A plane (mass=1000kg) is trying to land on a barge(mass=2300kg). The plane lands with a speed of 50m/s at one end of the barge. The barge is on a calm sea. The force of friction between the plane and the barge is 1/4 the force of gravity acting on the plane. What should be the minimum length of the barge for the plane to not fall into the sea? What I think: The only netforce acting on the plane is the force of friction. The plane undergoes a change in momentum which is transferred to the barge(which I do not see how it affects the length of the barge, we are not regarding relativistic effects). I can use the change in momentum and netforce to find the time interval. So since I have the final velocity, initial velocity, time, acceleration, how can I use kinematics to solve this question? Should I use kinematics?