Правка раздела «Answer»
en/7.4.18.md
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| $7.4.18.$ Two identical particles with charge $q$ and velocities $u$ and $v$ lying in the same plane, making up angles $\alpha$ and $\beta$ with a line connecting them, respectively, are located at a distance $l$ from each other. Determine the mass of the particles if it is known that the minimum distance to which they approach is equal to $r$. | |||
| ### Solution | |||
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| @@ -12,6 +12,8 @@Solution | |||
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| m =\frac{4q^2(l-r)}{rl\left[u^2+v^2+2uv\cos(\alpha+\beta)-\frac{l^2}{r^2}(u\sin\alpha-v\sin\beta)^2\right]} | |||
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| + | </div> | ||
| ### Statement | ### Statement | ||
| $7.4.18.$ Two identical particles with charge $q$ and velocities $u$ and $v$ lying in the same plane, making up angles $\alpha$ and $\beta$ with a line connecting them, respectively, are located at a distance $l$ from each other. Determine the mass of the particles if it is known that the minimum distance to which they approach is equal to $r$. | $7.4.18.$ Two identical particles with charge $q$ and velocities $u$ and $v$ lying in the same plane, making up angles $\alpha$ and $\beta$ with a line connecting them, respectively, are located at a distance $l$ from each other. Determine the mass of the particles if it is known that the minimum distance to which they approach is equal to $r$. | ||
| ### Solution | ### Solution | ||
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| @@ -12,6 +12,8 @@Solution | |||
| #### Answer | #### Answer | ||
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| $$ | $$ | ||
| m =\frac{4q^2(l-r)}{rl\left[u^2+v^2+2uv\cos(\alpha+\beta)-\frac{l^2}{r^2}(u\sin\alpha-v\sin\beta)^2\right]} | m =\frac{4q^2(l-r)}{rl\left[u^2+v^2+2uv\cos(\alpha+\beta)-\frac{l^2}{r^2}(u\sin\alpha-v\sin\beta)^2\right]} | ||
| $$ | $$ | ||
| </div> | |||