Calculate Distance of E. coli Bacteria w/ Acceleration of 151

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AI Thread Summary
The discussion revolves around calculating the distance an E. coli bacterium needs to travel to reach a speed of 12, given an acceleration of 151. The relevant equation used is v^2 = v0^2 + 2ax, where the initial speed (v0) is zero. The calculation yields a distance of 0.48, which is confirmed as correct by other participants. The thread also indicates a request for further assistance on another problem. Overall, the focus is on applying physics equations to solve a specific biological scenario.
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Homework Statement


Approximately 0.1 of the bacteria in an adult human's intestines are Escherichia coli. These bacteria have been observed to move with speeds up to 15 and maximum accelerations of 166 . Suppose an E. coli bacterium in your intestines starts at rest and accelerates at 151 .
How much distance is required for the bacterium to reach a speed of 12 ?

Homework Equations


d=vt
t=v/a
v^2=v0^2+2ax


The Attempt at a Solution


i used v^2=v0^2+2ax
so v0 is 0 (i thiink)
12^2=2(151)x
x=.48
is this correct??
 
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Welcome to PF.

Depending on if your units match, it looks OK.
 
thanks it was correct...could you help me with one more problem?
 

Thread 'Errors and significant figures'

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...
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Thread 'A cylinder connected to a hanging mass'

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...
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