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ME - (definition of law of conservation of momentum To find...

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If the person on the cart starts moving at a constant speed V0, the momentum of the person is conserved, and essentially “gives” the momentum to the cart. Therefore, I used the law conservation of momentum, which states that momentum is the product of mass x velocity, is neither created nor destroyed, and that the total amount of momentum remains constant. Therefore I used this principle to find the velocity of the vehicle system. I know that the momentum of the person is m(mass of the man) x V0 (constant speed of the man) and is equal to the mass of the vehicle system, or mass of the man + mass of the cart (m+M) times velocity of the system (V). I then solved the equation for V to find that V = (m x V0)/(m+M) Because of the law of conservation of momentum: m x V0 = (m+M) V Therefore, V = (m x V0)/(m+M) http://www.grc.nasa.gov/WWW/K-12/airplane/conmo.html
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Unformatted text preview: (definition of law of conservation of momentum) To find the force of the person, I used the definition of force which is that force is the exchange of momentum with respect to time. So to find force, I knew I had to find the change in momentum/change in time. Since momentum = mass x velocity, to find the change of momentum I would find mass(final velocity – initial velocity). The mass of the person = m, the final velocity = 0 and the initial velocity = V0, so the change in momentum = m(-V0). The time given in the problem is t0, so the force of the person = -m(V0)/t0 Force = change in momentum/change in time Change in momentum = mass(V final – V initial ) = m(0-V0) = -m(V0) Mass = m V final = 0 V initial = V0 Change in time = t0 Force = -m(V0)/t0 http://galileoandeinstein.physics.virginia.edu/lectures/momentum.html (definition of force/equation)...
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