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podryga [215]
2 years ago
11

Consider the mass and velocity values of Objects A and B below.

Physics
1 answer:
777dan777 [17]2 years ago
8 0

Answer:

the same

Explanation:

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now suppose that we have attached not just two springs in series, but N springs. Write an equation that expresses the effective
sammy [17]

Answer:

 k_{eq} = \frac{k}{N}

Explanation:

For this exercise let's use hooke's law

         F = - k x

where x is the displacement from the equilibrium position.

        x = - \frac{F}{k}

if we have several springs in series, the total displacement is the sum of the displacement for each spring, F the external force applied to the springs

       x_ {total} = ∑ x_i

we substitute

       x_ {total} =  ∑ -F / ki

       F / k_ {eq} =  -F  \sum \frac{1}{k_i}

      \frac{1}{k_{eq}} = \frac{1}{k_i} 1 / k_ {eq} =  ∑ 1 / k_i

if all the springs are the same

     k_i = k

     \frac{1}{k_{eq}} = \frac{1}{k} \sum 1 \\

     \frac{1}{k_{eq} } =  \frac{N}{k}

     k_{eq} = \frac{k}{N}

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Read 2 more answers
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