When the spring stretches to the equilibrium position, where there's no net force, you have just proven that half of the initial gravitational potential energy was converted to elastic potential energy, and the other half was converted to kinetic energy.
22.
This work is stored in the bow as elastic potential energy, and when the bowstring is released, this stored energy is imparted to the arrow much more quickly than can be delivered by the muscles, resulting in much higher velocity and, hence, greater distance.
23.
Therefore, Cauchy elasticity includes non-conservative " non-hyperelastic " models ( in which work of deformation is path dependent ) as well as conservative " hyperelastic material " models ( for which stress can be derived from a scalar " elastic potential " function ).
24.
Active chassis, more commonly termed " flexi-fronts ", are non-rigid constructions designed to arch up on contact with an opposing pushing force, creating elastic potential energy, and channelling the resulting pressure into the K * bot s rear wheels.
25.
I applied the Law of Conservation of Energy to find the spring constant . ( I didn't apply Newton's second law since the mass can accelerate up and continue dropping . ) Since gravitational potential turns into elastic potential, mgh = \ frac { 1 } { 2 } kh ^ 2.
26.
In order for this equation to yield a solution with the correct symmetry, it is suggested to apply a perturbation approach based on an elastic potential, { u } _ { 0 } ( \ mathbf { q } ), which coincides with { u } _ { 1 } ( \ mathbf { q } ) at the asymptotic region.
27.
This functional " E " will be defined precisely below & mdash; one way of understanding it is to imagine that " M " is made of rubber and " N " made of marble ( their shapes given by their respective metrics ), and that the map \ phi : " M " ?! " N " prescribes how one " applies " the rubber onto the marble : " E " ( \ phi ) then represents the total amount of elastic potential energy resulting from tension in the rubber.
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