At a site where the Earth's magnetic field has a magnitude of 0.45 gauss (where 1 gauss = 1.00 Image for At a site where the Earth's magnetic field has a magnitude of 0.45 gauss (where 1 gauss = 1.00 multiply.gif 10 10-4 T) and points to the north, 68? below the horizontal, a high-voltage power line 167 m in length carries a current of 120 A. Determine the magnitude and direction of the magnetic force exerted on this wire, if the orientation of the wire and hence the current is as follows.

(a) horizontally toward the south

magnitude in N
direction 2---Select---northsoutheastwest at in ? measured below the horizontal

(b) horizontally toward the west

magnitude in N
direction ---Select---northsoutheastwest at in ? measured below the horizontal

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Ответ:

jentho2012

04.10.2021

Physics

Option B is the correct answer.

Explanation:

In circular motion we have

$\texttt{Centripetal acceleration = }\frac{v^2}{r}$

An object traveling a circular path of radius 5 m at constant speed experiences an acceleration of 3 m/s². We need to find acceleration when radius is 10 m with same speed.

That is here the radius is doubled, we need to find what will happen to acceleration.

$\texttt{Centripetal acceleration = }\frac{v^2}{r}\\\\\texttt{Centripetal acceleration1 = }\frac{v^2}{5}=3\\\\\texttt{Centripetal acceleration2 = }\frac{v^2}{10}=a$

Dividing both equations,

$\frac{\frac{v^2}{5}}{\frac{v^2}{10}}=\frac{3}{a}\\\\a=1.5m/s^2$

Option B is the correct answer.

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