Two concentric spherical shells have masses \( m_{1}, m_{2} \) and radii \( R_{1}, R_{2}\left(R_...

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Two concentric spherical shells have masses \( m_{1}, m_{2} \) and radii \( R_{1}, R_{2}\left(R_{1}R_{2}\right) \). Calculate the force exerted by this system on a particle of mass \( m \), if it is placed at a distance \( \frac{\left(R_{1}+R_{2}\right)}{2} \) from the centre.
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