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| <h2>Solutions of Savchenko Problems in Physics</h2> | | <h2>Solutions of Savchenko Problems in Physics</h2> |
| <p class="author"> | | <p class="author"> |
| Aliaksandr Melnichenka <br/> | | Aliaksandr Melnichenka <br/> |
| October 2023 | | October 2023 |
| </p> | | </p> |
| </header> | | </header> |
| | | |
| <h3 id="back-link"><a href="../../#1.4">$\leftarrow$Back</a></h3> | | <h3 id="back-link"><a href="../../#1.4">$\leftarrow$Back</a></h3> |
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| <h3> Statement </h3> | | <h3> Statement </h3> |
| <p> | | <p> |
| $1.4.2.$ In the figure, the velocities of six hares released by the old Mazai are shown in a coordinate system that is stationary relative to the Mazai. Try drawing the velocities of Mazai and the other hares in a coordinate system that is stationary relative to hare $1$. | | $1.4.2.$ In the figure, the velocities of six hares released by the old Mazai are shown in a coordinate system that is stationary relative to the Mazai. Try drawing the velocities of Mazai and the other hares in a coordinate system that is stationary relative to hare $1$. |
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| loading="lazy" width="150" /> | | loading="lazy" width="150" /> |
| <figcaption> | | <figcaption> |
| For problem $1.4.2$ | | For problem $1.4.2$ |
| </figcaption> | | </figcaption> |
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| <p> | | <p> |
| </p> | | </p> |
| | | |
| <h3>Solution</h3> | | <h3>Solution</h3> |
| <p> | | <p> |
| <p > | | <p > |
| To go to the inertial reference frame associated with the first hare, you need to subtract the velocity vector of the 1st hare from all other velocity vectors | | To go to the inertial reference frame associated with the first hare, you need to subtract the velocity vector of the 1st hare from all other velocity vectors |
| </p> | | </p> |
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| loading="lazy" width="400" /> | | loading="lazy" width="400" /> |
| </figure> | | </figure> |
| </center> | | </center> |
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| <p > | | <p > |
| Thus, the desired velocity pattern looks like this | | Thus, the desired velocity pattern looks like this |
| </p> | | </p> |
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| <figure> | | <figure> |
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| loading="lazy" width="150" /> | | loading="lazy" width="150" /> |
| <figcaption> | | <figcaption> |
| Hares' velocities in the inertial reference frame of the first hare | | Hares' velocities in the inertial reference frame of the first hare |
| </figcaption> | | </figcaption> |
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