(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An assembly line has a staple gun that rolls to the left at 1.0 m/s while parts to be stapled roll past it to the right at 3.0 m/s. The staple gun fires 10 staples per second. How far apart are the staples in the finished part?

2. Relevant equations

r = r' + Vt

3. The attempt at a solution

I set the frames of reference to be the staple gun (S) and the part to be stapled (S'), assuming that their origins coincide at t = 0. The coordinate system will be right = positive. I think that the object is also the part to be stapled.

The velocity of the staple gun relative to the part will be -4.0m/s while the velocity of the part relative to the staple gun will be 4.0 m/s. (Do I need any formulas for that?)

The position of the part is then given by:

r = r' + Vt

Since I assumed that the origins coincided at t = 0, then position is:

r = Vt

So then substituting the velocity and assuming 1 sec has elapsed:

r = (4.0m/s)(1.0s)

r = 4.0 m

Since the staple gun fires 10 staples/sec, the distance between the staples should be 4.0 m/ 10 staples/sec, but that gives me 0.40 m*sec / staple.

Am I doing something wrong?

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# Galilean Relativity

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