Conservation of momentum of a raft

In summary, a raft with a mass of 180 kg is initially at rest and carrying two swimmers with masses of 50 kg and 80 kg. The swimmers dive off opposite ends with a horizontal velocity of 3 m/s each, causing the raft to start moving. The total momentum in the system is conserved and the raft is pushed by the combined momentum of the two swimmers, who transfer momentum to the raft simultaneously. A diagram of momentum vectors would be helpful in visualizing this scenario.
  • #1
itscuzimbrown
1
0
hi!

i'm having trouble solving this problem...hopefully someone can at least get me started

A raft of mass 180 kg carries two smimmers of mass 50 kg and 80 kg. The raft is initially floating at rest. The two swimmers simultaneously dive off opposite ends of the raft, each with a horizontal velocity of 3 m/s. With what velocity and in what direction does the raft start to move? (Note: there are three objects in the system)

Thanks :smile:
 
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  • #2
HINT:The total momentum in the system is conserved.Note the relevance of the word "simultaneoulsy".That means that the swimmers transfer momentum to the boat only.

A diagram of momentum vectors would help,too.

Daniel.
 
  • #3
The initial mass is 180+80+50. The final mass is 180kg, and was pushed by two swimmers of 130kg both at 3m/s. Take a stab at what will happen to the raft.
 

1. What is conservation of momentum?

Conservation of momentum is a fundamental principle in physics that states that the total momentum of a system remains constant unless acted upon by an external force.

2. How does conservation of momentum apply to a raft?

In the context of a raft, conservation of momentum means that the total momentum of the raft and its occupants will remain constant unless acted upon by an external force, such as a wave or a paddle.

3. Why is conservation of momentum important for a raft?

Conservation of momentum is important for a raft because it helps to ensure the stability and balance of the raft as it moves through the water. It also helps to predict and control the movement of the raft in response to external forces.

4. What factors can affect the conservation of momentum on a raft?

The conservation of momentum on a raft can be affected by factors such as the mass and velocity of the raft and its occupants, the direction and magnitude of external forces, and the shape and design of the raft.

5. How can the conservation of momentum be utilized to improve rafting techniques?

By understanding the principles of conservation of momentum, rafters can make more efficient use of their energy and better control the movement of the raft. For example, they can adjust their paddling technique to maintain a constant momentum or use their body weight to counter external forces and maintain balance.

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