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In a shipping warehouse, packages are moved between levels by sliding them down

ID: 2179029 • Letter: I

Question

In a shipping warehouse, packages are moved between levels by sliding them down a ramp as shown in the sketch. The coefficient of friction between the package and ramp is k = 0.25, the corner at the bottom of the ramp is abrupt but smooth and = 30?. If a 20 pound package starts from rest at l = 10 ft, determine:

a. The speed of the package when it reaches the bottom of the ramp,

b. The distance d the package will slide along the horizontal surface before coming to rest.


Please show all work/steps/equations used to generate solution

thanks!

Explanation / Answer

a)

mglsin30=1/2mv^2
98.1*3.28=10v^2

29.9=v

v=5.46 ans

multiplying with 3.28 is foot to meter conversion

b)mgh = mgd0.75

Where h is the total distance the box falls!

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