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ame S' moves past frame S with a speed of v₁ = 0.610c. Two students in frame S' with a separation of d' = 1.75 x 10¹2 m (measured in S') are throwing a ball back and forth and are observed by ird student at rest in frame S. Owen throws the ball to Dina at v₂ = 0.810c (according to Owen). S Dina Ed Owen с x a) How fast is the ball moving, according to Dina? (Give your answer in terms of c). с b) What time interval (in s) is required for the ball to reach her, according to Dina? c) How far apart (in m) are Owen and Dina, according to Ed? m d) How fast is the ball moving, according to Ed? (Give your answer in terms of c.) e) What time interval (in s) is required for the ball to reach Dina, according to Ed?

ame S' moves past frame S with a speed of v₁ = 0.610c. Two students in frame S' with a separation of d' = 1.75 x 10¹2 m (measured in S') are throwing a ball back and forth and are observed by ird student at rest in frame S. Owen throws the ball to Dina at v₂ = 0.810c (according to Owen). S Dina Ed Owen с x a) How fast is the ball moving, according to Dina? (Give your answer in terms of c). с b) What time interval (in s) is required for the ball to reach her, according to Dina? c) How far apart (in m) are Owen and Dina, according to Ed? m d) How fast is the ball moving, according to Ed? (Give your answer in terms of c.) e) What time interval (in s) is required for the ball to reach Dina, according to Ed?

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**Relativistic Motion Problem** **Scenario:** Frame \( S' \) moves past frame \( S \) with a speed of \( v_1 = 0.610c \). Two students in frame \( S' \) with a separation of \( d' = 1.75 \times 10^{12} \) m (measured in \( S' \)) are throwing a ball back and forth and are observed by a third student at rest in frame \( S \). Owen throws the ball to Dina at \( v_2 = 0.810c \) (according to Owen). **Diagram:** The diagram shows a frame \( S' \) moving to the left with velocity \( v_1 \). Dina is depicted to the left, and Owen to the right, separated by \( d' \). Ed is at rest in frame \( S \). **Problems:** (a) How fast is the ball moving, according to Dina? (Give your answer in terms of \( c \)). - [Input Box] \( c \) (b) What time interval (in s) is required for the ball to reach her, according to Dina? - [Input Box] s (c) How far apart (in m) are Owen and Dina, according to Ed? - [Input Box] m (d) How fast is the ball moving, according to Ed? (Give your answer in terms of \( c \)). - [Input Box] \( c \) (e) What time interval (in s) is required for the ball to reach Dina, according to Ed? - [Input Box] s **Explanation:** To solve these problems, consider the effects of special relativity, such as time dilation and length contraction, due to the relativistic speeds involved. Each frame of reference, \( S \) and \( S' \), will perceive the motion differently due to these relativistic effects.
Transcribed Image Text:**Relativistic Motion Problem** **Scenario:** Frame \( S' \) moves past frame \( S \) with a speed of \( v_1 = 0.610c \). Two students in frame \( S' \) with a separation of \( d' = 1.75 \times 10^{12} \) m (measured in \( S' \)) are throwing a ball back and forth and are observed by a third student at rest in frame \( S \). Owen throws the ball to Dina at \( v_2 = 0.810c \) (according to Owen). **Diagram:** The diagram shows a frame \( S' \) moving to the left with velocity \( v_1 \). Dina is depicted to the left, and Owen to the right, separated by \( d' \). Ed is at rest in frame \( S \). **Problems:** (a) How fast is the ball moving, according to Dina? (Give your answer in terms of \( c \)). - [Input Box] \( c \) (b) What time interval (in s) is required for the ball to reach her, according to Dina? - [Input Box] s (c) How far apart (in m) are Owen and Dina, according to Ed? - [Input Box] m (d) How fast is the ball moving, according to Ed? (Give your answer in terms of \( c \)). - [Input Box] \( c \) (e) What time interval (in s) is required for the ball to reach Dina, according to Ed? - [Input Box] s **Explanation:** To solve these problems, consider the effects of special relativity, such as time dilation and length contraction, due to the relativistic speeds involved. Each frame of reference, \( S \) and \( S' \), will perceive the motion differently due to these relativistic effects.
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