- #1

LCSphysicist

- 646

- 162

- Homework Statement
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- Relevant Equations
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For a observer on Earth, a rocket takes Mike from Earth to Pluto with a speed of 0.82 c for 33.72 yr. Find the space-time interval for the two events such as Mike leaving the Earth and reaching Pluto considering Pluto is at rest relative to Earth for the observer on Earth.

I confess that i am rather confused reading this question. See:

$$(1) \implies \Delta S² \text{is invariant}.$$

Knowing (1), i thought that the better approach to this question would be to use the framework of the traveller. In his framework, and probably here is my error, i think:

(2) the time it takes, IN HIS FRAMEWORK, to travel, was 33.72 yr (PS: The reasoning i used to conclude that is basically the symmetry of the lorentz transformation. The traveller believe he is stopped and the universe is flowing by him, and he measures the time to be 33.72 yr) (PSS: I think that ##\Delta t/\gamma## is the time in his reference frame measured by us, in another words, as it were measured by our point of view, is that right, isn't?)

(3) The distance between both events, to him, is 0 m.

$$Ds^2 = (3*10^8*33.72*R)^2$$, where R is the conversion from years to second.

Apparenttly my answer is wrong. I don't know why and where is my mistake.

I confess that i am rather confused reading this question. See:

$$(1) \implies \Delta S² \text{is invariant}.$$

Knowing (1), i thought that the better approach to this question would be to use the framework of the traveller. In his framework, and probably here is my error, i think:

(2) the time it takes, IN HIS FRAMEWORK, to travel, was 33.72 yr (PS: The reasoning i used to conclude that is basically the symmetry of the lorentz transformation. The traveller believe he is stopped and the universe is flowing by him, and he measures the time to be 33.72 yr) (PSS: I think that ##\Delta t/\gamma## is the time in his reference frame measured by us, in another words, as it were measured by our point of view, is that right, isn't?)

(3) The distance between both events, to him, is 0 m.

$$Ds^2 = (3*10^8*33.72*R)^2$$, where R is the conversion from years to second.

Apparenttly my answer is wrong. I don't know why and where is my mistake.