Question

the workdone by pseudoforce is​

Answer 1

for observer moving in one direction ,force will be conservative and if you include its potential in mechanical energy then yes, mechanical energy will be conserved. The pseudo force will do work.

Answer 2

Displacement and Force come together and dot product of both is taken it gives us work done. ... When as a reference a “non-inertial frame” is considered the work done on some mass is called as pseudo force the work done by a 'pseudo force' is apparently zero and since this force is fictitious