An 8.00 kg block is placed on a rough horizontal surface and connected to a spring of spring constant 100 N/m. The spring is then stretched by some distance A and released. The block will begin to oscillate back and forth across the surface. As the block passes through the equilibrium position, it is measured to have a velocity of 5 m/s. The coefficient of kinetic friction between the block and the surface is measured to be 0.250 and the coefficient of static friction between the block and the surface is measured to be 0.300.
a) What was the initial displacement of the mass (A)?
b) What is the new displacement of the mass when the spring is fully compressed for the first time?
c) What will be the velocity of the mass as it passes through the origin for the 2nd time?
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