= 2/36 The cart impacts the safety barrier with speed 3.25 m/s and is brought to a stop by the nest of nonlinear springs which provide a deceleration a = -k₁x-k2x³, where x is the amount of spring deflec- tion from the undeformed position and k₁ and k₂ are positive constants. If the maximum spring deflec- tion is 475 mm and the velocity at half-maximum deflection is 2.85 m/s, determine the values and cor- responding units for the constants k₁ and k₂.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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2/36 The cart impacts the safety barrier with speed
vo = 3.25 m/s and is brought to a stop by the nest of
nonlinear springs which provide a deceleration a =
-k₁x-k2x³, where x is the amount of spring deflec-
tion from the undeformed position and k₁ and k₂ are
positive constants. If the maximum spring deflec-
tion is 475 mm and the velocity at half-maximum
deflection is 2.85 m/s, determine the values and cor-
responding units for the constants k₁ and k₂.
1
Transcribed Image Text:2/36 The cart impacts the safety barrier with speed vo = 3.25 m/s and is brought to a stop by the nest of nonlinear springs which provide a deceleration a = -k₁x-k2x³, where x is the amount of spring deflec- tion from the undeformed position and k₁ and k₂ are positive constants. If the maximum spring deflec- tion is 475 mm and the velocity at half-maximum deflection is 2.85 m/s, determine the values and cor- responding units for the constants k₁ and k₂. 1
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