the total potential energy of a system of multiple springs is defined to be the sum of the potential energies stored in each of the springs. The blacks all have the same mass nctonles the instant shown, each block is ele leoxk on a horizontal, rhecks n dea th spring constant k. At Case A the four block- m, and all of the released from rest a a ro the right of its equilibrium position nt indicated by the dashed line). me that each spring is at its equilibrium Case B a case B, assume length when the block is at its equilibrium tank the cases according to magnitude of the net Ran or on the block at the instant shown, from largest to smallest. (Hint: In case C, how far was the point was displaced a distance A?) Explain Case C Case D b Use your answers above to rank the cases according to the time it takes the block n reaun its equilibriam position

Respuesta :

Sort the scenarios based on how long it takes the block n to reach equilibrium T[tex]_{c}[/tex]>T[tex]_{A}[/tex]>T[tex]_{B}[/tex]=T[tex]_{D}[/tex].

F[tex]_{net}[/tex]=kx₁=kx₂

x₁+x₂=A

[tex]\frac{F}{k}[/tex]+[tex]\frac{F}{k}[/tex]=A

A=[tex]\frac{2F}{k}[/tex]

F[tex]_{net}[/tex]=[tex]\frac{kA}{2}[/tex]

point of connecting spring displaced by A/2

Ranking ⇒[(case-B)=(case-D)>(case-A)>(case-C)]

Part-(b)

Now, time period T=2π[tex]\sqrt{\frac{m}{k_{eq} } }[/tex]

case-A [tex]k_{q}[/tex]=k,

case-B [tex]k_{eq}[/tex]=2k

case-C [tex]k_{eq}[/tex]=k/2

case-D [tex]k_{eq}[/tex]=2k

so,T[tex]_{c}[/tex]>T[tex]_{A}[/tex]>T[tex]_{B}[/tex]=T[tex]_{D}[/tex]

A process is in equilibrium when the observable properties, such as color, temperature, pressure, concentration, etc., do not change.

Equilibrium, which literally means "balance," denotes that the reactants and products involved in a chemical process are in balance with one another. The equilibrium condition can also be seen in some physical processes, such as the melting point of ice at 0 degrees Celsius, when both ice and water are present.

The equilibrium is known as a physical equilibrium in the case of physical processes like the melting of solids, the dissolution of salt in water, etc., whereas the equilibrium connected to chemical reactions is known as a chemical equilibrium.

Learn more about equilibrium here:

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