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A 250 g cart is on a frictionless horizontal track. The cart is attached to a...

A 250 g cart is on a frictionless horizontal track. The cart is attached to a spring of spring constant 125 N/m whose free end is fastened to the end of the track. A 100 g soft iron mass is sitting on and moving with the cart so that the total mass is 350 g. The cart and mass are given a 5.00 cm displacement from their equilibrium position and released. Determine the

(A)

(i) equation of motion for the system

(ii) time it takes for the displacement of the oscillator to go from 5.00 cm to 2.50 cm

(iii) speed of the masses at the 2.50 cm point.

(B) For the original configuration in question (A) above, the soft iron mass is removed with a magnet when the cart is at the 2.50 cm. Find the new value of the amplitude of the cart-spring oscillator.

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