An air-conditioning unit is fastened to a roof that slopes at an angle of 35 above the horizontal - Physics - Sources of Energy

Question

An air-conditioning unit is fastened to a roof that slopes at an
angle of
35? above the horizontal 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)? As we described
in
Section 1 10, the work done by a force on an object that
undergoes
a displacement s is W=F s

Vipra Mishra · Accepted Answer

Dear Student
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5f3fbbbb42ef5%20jpg"
style="width: 500px; height: 314px;">
From the figure, the magnitude of the weight of the unit acting in the y-direction, wy is equal to the normal force
    That is, N = w cosθ  Therefore, w = N/cosθw =425cos 35 =4250
82 = 518
3 Nb)Fx = F sin θ = 518
3  sin 35 = 518 3 ×0
574 = 297 5NW = Fxs = 297
5 N×1 50m  =446 25 Nm

Regards