The height of the shelf on which the box is sitting is 2 meters.
Given the data in the question;
- Mass of box; [tex]m = 17kg[/tex]
- Potential energy of box; [tex]P_E = 350J[/tex]
Distance between the box and the ground; [tex]h = \ ?[/tex]
What is Potential Energy?
Potential Energy is simply the energy possessed by an object or particle due to its position relative to other objects. It is expressed as;
[tex]P_E = mgh[/tex]
Where m is mass of the object, h is the height from the ground and g is the gravitational acceleration which is a constant ( [tex]g = 9.8m/s^2[/tex] )
Now, to determine distance between the box and the ground which is also the same as the height of the shelf on which the box is sitting, we input our values into the expression above.
[tex]P_E = mgh\\\\350J = 17kg * 9.8m/s^2 * h\\\\350kgm^2/s^2 = 17kg * 9.8m/s^2 * h\\\\350kgm^2/s^2 = 166.6kgm/s^2 * h\\\\h = \frac{350kgm^2/s^2}{166.6kgm/s^2} \\\\h = 2m[/tex]
Therefore, distance between the box and the ground which is also the same as the height of the shelf on which the box is resting is 2 meters.
Learn more about potential energy: https://brainly.com/question/21288807
