1. A block of mass m=15.6 kg is to be pushed with a force a distance d+5.65 m al
ID: 1398327 • Letter: 1
Question
1. A block of mass m=15.6 kg is to be pushed with a force a distance d+5.65 m along an incline so that it is raised a distance h= 3.86 m in the process. Assuming frictionless surfaces. Determine:
a) The magnitude of the force F exerted on the block to kept it from accelerating.
b) The work done by the force F parallel to the incline to push the block up at constant speed.
c) The power delivered by the force F after 8 seconds.
If you could please show the steps to get to the solutions instead of just the answer. Handwritten is preferred, it helps me visualize instead of just staring at the screen. Thank you in advanced
Explanation / Answer
1)
the angle of incline , alpha = arcsin(3.86/5.65)
alpha = 43.1 degree
as the surface is friction less ,
for the block to have zero acceleration ,
F - mg * sin(alpha) = 0
F = 15.6 * 9.8 * sin(43.1)
F = 104.4 N
the magnitude of force F needed is 104.4 N
b)
Now, work done by force F = F * distance ,
work done by force F = 104.4 * 5.65
work done by force F = 590.12 J
the work done by force F is 590.12 J
c)
Power delivered by F = work done /time
Power delivered by F = 590.12/8
Power delivered by F = 73.8 W
the Power delivered by F is 73.8 W
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