Question

You did 130 J of work lifting a 100 N backpack. How high did you lift the backpack?

Answer 1

1.3 m

Step-by-step explanation:

The work done in lifting the backpack is equal to the change in gravitational potential energy of the backpack, so:

`\Delta U=W \Delta h`

where

W = 100 N is the weight of the backpack

`\Delta h` is the change in heigth of the object

In this problem, we know that

`\Delta U = 130 J`

so we can re-arrange the equation to find the change in height of the backpack:

`\Delta h = (\Delta U)/(W)=(130 J)/(100 N)=1.3 m`