Net Force on 5.32 x 10^4 kg Airplane: Solve the Mystery

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Homework Help Overview

The problem involves calculating the net force acting on an airplane with a specified mass and acceleration. The context is rooted in dynamics, specifically applying Newton's second law of motion.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of net force using the formula Fnet=ma and question the accuracy of the book's answer. There is an exploration of significant figures and their implications on the final result.

Discussion Status

Participants are actively engaging with the problem, questioning the validity of the book's answer, and discussing the significance of rounding and significant figures. There is no explicit consensus on the correct answer yet, but guidance regarding significant figures has been offered.

Contextual Notes

There is a mention of potential discrepancies in the answer key of the textbook, and participants are considering the implications of significant figures based on the given data values.

Balsam
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Homework Statement


An airplane with a mass of 5.32 x 10^4 Kg accelerates down the runway at 1.76 m/s^2 [forward]. Calculate the net force acting on the airplane.

Homework Equations


Fnet=ma

The Attempt at a Solution



I did this by multiplying the two given values, but my answer was 93632N [forward]. The answer in the book is 3.02 x 10^4 N[forward]. I have no idea where I went wrong- I've tried this twice and got the same answer both times
 
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It's quite possible that the book has an error in its answer key. Sometimes they change the question values for new editions and miss changing the answers accordingly.

Your result looks good in terms of magnitude, but you should round to the correct number of significant figures.
 
gneill said:
It's quite possible that the book has an error in its answer key. Sometimes they change the question values for new editions and miss changing the answers accordingly.

Your result looks good in terms of magnitude, but you should round to the correct number of significant figures.

Would the correct significant figures be 9.4 x 10^4 N?
 
Balsam said:
Would the correct significant figures be 9.4 x 10^4 N?
How many significant figures do the given data values have? How many in "9.4"?
 

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