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# What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.

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## Answer to a math question What is the coefficient of elasticity of the material that must be placed on the heel of the 10 cm high clog, with a base area of 2 cm² so that it deforms only 2 cm when the force on it will be a maximum of 600 N.

Miles
4.9
To calculate the coefficient of elasticity $also known as Young's modulus$, you can use the formula: Young's Modulus $Y$ = $Stress$ / $Strain$ Where: - Stress is the force applied $in newtons, N$. - Strain is the deformation or change in length $in meters, m$. - The coefficient of elasticity $Young's Modulus$ has units of pascals $Pa$. In your case, you want to find the coefficient of elasticity $Y$ for the material that must be placed on the heel of the clog. The height of the clog is 10 cm, and it deforms only 2 cm when a maximum force of 600 N is applied. First, let's convert the measurements to meters: Height $h$ = 10 cm = 0.1 m Deformation $Δh$ = 2 cm = 0.02 m Force $F$ = 600 N Base area $A$ = 2 cm² = 0.0002 m² Now, calculate the stress $σ$ and strain $ε$: Stress $σ$ = Force $F$ / Area $A$ σ = 600 N / 0.0002 m² σ = 3,000,000 N/m² $or 3,000,000 Pa$ Strain $ε$ = Deformation $Δh$ / Original Length $h$ ε = 0.02 m / 0.1 m ε = 0.2 Now, you can use Young's Modulus formula to find Y: Young's Modulus $Y$ = Stress $σ$ / Strain $ε$ Y = 3,000,000 Pa / 0.2 Y = 15,000,000 Pa So, the coefficient of elasticity $Young's Modulus$ for the material that must be placed on the heel of the clog is 15,000,000 pascals $Pa$.

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