query: Why is Newton's First Law not considered a vacuous statement?
positive_passages.docid: 36490
positive_passages.text: Why is Newton's first law necessary?
negative_passages.docid: 47073
negative_passages.text: How does Newtonian mechanics explain why orbiting objects do not fall to the object they are orbiting?
negative_passages.docid: 106538
negative_passages.text: Why are thermodynamic potentials minimised?
negative_passages.docid: 39041
negative_passages.text: work done is zero if displacement of point of application of force is zero but why can't we assume forces on COM and its displacement
negative_passages.docid: 11146
negative_passages.text: Why is Buoyant Force $V\rho g$?
negative_passages.docid: 42186
negative_passages.text: When is the Hamiltonian of a system not equal to its total energy?
negative_passages.docid: 46454
negative_passages.text: Is gravity an entropic force after all?
negative_passages.docid: 139646
negative_passages.text: Can we rigorously define force?
negative_passages.docid: 117819
negative_passages.text: Why is first fundamental form considered intrinsic
negative_passages.docid: 18054
negative_passages.text: Is there a proof from the first principle that the Lagrangian L = T - V?
negative_passages.docid: 130028
negative_passages.text: Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
negative_passages.docid: 82624
negative_passages.text: "Newtonian limit" property of special relativity
negative_passages.docid: 143803
negative_passages.text: The elusive difference between force and impulse
negative_passages.docid: 112308
negative_passages.text: Why is the gravitational potential energy defined as negative?
negative_passages.docid: 120538
negative_passages.text: Newton's First Law of Motion; Empirical Aspects
negative_passages.docid: 81967
negative_passages.text: Second law of Newton for variable mass systems
negative_passages.docid: 155740
negative_passages.text: Newton's Law of Graviation: Why $G$ and not e.g. $\dfrac{1}{4\pi G_0}$?