# Pi Measons - frame of reference

In summary, the π-meson created 2.8 km from the surface of the Earth has a rest decay time of 9.0 x 10^-6 s and travels straight down at 0.95c. In the Earth frame, the distance to the lab is 874 m and the decay time is 2.88 x 10^-5 s. In the π-meson's frame, it is likely to decay before reaching the Earth's surface. In Doug's frame, it will decay in transit if it does not survive long enough to reach the surface.

1. Doug in a lab on Earth observes a π-meson is created 2.8 km from the surface of the Earth. It has a rest decay time is 9.0 x 10-6 s and it travels straight down to the Earth at 0.95c.

a) What distance would the π-meson measure to the lab on Earth? [4]
b) To Doug in the lab on Earth, what is the decay time of the π-meson? [4]
c) In the π-meson’s frame of reference, will it make it to the Earth? Include a calculation. [2]
d) In the Earth frame of reference, will the π-meson make it to the surface? Include a calculation.

a) the distance calculated is 874 m
b) time calculated is 2.88 x 10^-5 s
c) I don't know what this means - can someone please explain pi measons and there frame of reference to Earth
d) i don't know what this is asking

thank you :)

When the pi meson decays, it turns into other particles. The question is asking you if the meson is likely to reach the surface of the Earth intact or if it will decay in transit instead.

In the frame of the pi meson, it's at rest, so it'll decay on average in $9.0\times10^{-6}~\textrm{s}$. It sees the surface of the Earth starting at 874 meters away and moving toward it 0.95c. So the question is asking you if the surface of the Earth will reach the meson before it's likely to decay.

Similarly, in Doug's frame, you see the meson traveling down toward the Earth. If it doesn't survive long enough, it will decay in transit and never reach the surface.

Obviously, you should find the same answer in both frames. It either reaches the surface or it doesn't. You need to show calculations for each frame to support your conclusion.

## 1. What are Pi Measons?

Pi Measons are hypothetical particles that are used in theoretical physics to explain the concept of frame of reference. They are not actual particles, but rather a tool to help understand the relationship between different frames of reference.

## 2. How do Pi Measons relate to frame of reference?

Pi Measons are used to explain how measurements and observations can differ depending on the frame of reference they are taken from. They help to understand how different observers can have different perceptions of the same event.

## 3. Are Pi Measons proven to exist?

No, Pi Measons are a theoretical concept and have not been proven to exist. They are used as a tool to help understand frame of reference and are not considered to be actual particles.

## 4. Can Pi Measons be observed or measured?

Since Pi Measons are a hypothetical concept, they cannot be directly observed or measured. However, their effects can be seen in observations and measurements taken from different frames of reference.

## 5. How are Pi Measons used in physics?

Pi Measons are primarily used in theoretical physics to explain concepts related to frame of reference. They are also used in thought experiments and simulations to help understand the effects of different frames of reference on observations and measurements.

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