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# ass9 - Practice Problems 9 1 When a certain spring is...

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Practice Problems 9 1 . When a certain spring is stretched beyond its proportional limit, the restoring force satisfies the equation F=-kx+βx 3 . If k=8.6 N/m and β=103 N/m 3 , calculate the work done by this force when the spring is stretched 0.084 m. Answer: -2.91e-02 J 2 . A 173 g block is pressed against a spring of force constant 1.25 kN/m until the block compresses the spring 12.1 cm. The spring rests at the bottom of a ramp inclined at 60.1° to the horizontal. Using energy considerations, determine how far up the incline the block moves before it stops if there is no friction between the block and the ramp. Answer: 6.22E+00 m 3 . How far up the incline does the block move before it stops if the coefficient of kinetic friction is 0.445. Answer: 4.95E+00 m 4 . A 0.422 kg particle slides around a horizontal track. The track has a smooth, vertical outer wall forming a circle with a radius of 1.74 m. The particle is given an initial speed of 7.99 m/s. After one revolution, its speed has dropped to 5.76 m/s because of friction with the rough floor of the track. Calculate the energy loss due to friction in one revolution. Answer: -6.47E+00 J 5 . Calculate the coefficient of kinetic friction.

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