What is the force required to break a wire having length 10m, area of cross sections 10mm^2 and breaking stress of 10^6 Nm^-2.
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Breaking stress is the maximum force that can be applied on a cross sectional area of a material in such a way that the material just breaks, if any additional force is added.
Force to break a wire does not depend on the length of the wire. It solely depend on cross section area and breaking stress.
Force required to break a wire is calculated as
Force = Breaking stress of the material * cross section area.
It is given from the problem that,
breaking stress = 10^6 N/m²
Cross section area = 10 mm² = 10^-3 m²
Force = 10^6 * 10-^-3 = 10³ = 1000 N
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