Cart A with mass \(m\) is moving with velocity \(v\) to the right on a horizontal, frictionless track toward Cart B with mass \(2m\), which is initially at rest. The carts collide, and during the collision, Cart A exerts a constant average force of magnitude \(F\) on Cart B for a time interval \(\Delta t\).

Which of the following correctly identifies the change in momentum of Cart A, \(\Delta p_A\), and the change in momentum of the two-cart system, \(\Delta p_{sys}\), during this time interval?

	\(\Delta p_A\)	\(\Delta p_{sys}\)
(A)	\(-F\Delta t\)	\(0\)
(B)	\(+F\Delta t\)	\(0\)
(C)	\(-F\Delta t\)	\(-F\Delta t\)
(D)	\(-F\Delta t\)	\(+F\Delta t\)