Answer:
d = 8 [m]
Explanation:
To solve this problem we must use the principle of conservation of energy, where the mechanical energy in a state plus the work done on the body, must be equal to the mechanical energy in the state Y. This can be easily represented in the following equation.

where:
Ex = Mechanical energy in X [J]
Wx-y = Work among states x and y [J]
Ey = Mechanical energy in Y [J].
The key to being able to understand this problem is that in state X, we only have kinetic energy, while the energy in state Y is equal to zero (there is no movement). The work is equal to the product of force by distance, as work acts in the opposite direction to movement, this has a negative sign.
![800 - F*d = 0\\100*d = 800\\d = 800/100\\d = 8 [m]](https://tex.z-dn.net/?f=800%20-%20F%2Ad%20%3D%200%5C%5C100%2Ad%20%3D%20800%5C%5Cd%20%3D%20800%2F100%5C%5Cd%20%3D%208%20%5Bm%5D)