Miss Brennan carried a box full of biology projects up the stairs at her home to grade in her office. The box weighed 2 kg when she got the top of the stairs she had to carry the box up 9.5 m how much potential energy did the box of assignments have at the top of the stairs.

To calculate the potential energy of an object, we use the formula:

Potential Energy = mass × acceleration due to gravity × height

Given:
Mass of the box, m = 2 kg
Height climbed, h = 9.5 m
Acceleration due to gravity, g = 9.8 m/s²

Now we can substitute these values into the formula to find the potential energy:

Potential Energy = 2 kg × 9.8 m/s² × 9.5 m
Potential Energy = 186.2 joules

Therefore, the box of assignments has a potential energy of 186.2 joules at the top of the stairs.