Asteel wire has a cross sectional area of 1.5 x 10^-4 cm^2 and a length of 10.0 m. by how much will it stretch if a 25 kg weight is hung from it? answer in millimeters.

The steel wire will stretch up to 1837.5 mm

Explanation:

We are given:

Mass = 25 kg

Length of wire = 10 m

Area of cross-section of wire =    (Conversion factor:   )

To calculate the change in stretching, we use the equation:

where,

E = young modulus of steel =

F = force exerted by the weight = m g =

l = length of wire = 10 m

A = area of cross section =

= change in length = ?

Putting values in above equation, we get:

Converting above value in mili meters, we use the conversion factor:

1 m = 1000 mm

So, 1.8375 m = 1837.5 mm

Hence, the steel wire will stretch up to 1837.5 mm

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