An object $($mass$25$kg$)$ is at rest on a cart $($ mass$8\mathrm{.}70$kg$)$ a force with constant acceleration start pulling on the object $2\mathrm{.}50$ s providing the cart snd object with a speed of $1\mathrm{.}80$ m$/$s$.$ Find the impulse that this force imparted to the combined total mass of object and cart. Find the force