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Physics / Physics with MasteringPhysics 4 / Chapter 22 / Problem 112IP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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· · IP Referring to Example 22–3 Suppose we change the

Chapter 22, Problem 112IP

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QUESTION:

Problem 112IP

· · IP Referring to Example 22–3 Suppose we change the initial speed of 238 U, leaving everything else the same. (a) If we want the separation distance to be zero, should the initial speed of U be increased or decreased? Explain. (b) Find the required A initial speed.

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QUESTION:

Problem 112IP

· · IP Referring to Example 22–3 Suppose we change the initial speed of 238 U, leaving everything else the same. (a) If we want the separation distance to be zero, should the initial speed of U be increased or decreased? Explain. (b) Find the required A initial speed.

ANSWER:

Step 1 of 2:-

a)

Here, we have to find whether the initial speed should increase or decrease, if we want the separation distance to be zero.

Given that,

${m}_{1}=3.9\times{}1{0}^{-25}\ kg$ .

${m}_{2}=3.95\times{}1{0}^{-25}\ kg$ .

${v}_{1}=1.05\times{}1{0}^{5}\ m/s$ .

${v}_{2}=\ ?$

$B=0.750\ T$ .

By equating the magnetic force and the centripetal force,

$qvB=\frac{m{v}^{2}}{r}$

$\Rightarrow{}qB=\frac{mv}{r}$

$\Rightarrow{}r=\frac{mv}{qB}$

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