How Does Acceleration Affect Weight Measurements on a Scale?

In summary, the question asks what the reading on a bathroom scale would be if a 60kg pupil was accelerated upwards at a rate of 3m.s-2. The solution involves using the equations F=m(g-a), F=ma and understanding the relationships between the forces acting on the person. The final result is a reading of 78kg on the scale.
  • #1
snipefour
2
0

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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  • #2
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?
 
  • #3
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
 

FAQ: How Does Acceleration Affect Weight Measurements on a Scale?

What is the formula for elevator acceleration?

The formula for elevator acceleration is a = F/m, where a is acceleration, F is the force applied to the elevator, and m is the mass of the elevator and its contents.

How do you calculate elevator acceleration?

To calculate elevator acceleration, you need to divide the force applied to the elevator by the mass of the elevator and its contents. This can be represented as a = F/m or a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time.

What units are used for elevator acceleration?

Elevator acceleration is typically measured in meters per second squared (m/s²) or feet per second squared (ft/s²).

What factors can affect elevator acceleration?

The main factors that can affect elevator acceleration are the force applied to the elevator, the mass of the elevator and its contents, and any external forces such as friction or air resistance.

How does elevator acceleration affect passenger experience?

Elevator acceleration can affect passenger experience in terms of comfort and perception of speed. A higher acceleration can result in a more noticeable feeling of movement, while a lower acceleration may make the ride feel smoother and slower.

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