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A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached...

A horizontal mass-spring system consists of a 2 kg mass moving on a frictionless surface attached to a spring. The other end of the spring is attached to a wall. The mass is pulled and released. The resultant simple harmonic motion has a period of 5 s and it is observed that the maximum velocity of the mass is 0.3 m/s.

a) Calculate the spring constant of the spring.

(b) Calculate the amplitude of the motion.

Sometime later, when the mass is at its furthest position, another identical mass is vertically dropped (and sticks) onto the first mass.

(c) Calculate the amplitude of the resulting simple harmonic motion.

(d) Calculate the maximum velocity of the new simple harmonic oscillator.

(e) Find the shortest time for the mass to travel from ½ its amplitude to its equilibrium position.

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