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

cell differentiation  is how generic embryonic  cells  become specialized  cells. this occurs  through a process called gene expression. gene expression is the specific combination of genes that are turned on or off (expressed or repressed), and this is what dictates how a  cell  functions.

explanation:

not moving. pos accel,