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Solve momentum and impulse problems with real-life scenarios involving a person changing a tire on a hill and a boat tied to a dock. Calculate tire speed, impulse, boat speed, docking line impulse, and required force.
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NOTES 15 - Topic 2 - Mechanics ------------------------------------------------------------------------------------------------- 2.2.13 Solve problems involving momentum and impulse; (show solutions in NB) A person changing a flat tire (m = 20. kg) on a hill that is 20. m above a lake loses his grip on the tire. The tire rolls down the hill, across a dock, and rolls into a rowboat that is tied to the end of the dock with a long docking line (ignore its mass). The boat (m = 200. kg) and the tire float off together until the boat reaches the end of its docking line. (A) Assuming no friction, what is the speed at which the tire leaves the dock? Given: Unknown: Equation:
(B) What impulse must have been given to the tire while it was rolling down the hill? Given: Unknown: Equation:
(C) At what speed do the boat and tire float off together? Given: Unknown: Equation:
(D) How much impulse is applied by the docking line to stop the boat+tire from floating away? Given: Unknown: Equation:
(E) How much force must the docking line be able to apply to stop the boat+tire if the force is applied over 0.20 s? Given: Unknown: Equation: