Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear...

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Energy and momentum

Transcript of Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear...

Page 1: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Energy and momentum

Page 2: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Work – kineticEnergy theorem

W= F d cos Q

Page 3: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Work byhorizontal movement

Work bygravitational force

W = Kf – Ki =½ mv² - ½ mv0²= F*d

Page 4: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Elevator capdescent

W = - m g d cos f

Page 5: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Work by spring force

F = - k d Hook´s law

W = ½ kxi² - ½ k xf²W < 0

W > 0

Page 6: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Work by a variable force

DWj = Fj Dx

Page 7: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Potential energy

DU = - W

Page 8: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Conservative force

Page 9: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Gravitationalpotential energy

U(y) = m g (y – yi) = m g (y – 0) = m g h

Page 10: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Conservativemechanical energy

K1 + U1 = K2 + U2

Page 11: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Potential energycurves

K(J)

0

-5

1

Energy necessary toescape

Page 12: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Potential energy landscape Periodic potential for electrons in a solid

bonding state

free state

Energynecessary toliberate

Page 13: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Linear momentum -Impuls

Page 14: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Conservation oflinear momentum

Page 15: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Inelastic collision

Page 16: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Elastic collision

Page 17: Energy and momentum - physik.uni-siegen.de · Linear momentum - Impuls. Conservation of linear momentum. Inelastic collision. Elastic collision. Collision in 2D X-axis Y-axis Conservation

Collision in 2D

X-axis

Y-axis

Conservation of momentum

Conservation of energy