In Figure 8-34, a 1.2 kg block is held at rest against a spring with a force con

Question

In Figure 8-34, a 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the spring is compressed a distance d. When the block is released, it slides across a surface that is frictionless, except for a rough patch of width 5.0 cm that has a coefficient of kinetic friction

In Figure 8-34, a 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the spring is compressed a distance d. When the block is released, it slides across a surface that is frictionless, except for a rough patch of width 5.0 cm that has a coefficient of kinetic friction µk = 0.44. Find d such that the block's speed after crossing the rough patch is 1.7 m/s.

Explanation / Answer

Work Done by friction = energy lost

u*mg * 0.05 = 0.5*k*d^2 - 0.5*m*v^2

0.44*1.2*9.8*0.05 = 0.5*750*d^2 - 0.5*1.2*1.7^2

d = 0.0729 m = 7.29 cm

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