Two blocks of masses \( m_{1} \) and \( m_{2} \) are connected by a spring of stiffness \( k=200...

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Two blocks of masses \( m_{1} \) and \( m_{2} \) are connected by a spring of stiffness \( k=200 \mathrm{Nm}^{-1} \). The coefficient of friction between the blocks and the surface is \( \mu \). Find the minimum constant horizontal force \( F \) (in Newton) to be applied to \( m_{1} \) in order to slide the mass \( m_{2} \). (Initally spring is in its natural length). (Take \( m_{1}=3 \mathrm{~kg}, m_{2}=5 \mathrm{~kg}, g=10 \mathrm{~m} / \mathrm{s}^{2}, \mu=0.2 \) )
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