Calculate Elevator Accel. - FN=mg+ma

  • Thread starter Thread starter mpd105
  • Start date Start date
  • Tags Tags
    Elevator
AI Thread Summary
To calculate the elevator's acceleration, the person’s weight reading on the scale is 0.71 times their regular weight, indicating the elevator is accelerating downward. The equation FN = mg - ma is used, where FN is the normal force, mg is the gravitational force, and ma is the force due to acceleration. By substituting N' with 0.71mg, the equation becomes 0.71mg = mg - ma. Rearranging gives ma = mg - 0.71mg, leading to ma = 0.29mg. The acceleration of the elevator can then be calculated as a = 0.29g, where g is the acceleration due to gravity.
mpd105
Messages
1
Reaction score
0

Homework Statement


A person stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale briefly reads only 0.71 of the person's regular weight. Calculate the magnitude of the acceleration of the elevator.


Homework Equations


FN=mg+ma


The Attempt at a Solution


With the way the problem is worded, I'm assuming that the elevator is going down, which could mean that the equation should be FN=mg-ma? Other than assuming that I really have no idea how to start this problem.
 
Physics news on Phys.org
You are in an elevator at rest standing on a scale. What are the forces that act on you?

Sum F = N - mg = o

Now the elevator accelerates downward with acceleration a, what are the forces that act on you?

Sum F = N' - mg = ma

But N' = .71mg
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top