Two bodies with masses and lying on a horizontal smooth surface are connected by a light rope. The rope breaks at a force greater than . Two forces and begin to act on the bodies in opposite directions as shown in the figure below. The constant , and is the time in seconds.
Obtain an equation that shows the change in the acceleration of the bodies with time.
What is the force in the rope after from the start of the forces?
How long does it take for the rope to break?