All of these worries and stressors can , or vice-versa — having a lot of stress and worry on your mind can lead to your body undergoing a psychosomatic response a physical response caused by a mental process which could cause your muscles to tense up.
It depends what you plan on putting over top of what was under the carpet.
So, if you are doing a plank with correct form, you will pretty much be working your entire body in an isometric fashion, which is great for strength.