Question

The statemente immediately to follow leven when long and complicatod) are considered (in this context) GIVEN You may assume and rely on them for the problem/proof to follow a bit further down. Note: In some cases, "GIVEN' might mean 'self-evident or obvioue'. but in other casos, it might not. GIVEN might not mean obvious": it can simply mean 'somehow established prior to this discussion'. GIVEN (for this context) → 1) Planet Earth can be treated as one large SOLID SPHERE of UNIFORM (constant) DENSITY, with constant ('known') mase M. constant ("known') radius R. 2) Given ANY TWO POINT MARCES, say m, and m2, then m, will necessarily exert a gravitational force onto me and thereby pull me directly toward mi. ** If we wish to be careful and precise in keeping track of directions. we can do the following: Let T be a dieplacement veelor that points directly from my to ma and is precisely as long as the distance between m1 and..2. then the customary scalar quantity referring to distance between master can be understood as the pure magnitude of the vector r. while the portibly lose familiar r is understood as the pure direction of ry Hones, the gravitational poll coorted by my onto me is given by force given by: F=_Gm,m,, r? This Claim is symmetrie (applio identically to the pull exerted by m2 onto m1). but is always and only a statement about the interaction which arices BETWEEN 2 (infinitesimally small) POINTS OF MACS('partiele).

Answer 1

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