total mechanical work done by the two men in lifting the boat 24 times, we need to multiply the force applied to lift the boat by the distance it was lifted, and then multiply that by the number of lifts.
Given:
Mass of the boat and crew = 653.2 kg
Height lifted = 4 in = 0.1016 m
Number of lifts = 24
First, we need to convert the mass in kg to weight in Newtons. We can do this by multiplying the mass by the acceleration due to gravity, which is approximately 9.8 m/s^2.
Weight of the boat and crew = mass x acceleration due to gravity
= 653.2 kg x 9.8 m/s^2
= 6401.36 N
Next, we need to calculate the force applied to lift the boat and crew. Since work is done against gravity, the force applied is equal to the weight.
Force applied = Weight of the boat and crew
= 6401.36 N
Now we can calculate the work done during each lift:
Work done = Force x Distance lifted
= Force applied x Height lifted
= 6401.36 N x 0.1016 m
= 651.664896 J
Finally, to calculate the total mechanical work done by the two men in lifting the boat 24 times, we multiply the work done per lift by the number of lifts:
Total mechanical work done = Work done x Number of lifts
= 651.664896 J x 24
= 15,639.957 J
Therefore, the estimated total mechanical work done by the two men in lifting the boat 24 times is approximately 15,639.957 Joules.