Originally posted by: pray4mojo
Originally posted by: AbAbber2k
Originally posted by: pray4mojo
No thats like trying to lift yourself.
What... you saying you can't do that?
Pull yourself upwards on the collar of your shirt and see if you can lose your normal force.
Lifting yourself is different in a few important, obvious ways.
The fan acts as an external force. Let's make some assumptions, as we're supposed to do in physics
1) The friction between the water and the boat is zero (silly but okay)
2) The air coming out of the front side of the fan is moving faster than air coming out the back (this is true for fans, the motor does work to accelerate the air).
3) Gravity and the buoyant force have no horizontal components (a fair assumption for this example)
4) All energy created by the fan in the form of moving air impacts on the sail (assumption from the problem)
You are using a fan to generate moving air. This would create two forces: One force due to the change in momentum of the air and one force due to the air hitting the sail. These forces push in opposite directions; the air being pushed away by the fan would actually cause the boat to move backward whereas the air hitting the sail would cause the boat to move forward.
If we're assuming no energy loss, then the boat will not move at all. The force of the fan causing the boat to move backward will cancel with the force on the sail causing the boat to move forward.
As joshsquall stated, you can get the boat to move forward if you point the fan toward the rear of the boat. This would create only one force and therefore the boat would move forward. If we assume that the moving air travels around the world and hits the sail from the other direction, then the boat does not move at all even if you point the fan toward the rear of the boat.
The boat will not move.