How much mechanical work was done by 2 men lifting a boat 24 times?

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Homework Help Overview

The problem involves calculating the total mechanical work done by two men lifting a boat with a mass of 653.2 kg a height of 4 inches, repeated 24 times. The context is within the subject area of mechanics, specifically focusing on work and force.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of work using the formula w=f*d, with one participant attempting to convert mass to weight and height to meters. There are questions about significant figures and how they affect the final answer.

Discussion Status

The discussion is ongoing, with participants exploring the implications of significant figures on the final answer. There is a recognition of differing interpretations regarding the expected precision of the answer, but no consensus has been reached.

Contextual Notes

Participants note that the height of 4 inches has only one significant digit, which may influence the expected precision of the final answer. There is also mention of a discrepancy between the calculated answer and the textbook answer.

maxdaddy
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Homework Statement



2 men lift a total mass of 653.2 kg 4in off the ground a total of 24 times. Estimate the total mechanical work done by the 2 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.)

Homework Equations


w=f*d


The Attempt at a Solution


w=f*d
First convert kg to Newtons 653.2*9.8=6401N and inches to meters 4in=.102m
I tried the f*d and came up with 653 and then multiplied that by 24 and got 15672. The answer in the back of the textbook gives 2x10^4 J and I cannot figure it out.
 
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I suppose you are expected to give the answer with only one significant digit. The height (4 in) has only one digit so the answer should have one SD too.
 
nasu said:
I suppose you are expected to give the answer with only one significant digit. The height (4 in) has only one digit so the answer should have one SD too.

No if you read my post the answer the textbook gives is 2*10^4J and I cannot figure out how to get the answer
 
maxdaddy said:
No if you read my post the answer the textbook gives is 2*10^4J and I cannot figure out how to get the answer

Your answer it is 2x10^4 if you round it to one significant digit.
 

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