Problem. 10: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = (æ, y, z) is Kr , where K is a constant. Find the work done as the particle moves along a straight line from (2, 0, 0) to (2, 4, 4). F(r) r|
Problem. 10: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = (æ, y, z) is Kr , where K is a constant. Find the work done as the particle moves along a straight line from (2, 0, 0) to (2, 4, 4). F(r) r|
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![**Problem 10:** The force exerted by an electric charge at the origin on a charged particle at a point \((x, y, z)\) with position vector \(\mathbf{r} = \langle x, y, z \rangle\) is
\[
\mathbf{F}(\mathbf{r}) = \frac{K \mathbf{r}}{|\mathbf{r}|^3}
\]
where \(K\) is a constant. Find the work done as the particle moves along a straight line from \((2, 0, 0)\) to \((2, 4, 4)\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff5a51b5-5673-4a28-9ceb-cf08c6e63caa%2F0d8e33ed-6724-4293-8e16-2ca88cc764f4%2Flfwyvlr_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 10:** The force exerted by an electric charge at the origin on a charged particle at a point \((x, y, z)\) with position vector \(\mathbf{r} = \langle x, y, z \rangle\) is
\[
\mathbf{F}(\mathbf{r}) = \frac{K \mathbf{r}}{|\mathbf{r}|^3}
\]
where \(K\) is a constant. Find the work done as the particle moves along a straight line from \((2, 0, 0)\) to \((2, 4, 4)\).
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