I don't know about the broom, I haven't used it... in the end, I had to use a certain device from a certain event in order to exert a pull on the fridge strong enough to get the physics to dislodge it from the shelf it had gotten embedded in. (This also required me to move a lot of the stuff out of the room because a fridge suddenly slamming into the opposite wall at oh-good-lord speeds tends to knock things around.)
Viewing post in Voices of the Void 0.7 (Latest Release Build "0011") Bug Reports
SPOILER ALERT
The gravity gun, which you get from a POI that appears after you get a certain signal. I cleaned my room of the smaller items in it (my plushie collection, my microwave, my coffee machine, etc.), then grabbed the fridge with the gravity gun and walked all the way out onto the porch in order to get a strong enough pull.