Note that this question is asking for the length the block travels relative to t

Question

Note that this question is asking for the length
the block travels relative to the equilibrium
position of the spring (not from the com-
pressed position).
A(n) 6 kg block is pushed by an external
force against a spring with spring constant
176 N/m until the spring is compressed by
2.1 m from its uncompressed length (x = 0).
The block rests on a horizontal plane that has
a coefficient of kinetic friction of 0.66.
The acceleration of gravity is 9.8 m/s2 .
Remember: The block is not attached to
the spring.

Explanation / Answer

the initial potential energy of the block is0.5*176*2.1*2.1=388.08J

this energy is expended by the negative work done by thefriction and then converted in to heat

so the distance the block has to move is 0.66*9.8*6*dJ

hence d is given by 10m

this is the distance traveled from the compression of 2.1m

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