In the figure, a horizontal force ModifyingAbove Upper F With right-arrow Subscr
ID: 1773816 • Letter: I
Question
In the figure, a horizontal force ModifyingAbove Upper F With right-arrow Subscript a of magnitude 22.0 N is applied to a 2.98 kg book as the book slides a distance d = 0.70 m up a frictionless ramp at angle = 30°. (a) During the displacement, what is the net work done on the book by Upper F Overscript right-arrow EndScripts Subscript a, the gravitational force on the book, and the normal force on the book? (b) If the book has zero kinetic energy at the start of the displacement, what is its speed at the end of the displacement?
Explanation / Answer
a) Here ,
F = 22 N
m = 2.98 Kg
d = 0.70 m
theta = 30 degree
a) net work done on the block = work done by F + work done by gravity + work done by normal force
net work done on the block = 22 * 0.70 * cos(30 degree) - 2.98 * 9.8 * sin(30 degree) * 0.70 + 0
net work done on the block = 3.12 J
the net work done on the block is 3.12 J
b) let the final speed of the block is v
Using work energy theorum
0.50 * 2.98 * v^2 = 3.12
v = 1.45 m/s
the speed of the block is 1.45 m/s
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