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AP Physics C: Mechanics
2.8 Spring Forces
2.7 Kinetic and Static Friction
2.5 Newton’s Second Law
AdvancedMCQMathematical16.3k
A block attached to a spring on a surface with position-dependent friction.
A block attached to a spring on a surface with position-dependent friction.
A block of mass \(m\) on a horizontal surface is attached to an ideal spring with spring constant \(k\), where \(x = 0\) represents the spring's unstretched equilibrium position. The coefficient of kinetic friction between the block and the surface increases with position according to \(\mu_k(x) = bx\), where \(b\) is a positive constant and \(x > 0\). The block is pulled to position \(x = x_0\) and released from rest. Which of the following expressions represents the speed of the block as it first passes through the equilibrium position \(x = 0\)?

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