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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:
2.91e02 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.
Answer:
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 Spring '08
 N. MCKAY
 mechanics, Force, Work

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