How Does Acceleration Affect Weight Measurements on a Scale?

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SUMMARY

The discussion focuses on calculating the reading of a bathroom scale when a 60 kg individual is accelerated upwards at 3 m/s². The relevant equations used include F = m(g - a) and F = ma. The final calculation shows that the scale reads 78 kg, which is derived from the total force of 780 N acting on the scale. This reading accounts for both the gravitational force and the additional force due to acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of gravitational force calculations (Weight = mass × gravity)
  • Familiarity with basic physics concepts of force and acceleration
  • Ability to manipulate equations involving forces
NEXT STEPS
  • Study the effects of varying acceleration on weight measurements
  • Explore the concept of apparent weight in different acceleration scenarios
  • Learn about the principles of forces in non-inertial reference frames
  • Investigate real-world applications of these physics concepts in engineering
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the relationship between acceleration and weight measurements on scales.

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Homework Statement



the question given is:

What would the reading on a bathroom scale be if a 60kg pupil was accelerated upwards at a rate of 3m.s-2


Homework Equations



F=m(g-a)
F=ma

The Attempt at a Solution




F=m(g-a)
F=60kg(10m.s-2-3m.s-2)
F=600-180
F=420N which is equal to the force on the person
The reading on the scale is therefore (42kg + 60kg) or 102kg but this seems too high

Thanks for helping :wink:
 
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The resultant force,F is upwards. The forces acting are the normal reaction upwards,R, and the weight W. Can you make a simple relationship between F,W and R?
 
Thanks for the help rock but i figured it out just before i saw your post.

F=ma

F=60x3
F=180N
=extra force added to weight

therefore the total value showed on the scale is
W= 180N + 600N (the mass converted to weight)
W= 780N
M= 78kg

Thanks again for the help
 

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