As the figure shows, a 4.9 kg block is accelerated by a compressed spring whose

Question

As the figure shows, a 4.9 kg block is accelerated by a compressed spring whose spring constant is 620 N/m. After leaving the spring at the spring's relaxed length, the block travels over a horizontal surface, with a coefficient of kinetic friction 0.25, for a distance L = 6.9 m before stopping.

A) What is the increase in the thermal energy of the block-floor system?

B) What is the maximum kinetic energy of the block?

C) Through what distance is the spring compressed before the block begins to move?

Explanation / Answer

a)

the increase in the thermal energy of the block-floor system is

dE=ukmgL =0.25*4.9*9.81*6.9 =82.92 J

b)

the maximum kinetic energy of the block

Kmax=82.92 J

c)

SInce

(1/2)KX2=82.92

(1/2)*620*X2=82.92

X=0.517 m

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