Consider the movement of a molecule of mass m beneath the impact of a force F= -Kr, where K could be a positive consistent and r is the position vector of the particle. (a) Demonstrate that the movement of the molecule lies in a plane. (b) Discover the position of the molecule as a work of time, expecting that at t = 0, x = a, y = 0, Vx = 0, Vỵ = V. (c) Appear that the circle is an ellipse.
Consider the movement of a molecule of mass m beneath the impact of a force F= -Kr, where K could be a positive consistent and r is the position vector of the particle. (a) Demonstrate that the movement of the molecule lies in a plane. (b) Discover the position of the molecule as a work of time, expecting that at t = 0, x = a, y = 0, Vx = 0, Vỵ = V. (c) Appear that the circle is an ellipse.
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Transcribed Image Text:Consider the movement of a molecule of mass m beneath the impact of a force
F = -Kr, where K could be a positive consistent and r is the position vector of the
particle.
(a) Demonstrate that the movement of the molecule lies in a plane.
(b) Discover the position of the molecule as a work of time, expecting that at t =
0, x = a, y = 0, Vx = 0, Vy = V.
(c) Appear that the circle is an ellipse.
(d) Discover the period.
(e) Does the movement of the molecule comply Kepler's laws of planetary
motion?
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