The spring is now compressed so that the unconstrained end moves from x=0 to x=L. Using the work integral W=∫xfxiF⃗ (x⃗ )⋅dx⃗ , find the work done by the spring as it is compressed. Express the work done by the spring in terms of k and L?

solution:

the spring force exerted by spring with spring constant k is given by

where k is spring constant

and x is deformation of spring

in order to calculate word done by the spring

the work done by the spring as it is compressed from x=0 to x=L

inserting the limits x=0 and x=L

we get work done in terms of k and L

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.

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