Calculating acceleration of a plane weighing 9800N

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SUMMARY

The acceleration of a plane weighing 9800N, with a forward force of 210000N and a drag force of 500N, can be calculated using Newton's second law, F=ma. The mass of the plane is determined to be 1000kg by dividing the weight by the acceleration due to gravity (9.8 m/s²). The resultant force is calculated as 209500N (210000N - 500N), leading to an acceleration of 209.5 m/s² when using the mass of 1000kg. This calculation highlights the discrepancy in expected mass for a plane, suggesting that the provided weight may not accurately represent a typical aircraft.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Basic knowledge of weight and mass conversion (weight = mass × gravity)
  • Familiarity with forces acting on an object (net force, drag force)
  • Concept of acceleration in physics
NEXT STEPS
  • Study the principles of drag force and its impact on acceleration
  • Learn about the relationship between thrust and weight in aircraft dynamics
  • Explore advanced topics in aerodynamics and aircraft performance
  • Investigate real-world examples of aircraft mass and thrust-to-weight ratios
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Aerospace engineering students, physics learners, and anyone interested in understanding the dynamics of aircraft motion and acceleration calculations.

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Homework Statement



Calculate the acceleration of a plane weighing 9800N when the forward force is 210000N, the drag force due to air resistance is 500N

Homework Equations



F=ma

The Attempt at a Solution



the mass is 1000kg as 9800/9.8 is 100. The resultant force R must be 210000-500=209500

So is the acceleration 209500/1000 or 209500/9800? 209599/9800=21.38ms^2 so that makes a lot more logical sense than 209.5ms^2

But force=massXaccelration not force=weightXacceleration.

I know its another basic question but please someone help stop my head hurting.
 
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1 tonne for a plane is kind of light so that's probably why you're getting such a quick acceleration. I mean even if you didn t take the air resistance into account, the output of energy by the engine is waaaay to big for 1000kg -s of mass.

I think the engine alone would have to weigh a lot more than that
 

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