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a 2 kg object is moving 6m/s. it compresses a spring 1 meter that has a spring constant of 8N/m. Calculate efficiency?

Respuesta :

Answer:

The efficiency is [tex]11.\overline{1}\%[/tex]

Explanation:

Define efficiency as (energy stored in the spring) / (kinetic energy of the object before compression)*100%.

The moving object had a kinetic energy

[tex]E_k = \frac{1}{2}mv^2=\frac{1}{2}2kg\cdot 36 \frac{m^2}{s^2}=36J[/tex]

The compressed spring stores a so-called elastic energy, which is given by

[tex]E_e=\frac{1}{2}kd^2=\frac{1}{2}8\frac{N}{m}\cdot 1^2m^2=4J[/tex]

So the efficiency is:

[tex]\epsilon = \frac{E_e}{E_k}\cdot100\%=\frac{4J}{36J}\cdot 100\%=11.\overline{1}\%[/tex]

Answer:


The efficiency is 11.1%


Explanation:


Define efficiency as (energy stored in the spring) / (kinetic energy of the object before compression)*100%.


The moving object had a kinetic energy



The compressed spring stores a so-called elastic energy, which is given by




So the efficiency is: 11.1




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