Multiple Correct: Consider two laboratory carts of different masses but identical kinetic energie $.$ Which of the following statements must be correct? Select two answers.

$($A$)$ The one with the greatest mass has the greatest momentum

$($B$)$ The same impulse was required to accelerate each cart from rest

$($C$)$ Both can do the same amount of work as they come to a stop

$($D$)$ The same amount of force was required to accelerate each cart from rest