Momentum and Energy in Elastic Collisions (HSC SSCE Physics): Flashcards

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Momentum and Energy in Elastic Collisions
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Elastic collision definition

Total kinetic energy conserved before and after

Conserved quantities in elastic collision

Both momentum and kinetic energy

Momentum conservation equation

m1u1+m2u2=m1v1+m2v2m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2

Kinetic energy conservation (elastic collision)

12mv2\sum \frac{1}{2}mv^2 before = 12mv2\sum \frac{1}{2}mv^2 after

Velocity relation (elastic collision only)

u1+v1=v2+u2u_1 + v_1 = v_2 + u_2

Equal mass elastic collision outcome

Objects swap velocities

Small object + large stationary (elastic)

Rebounds: same speed, opposite direction

Why field forces enable perfect elastic collisions

No friction, heat, or sound losses

Newton's cradle: collision type

Approximately elastic

Sling-shot manoeuvre velocity formula

v1=2u2u1v_1 = 2u_2 - u_1

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