An air-conditioning unit is fastened to a roof that slopes at an angle of 35 above the horizontal . Its weight is a force F S on the air conditioner that is directed vertically downward. In order that the unit not crush the roof tiles, the component of the unit’s weight perpendicular to the roof cannot exceed 425 N. (One newton, or 1 N, is the SI unit of force. It is equal to 0.2248 lb.) (a) What is the maximum allowed weight of the unit? (b) If the fasteners fail, the unit slides 1.50 m along the roof before it comes to a halt against a ledge. How much work does the weight force do on the unit during its slide if the unit has the weight calculated in part (a)? The work done by a force F S on an object that undergoes a displacement sS is W = F S . sS.
An air-conditioning unit is fastened to a roof that slopes at an angle of
35 above the horizontal . Its weight is a force F S on the air
conditioner that is directed vertically downward. In order that the unit
not crush the roof tiles, the component of the unit’s weight perpendicular
to the roof cannot exceed 425 N. (One newton, or 1 N, is the SI unit
of force. It is equal to 0.2248 lb.) (a) What is the maximum allowed
weight of the unit? (b) If the fasteners fail, the unit slides 1.50 m along
the roof before it comes to a halt against a ledge. How much work does
the weight force do on the unit during its slide if the unit has the weight
calculated in part (a)? The work done by a force F S on an object that undergoes
a displacement sS is W = F S . sS.
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