c.) Using the work approach only, could you find the time it takes to slide this
ID: 1283467 • Letter: C
Question
c.) Using the work approach only, could you find the time it takes to slide this distance? Discuss the limitations of using the work/energy method vs. using the forces method to solve problems.
A 6 kg crate is placed at rest on an incline plane (Mus=0.7,Muk=0.5), whose angle is 60degree. It then slides 5 m down the incline. a.) Find the work done by each force on the crate after sliding this distance: work done by normal force: ___ J work done by gravity: ___ J work done by friction force: ____ J b.) Using your results from part a, find the speed of the crate after sliding this distance. __ m/s c.) Using the work approach only, could you find the time it takes to slide this distance? Discuss the limitations of using the work/energy method vs. using the forces method to solve problems.Explanation / Answer
a)
work done by normal force = 0J - force and movement are perpendiclar
work done by gravity = 9.8*5*sin(60) = 42.4J
work done by friction = -6*9.8*cos(60)*0.5*5 = -73.5J
b)
acceraleration = 36.22/6 = 6.037
v^2 = 2*6.037*5
v = 7.76
c)
7.76 = 6.037*t
t = 1.285s
IN work/energy method there is energy loss due to friction, so in this case force s method is simple.
if there is no friction case, then the work/energy can be used
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