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HWPH351 Fall 2017 Chap 8 HW V2 Fall 2017 Chap 8 Hwv2 ontents H351 16. Using eqs

ID: 3280938 • Letter: H

Question

HWPH351 Fall 2017 Chap 8 HW V2 Fall 2017 Chap 8 Hwv2 ontents H351 16. Using eqs (1)-(3), work out the orbital eq (4) under central force. Further, continue to use eqs. (5) and (5.5), work out orbital eq. (6) for inversed square force law. d e 17. Write a short paragraph explaining that all central force leads to equal area sweeping rate 18. Show that the orbital period for a tree-top Earth satellite in a circular orbit is the same as the period of oscillation of the particle dropped inta ahe pdrilled through the center of Earth. The , where G is the constant for universal period for the object dropped into the hole is gravity and is the density of Earth.

Explanation / Answer

17) Areal velocity is the rate at which area is being swept out by the particle relative to the center. The areal velocity is constant for a particle acted upon by any type of central force.The constancy of areal velocity may be illustrated by uniform circular motion. Since the angular velocity = v/r is constant, the area swept out in a time t equals ( rt).r

hence equal areas are swept out in equal times t.

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