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A spring-mass system is composed of a mass m = 200 g and a massless spring...

A spring-mass system is composed of a mass m = 200 g and a massless spring of force constant k obeying Hooke’s Law, and the whole system is located on a horizontal frictionless table. The mass m makes oscillations about the equilibrium position x = 0 according to the relation x(t) = (15 cm) sin 2πt. (You can take π = 3.)

What is the force constant k of the spring?

(a) 36/5 N/m   (b) 36 N/m   (c) 54 N/m   (d) 72/5 N/m   (e) 54/4 N/m

What is the total mechanical energy of the system?

(a) 9/50 J   (b) 81/1000 J   (c) 8/25 J   (d) 81/130 J   (e) 2/25 J

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