You and your friends push a 75-kg greased pig up an aluminum slideat the county
ID: 1752716 • Letter: Y
Question
You and your friends push a 75-kg greased pig up an aluminum slideat the county fair, starting from the low end of the slide. Thecoefficient of kinetic friction between the pig and the slide is0.070. (a) All of you pushing together (parallel tothe incline) manage to accelerate the pig from rest at the constantrate of 4.3 m/s2 over adistance of 1.5 m, at which point yourelease the pig. The pig continues up the slide, reaching a maximumvertical height above its release point of 60 cm. What is the angle of inclination of theslide?°
(b) At the maximum height the pig turns around and begins to slipdown the slide, how fast is it moving when it arrives at the lowend of the slide?
m/s (a) All of you pushing together (parallel tothe incline) manage to accelerate the pig from rest at the constantrate of 4.3 m/s2 over adistance of 1.5 m, at which point yourelease the pig. The pig continues up the slide, reaching a maximumvertical height above its release point of 60 cm. What is the angle of inclination of theslide?
°
(b) At the maximum height the pig turns around and begins to slipdown the slide, how fast is it moving when it arrives at the lowend of the slide?
m/s
Explanation / Answer
a) given sliding distance = S and verticle height reached above the ground = h now tan = h / S = tan-1(h/S) b) if S be the distance slided by the pig on thefrictional incline and h be the height reached bythe pig W =m * acos * S =mg cos *S . work done in moving a height h W ' = F * S = m *a sin * h = mgh. by the time the pig reach the ground by sliding downback the kientic energy left with thepig mgh - mgcos = mv2 / 2 fromthe values given , using above relations we can solve for finalvelocity vRelated Questions
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