Now assume that the boat is subject to a drag force fd due to water resistance. is the component of the total momentum of the system parallel to the direction of motion still conserved?

No

The law of conservation of momentum states that "if there is no external force acting on the system, then the total momentum just before is equal to the total momentum after the collision". when using this equation, we must pay attention to the direction of the speed of each object.

The law of conservation of momentum is one of the basic laws in physics. This law states that "the total momentum of two objects before the collision is the same after a collision". This statement implies that the total momentum value when objects collide is constant or unchanged. To understand this law, we can begin by understanding Newton's Third Law of Action and Reaction.

The force acting on each colliding object occurs over a period of time. Regardless of the length of time the force contact occurs, this time interval is the same for object 1 and object 2. This means that the time interval between the workings of the forces from object 1 to object 2 is the same as the time interval for the workforce of object 2 to object 1.

As a consequence of the forces acting on the two objects are equal/opposite direction and the time interval between the occurrence of the force is also the same, then the impulse that occurs on the two objects is the same value and opposite direction.

From the theory of impulse-momentum change, that the impulse that occurs in an object is the same as its momentum change. Thus, because every object experiences an impulse that is equally large and opposite in direction, then logically each object also experiences changes in momentum that are as large and opposite.

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 The law of conservation of momentum

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Grade:  High School

Subject:  Physics

keywords: Momentum, impulse.

momentum of soft ball three times less than baskey ball