A small mass is released on a trail with no initial velocity at x=1 m. The...

 

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A small mass is released on a trail with no initial velocity at x=1 m. The trail is shaped such that h=1/x for all points where x>0. It is connected to a spring that applies no force at x=0. The spring is free to move at the vertical direction and only applies force in the horizontal direction. When the mass reaches its maximum speed after being released, what is its horizontal coordinate? (Assume that the mass is small enough that the energy related to its angular velocity is negligible.) Hint: You can express the velocity as a function of x and solve the derivative of the expression for x in order to find the horizontal coordinate that maximizes the velocity. ww k-IN/m h m = 1kg Fig. 1 99.81m/² A small mass is released on a trail with no initial velocity at x=1 m. The trail is shaped such that h=1/x for all points where x>0. It is connected to a spring that applies no force at x=0. The spring is free to move at the vertical direction and only applies force in the horizontal direction. When the mass reaches its maximum speed after being released, what is its horizontal coordinate? (Assume that the mass is small enough that the energy related to its angular velocity is negligible.) Hint: You can express the velocity as a function of x and solve the derivative of the expression for x in order to find the horizontal coordinate that maximizes the velocity. ww k-IN/m h m = 1kg Fig. 1 99.81m/²