Consider the movement of a molecule of mass m beneath the impact of a forceF = -Kr, where K could be a positive consistent and r is the position vector of theparticle.(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 planetarymotion?76

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