The box was moved 15 m upward
Explanation:
The work done by a force applied upward, 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 its mass and g the acceleration due to gravity
[tex]\Delta h[/tex] is the change in height of the object
In this problem we know:
W = 75 J is the work done on the box
(mg) = 5 N is the weight of the box
Assuming that the force is applied upward and solving for [tex]\Delta h[/tex], we find how far the box was moved:
[tex]\Delta h = \frac{W}{mg}=\frac{75}{5}=15 m[/tex]
Learn more about work:
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