Uncertainty Principle and kinetic energy

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The discussion revolves around two physics problems related to the uncertainty principle and kinetic energy. The first problem involves calculating the time required to measure the kinetic energy of an electron and a 1.0g insect, both moving at 10.0 m/s, with a specified uncertainty. The second problem focuses on determining the uncertainty in the rest mass of the eta meson, given its rest mass and mean lifetime. Participants are encouraged to provide relevant equations and insights to assist in solving these problems. The thread highlights the application of the uncertainty principle in practical scenarios.
tomnomnom
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Homework Statement


Hey everyone. I've been trying to figure out these two problems for a few hours now to no luck. I really have no idea where to start. Hopefully, someone can help me out.

1) a) How much time is needed to measure the kinetic energy of an electron whose speed is 10.0 m/s with an uncertainty of no more than .1%? How far will the electron have traveled in this period of time? b) Make the same calculations for a 1.0g insect whose speed is the same. What do these sets of figures indicate?

2) An unstable elemtary particle called the eta meson has a rest mass of 549 MeV/c^2 and a mean lifetime of 7.00x10^-19s. What is the uncertainty in its rest mass?
 
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Start by listing out all relevant equations, like the uncertainty principle.
 

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