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Published byClaude Bailey Modified over 6 years ago
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m . a F = F = m . v P = m . v t F.t = m . v P = m . v
New Definition… F = m . a Momentum = mass . velocity F = m . v P = m . v t (Unit = kg . m/s) F.t = m . v P = m . v “Change in” Momentum = (This is called Impulse) F.t = P * Impulse is the unbalanced force multiplied by the time of interaction, that causes an object to change its Momentum
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Momentum – is a vector! Which means that momentum can have a Positive OR Negative Direction!
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Conservation of Momentum
If no outside unbalanced forces (F) act on an object, its momentum remains constant. Consider a system of 2 or more objects…without any outside forces acting on the system, momentum is constant.
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Conservation of Momentum
Consider a system where 2 objects collide with each other. If there is no friction or air resistance, the Combined Total Momentum of the objects will be the same before and after the collision
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Conservation of Momentum
Equation: Pbefore = Pafter (P = P’) (mv)A + (mv)B = (mv)’A + (mv)’B A B v v
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Example: Cart A and B are each 2 kg
Example: Cart A and B are each 2 kg. VA = 6 m/s; VB = 4 m/s in the opposite direction. If Cart A has a velocity of 0.5 m/s after collision, what is the velocity of cart B after the collision? A B v v
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(mv)A + (mv)B = (mv)’A + (mv)’B
(2 kg)(6 m/s)A + (2 kg)(-4 m/s)B = (2 kg)(0.5m/s) + (2 kg)(v’B) A B v v
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(mv)A + (mv)B = (mv)’A + (mv)’B
12 kg m/s - 8 kg m/s = (2 kg)(0.5m/s) + (2 kg)(v’B) A B v v
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(mv)A + (mv)B = (mv)’A + (mv)’B
12 kg m/s - 8 kg m/s = 1 kg m/s + (2kg)(v’B) A B v v
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(mv)A + (mv)B = (mv)’A + (mv)’B
4 kg m/s = 1 kg m/s + (2 kg)(v’B) - 1 kgm/s 3 kgm/s = kg v’B 2 kg 2 kg v’B = +1.5 m/s A B v v
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