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Two packages at UPS start sliding down the 20 ? ramp shown in the figure. Packag

ID: 2279189 • Letter: T

Question

Two packages at UPS start sliding down the 20? ramp shown in the figure. Package A has a mass of 3.50kg and a coefficient of kinetic friction of 0.220. Package B has a mass of 12.0kg and a coefficient of kinetic friction of 0.170.


How long does it take package A to reach the bottom?

Two packages at UPS start sliding down the 20? ramp shown in the figure. Package A has a mass of 3.50kg and a coefficient of kinetic friction of 0.220. Package B has a mass of 12.0kg and a coefficient of kinetic friction of 0.170. How long does it take package A to reach the bottom?

Explanation / Answer

F= 15.5*9.8*sin(20 deg)- (3.5*0.22+12*0.17)*9.8*cos(20 deg) = 15.5a

a = 1.73 m/s^2

s=0.5*a*t^2

t = sqrt(2*2/1.73)

= 1.52 sec

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