A loaded truck (truck 1) has a maximum engine power P and is able to attain a maximum speed v. Another truck (truck 2) has a maximum engine power 2P and can attain a maximum speed of 1.5v. The two trucks are then connected by a long cable. Where Truck 2 is ahead of Truck 1.
To solve this problem, assume that each truck, when not attached to another truck, has a speed that is limited only by wind resistance. Also assume (not very realistically)
A) That the wind resistance is a constant force (a different constant for each truck though). i.e. It is independent of the speed at which the truck is going.
B) That the wind resistance force on each truck is the same before and after the cable is connected, and,
C) That the power that each truck's engine can generate is independent of the truck's speed.
Assuming both engines are running at maximum power.
To solve this problem, assume that each truck, when not attached to another truck, has a speed that is limited only by wind resistance. Also assume (not very realistically)
A) That the wind resistance is a constant force (a different constant for each truck though). i.e. It is independent of the speed at which the truck is going.
B) That the wind resistance force on each truck is the same before and after the cable is connected, and,
C) That the power that each truck's engine can generate is independent of the truck's speed.
Assuming both engines are running at maximum power.