Recent content by relativelnr00

So then: (ΔS)2=(Δt)2−(Δx)2=(Δt′)2−(Δx′)2 would in fact be: (ΔS)2=(Δt)^2−(5)^2=(Δ2.5)^2−(Δx′)^2 Removing (ΔS)2 means: (Δt)^2−(5)^2=(Δ2.5)^2−(Δx′)^2 Thus: (Δt)^2+(Δx′)^2=(Δ2.5)^2+(5)^2 Thus (Δt)^2+(Δx′)^2=31.25 But it seems too easy this way if (Δt)^2 is in fact (2.5)^2...

This looks new to me, so I may not have actually learned it yet. (ΔS)2=(Δt)2−(Δx)2=(Δt′)2−(Δx′)2 So the values I currently have are: x = 5 hours t = 2.5 hours The spacetime interval would be measured from within the shuttle, as both events of departing and leaving occur within the observer's...

Orodruin, I assume then that I just solved for problem a), which assumes that the muon's clock measures the same as one on the ground. As for problem b, I have no clue where to start. I feel like I may be missing a formula or equation, or maybe it's one I have not learned yet. I do appreciate...

I'm still unsure about how to approach the first part of the problem, but with the second part: The muon decays when two microseconds have passed by its clock. It's traveling downwards at a speed of .998, so almost the speed of light. Thus: 2 microseconds = 600 meters 600m/0.998 = 601.2 m In...

Would Δx in this case be the 5 hours? As it mentions in the problem, the planets are 5 hours apart in distance and I'm on the shuttle measuring by my watch. I'm sorry if I'm missing any obvious parts of the problem...we only recently began learning about these types of problems and they make...

Chet, would that mean that the time interval would in fact be 5 hours? I attempted to plot a worldline graph, but it doesn't seem to make sense if I use 5 hours for the t axis instead of 2.5 hours...

I only recently learned what time dilation is, so I'm still very unfamiliar with how the concept works within the math aspect of special relativity. What confuses me most is that the first part of this problem asks for an absolute time version, while the second part asks for something different...

Homework Statement The new earth-Pluto SuperShuttle line boast that it can take you between the two planets (which are about 5.0 h apart in distance) in 2.5 h according to your watch on board the shuttle. Assume that the shuttle travels at a constant velocity. a.) What time interval must the...

Homework Statement [/B] 1.) A muon is created by a cosmic ray interaction at an altitude of 60km. Imagine that after its creation, the muon hurtles downward at a speed of 0.998, as measure by a ground-based observer. After the muon’s “internal clock” registers 2.0μs , the muon decays? a.) If...

Hello everyone. I joined this forum mainly because I'm having immense difficulty with a class on the history of space and time. We are currently in a section regarding special relativity, and I want to learn how to solve these problems on my own.