Chapter 06a

# Chapter 06a - Chapter 6A Newton's Second Law and Collisions...

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Chapter 6A 1 Newton’s Second Law and Collisions Applying Newton’s second law is difficult when the forces are not constant. When objects collide the forces and accelerations are not constant. time force

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Chapter 6A 2 Equations of Motion and Collisions Our equations of motion won’t be helpful because they assume constant acceleration: v = v 0 + at x = 1 2 v 0 + v ( 29 t x = v 0 t + 1 2 at 2 x = vt - 1 2 at 2 v 2 = v 0 2 + 2 a x
Chapter 6A 3 Collisions Still, we can predict the motion of colliding objects even when we don’t know enough about the forces to apply Newton’s second law. The average acceleration of a colliding object must be: r a av = r v f - r v i t

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Chapter 6A 4 Collisions The average net force on the colliding object must be: r F av = m r a av = m r v f - r v i t r F av t = m r v f - m r v i time force F When a force F is applied for a time t the quantity mv changes. This is true even when F is not constant. Rearranging this gives:
Chapter 6A 5 New Concept: Linear Momentum kg m s Linear momentum ( ): Momentum is a vector quantity Direction of momentum = direction of velocity Units: r p r p = m r v

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6 New Concept: Linear Momentum All moving objects have momentum. We can think of momentum as “inertia in motion.”
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Chapter 06a - Chapter 6A Newton's Second Law and Collisions...

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