13. An air-conditioning unit is fastened to a roof that slopes at an angle of 35° above the horizontal, as show in Figure 5. Its weight is a force 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)? Recall: The work done by a force F on an object that undergoes a displacement d is W = = F. d. 1.50 m 35⁰ Figure 5 F
13. An air-conditioning unit is fastened to a roof that slopes at an angle of 35° above the horizontal, as show in Figure 5. Its weight is a force 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)? Recall: The work done by a force F on an object that undergoes a displacement d is W = = F. d. 1.50 m 35⁰ Figure 5 F
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Assessment 13.
Topic: Work and Energy Conservation
Show your complete solutions. Include necessary diagrams.
Transcribed Image Text:13. An air-conditioning unit is fastened to a roof that slopes at an angle of 35° above the
horizontal, as show in Figure 5. Its weight is a force 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)? Recall: The work done by a force F on an object
that undergoes a displacement d is W = F. d.
1.50 m
35°
Figure 5
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