The backpack has been lifted for 0.58 m
Explanation:
The work done in lifting an object is equal to the gain in gravitational potential energy of the object:
[tex]W=mg\Delta h[/tex]
where
(mg) is the weight of the object, with
m being the mass
g being the acceleration due to gravity
[tex]\Delta h[/tex] is the change in height of the object
In this problem,
W = 110 J is the work done
mg = 190 N is the weight of the backpack
Solving for [tex]\Delta h[/tex], we find the change in height of the backpack:
[tex]\Delta h = \frac{W}{mg}=\frac{110}{190}=0.58 m[/tex]
Learn more about work:
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