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olga_2 [115]
4 years ago
6

Identify the force acting on the mass that causes the spring to extend

Physics
1 answer:
blsea [12.9K]4 years ago
4 0

Jjjj. Uirhrhhruuegrur

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An ion's position vector is initially r with arrow = 7.0i hat â 7.0j + 1.0k, and 5.0 s later it is r with arrow = 7.0i hat + 7.0
harkovskaia [24]
<h2>Answer:</h2>

Shown in the explanation

<h2>Explanation:</h2>

Position vector of a  particle at a given instant is given by:

\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}

On the other hand, the average velocity is the change in the particle’s position vector divided by time interval:

\vec{v}=\frac{\Delta \vec{r}}{\Delta t}=\frac{\vec{r_{2}}-\vec{r_{1}} }{t_{2}-t_{1}} \\ \\ \\ Where: \\ \\ \\ \vec{r_{1}}: Initial \ position \\ \\ \vec{r_{2}}: Final \ position \\ \\ t_{1}:Initial \ time \\ \\ t_{2}:Final \ time

So we have:

\vec{r_{1}}=7\hat{i}+7\hat{j}+1\hat{k} \\ \\ \vec{r_{2}}=7\hat{i}+7\hat{j}+8\hat{k} \\ \\ \\ Then: \\ \\ \Delta \vec{r} = \vec{r_{2}}-\vec{r_{1}}=7\hat{i}+7\hat{j}+8\hat{k}-(7\hat{i}+7\hat{j}+1\hat{k}) \\ \\ \Delta \vec{r}=7\hat{k} \\ \\ \\ We \ also \ know: \\ \\ \Delta t=5s

Finally, the average velocity is:

\vec{v}=\frac{\Delta \vec{r}}{\Delta t} \\ \\ \\ \vec{v}=\frac{7\hat{k}}{5} \\ \\ \boxed{\vec{v}=\frac{7}{5}\hat{k} \ units/s}

3 0
4 years ago
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