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S_A_V [24]
3 years ago
14

Two events are observed in a frame of reference S to occur at the same space point, with the second event occurring after a time

of 1.70 s . In a second frame S' moving relative to S, the second event is observed to occur after a time of 2.25 s . What is the difference between the positions of the two events as measured in S'?

Physics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

he difference between the positions of the two events as measured in S = 4.42 x 10 8 m

Explanation:

The concept of time dilation is applied to solve the question as shown in the attachment.

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Complete Question

Planet D has a semi-major axis = 60 AU and an orbital period of 18.164 days. A piece of rocky debris in space has a semi major axis of 45.0 AU.  What is its orbital period?

Answer:

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Explanation:

From the question we are told that

   The semi - major axis of the rocky debris  a_R = 45.0\  AU

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          T \  \ \alpha \ \ a^{\frac{3}{2} }

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So  

        \frac{T_D}{T_R}  =  \frac{a^{\frac{3}{2} }}{a_R^{\frac{3}{2} }}

=>     T_R  = T_D *  [\frac{a_R}{a_D} ]^{\frac{3}{2} }  

=>     T_R  = 18.164  *  [\frac{ 45}{60} ]^{\frac{3}{2} }

=>      T_R  = 11.8 \  days  

   

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