Consider Anna, Bob, and Carl in the twin paradox. (a) According to Anna, when Planet X passes her, clocks on Planet X and Earth tick simultaneously. Using the Lorentz transformation equations, calculate the time interval between these two events In the Earth−Planet X frame. (b) According to Carl, when Planet X passes, clocks on Planet X and Earth tick simultaneously. What is the time interval between these events in the Earth−Planet X frame? (c) What does the clock on Planet X read when Carl and Anna reach it? Show how your results from parts (a) and (b) agree with Figure 2.20.
Consider Anna, Bob, and Carl in the twin paradox. (a) According to Anna, when Planet X passes her, clocks on Planet X and Earth tick simultaneously. Using the Lorentz transformation equations, calculate the time interval between these two events In the Earth−Planet X frame. (b) According to Carl, when Planet X passes, clocks on Planet X and Earth tick simultaneously. What is the time interval between these events in the Earth−Planet X frame? (c) What does the clock on Planet X read when Carl and Anna reach it? Show how your results from parts (a) and (b) agree with Figure 2.20.
Consider Anna, Bob, and Carl in the twin paradox. (a) According to Anna, when Planet X passes her, clocks on Planet X and Earth tick simultaneously. Using the Lorentz transformation equations, calculate the time interval between these two events In the Earth−Planet X frame. (b) According to Carl, when Planet X passes, clocks on Planet X and Earth tick simultaneously. What is the time interval between these events in the Earth−Planet X frame? (c) What does the clock on Planet X read when Carl and Anna reach it? Show how your results from parts (a) and (b) agree with Figure 2.20.
The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE DO NOT USE LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!
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The force of the quadriceps (Fq) and force of the patellar tendon (Fp) is identical (i.e., 1000 N each). In the figure below angle in blue is Θ and the in green is half Θ (i.e., Θ/2). A) Calculate the patellar reaction force (i.e., R resultant vector is the sum of the horizontal component of the quadriceps and patellar tendon force) at the following joint angles: you need to provide a diagram showing the vector and its components for each part. a1) Θ = 160 degrees, a2) Θ = 90 degrees. NOTE: USE ONLY TRIGNOMETRIC FUNCTIONS (SIN/TAN/COS, NO LAW OF COSINES, NO COMPLICATED ALGEBRAIC EQUATIONS OR ANYTHING ELSE, ETC. Question A has 2 parts!
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