Final answer:
The correct formula to find the length of an object after a compressive force is applied is 'x - Fx / AE', which takes into account the original length, force applied, cross-sectional area, and Young's modulus of the material.
Step-by-step explanation:
The question pertains to the effect of a compressive force on the length of an object made of a material with a given Young's modulus, an original length, and a cross-sectional area. According to the relationship between stress, strain, and Young's modulus, the change in length (ΔL) caused by the compressive force (F) can be calculated using the equation:
ΔL = −(F × L0) / (A × Y)
where:
Since the force is compressive, the length decreases and thus the change in length is negative. To find the new length after the force is applied (L), we add the original length (L0) to the change in length (ΔL):
L = L0 + ΔL = L0 − (F × L0) / (A × Y)
Therefore, the correct expression for the length of the object after the force is applied is d. x - Fx / AE, where x is replaced by L0 to match the standard notation.