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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