A custom-designed spring has a restoring force F(x) = − (ax + Bx²) where x is the stretch from its equilibrium length, a = 3.4 N/m, and 3 = 4 N/m². A 4-kg gizmo is attached to this spring and stretched 1.7 m over a frictionless, horizontal surface. If the gizmo is released from rest, how fast will it be moving when it passes as its equilibrium position? V= __________ m/s

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 15P: A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure...
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Computation.
A custom-designed spring has a restoring force
F(x) = − (ax + Bx²) where x is the stretch from its equilibrium
length, a = 3.4 N/m, and 6 = 4 N/m². A 4-kg gizmo is attached to
this spring and stretched 1.7 m over a frictionless, horizontal surface.
If the gizmo is released from rest, how fast will it be moving when it
passes as its equilibrium position?
V=
Record your numerical answer below, assuming three significant figures.
Remember to include a "-" if necessary.
OL
m/s
C
10:25 PM
10/23/2022
2
Transcribed Image Text:Computation. A custom-designed spring has a restoring force F(x) = − (ax + Bx²) where x is the stretch from its equilibrium length, a = 3.4 N/m, and 6 = 4 N/m². A 4-kg gizmo is attached to this spring and stretched 1.7 m over a frictionless, horizontal surface. If the gizmo is released from rest, how fast will it be moving when it passes as its equilibrium position? V= Record your numerical answer below, assuming three significant figures. Remember to include a "-" if necessary. OL m/s C 10:25 PM 10/23/2022 2
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