A block-spring system oscillates with an amplitude of 3.55 cm. The spring consta

Question

A block-spring system oscillates with an amplitude of 3.55 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg.

(a) Determine the mechanical energy of the system.
1
Your response is off by a multiple of ten. J

(b) Determine the maximum speed of the block.
2
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s

(c) Determine the maximum acceleration.
3
Your response is off by a multiple of ten. m/s2

Explanation / Answer

A = 3.55 cm, k =250 N/m ,m =0.5 kg

(a) E = (1/2)kA^2 = 0.5*250*3.55*3.55*10^-4

E =0.1575 J

(b) From conservation of energy

E =(1/2)mv^2

0.1575 = 0.5*0.5*v^2

vmax = 0.794 m/s

(c) vmax = Aw

0.794 = 0.0355*w

w =22.37 rad/s

maximum acceleration amax = Aw^2

amax = (0.035)(22.37*22.37)

amax= 17.5 m/s^2

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