Final answer:
Work and energy are the pair of quantities expressed in the same units of measure - joules. Friction is a type of force and is also measured in newtons, just like weight.
Step-by-step explanation:
The question at hand is concerned with the comparison of different physical quantities and their units of measure. Among the options provided, the pair that is expressed in the same units of measure is work and energy (option B).
This is because both physical quantities are measured in joules. Friction and weight, on the other hand, are not expressed in the same units because friction is a force (measured in newtons) while weight is also a force and thus measured in the same units, contradicting the original statement. It's important to note that scalar and vector quantities, such as force, which is a vector quantity, can have the same units even if they have different properties.