Question
Robert, standing at the rear end of a railroad car of length $100 . \mathrm{m}$, shoots an arrow toward the front end of the car. He measures the velocity of the arrow as $0.300 c .$ Jenny, who was standing on the platform, saw all of this as the train passed her with a velocity of $0.750 c$. Determine the following as observed by Jenny:a) the length of the carb) the velocity of the arrowc) the time taken by arrow to cover the length of the card) the distance covered by the arrow
Step 1
The length of the car is given by $L = L_0 \sqrt{1 - \frac{v^2}{c^2}}$, where $L_0$ is the proper length, $v$ is the velocity of the car, and $c$ is the speed of light. Substituting the given values, we get \[L = 100 \, \text{m} \sqrt{1 - Show more…
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