query: How did we arrive that kinetic energy $KE = \frac{1}2 mv^2 $?
positive_passages.docid: 4821
positive_passages.text: Why does kinetic energy increase quadratically, not linearly, with speed?
negative_passages.docid: 79811
negative_passages.text: How is the energy loss by an accelerating charge expressed in the equations of motion?
negative_passages.docid: 120098
negative_passages.text: Work and Kinetic energy rely on each other which came first?
negative_passages.docid: 29389
negative_passages.text: Why does $k/m=\omega^2$ for harmonic motion?
negative_passages.docid: 154295
negative_passages.text: Total mechanical energy concept
negative_passages.docid: 29928
negative_passages.text: Is kinetic energy a relative quantity? Will it make inconsistent equations when applying it to the conservation of energy equations?
negative_passages.docid: 62359
negative_passages.text: Contradiction between law of conservation of energy and law of conservation of momentum?
negative_passages.docid: 100694
negative_passages.text: Kinetic energy in work energy theorem
negative_passages.docid: 6707
negative_passages.text: Why there is a $\frac{1}{2}$ in the distance formula $d=\frac{1}{2}at^2$?
negative_passages.docid: 49044
negative_passages.text: Question about Eulers formula $v - e + f = 2$
negative_passages.docid: 28618
negative_passages.text: Deriving Heaviside-Feynman formula for the electric field of an arbitrarily moving charge from Lienard-Wiechert potential
negative_passages.docid: 37291
negative_passages.text: Why does the branch cut of the self-energy begin at $2m$?
negative_passages.docid: 19163
negative_passages.text: Why does the amount of energy transferred depend on distance rather than time?
negative_passages.docid: 83453
negative_passages.text: Why isn't energy conserved in this collision problem?
negative_passages.docid: 4143
negative_passages.text: How can momentum but not energy be conserved in an inelastic collision?
negative_passages.docid: 108384
negative_passages.text: Special Relativity and $E = mc^2$
negative_passages.docid: 31703
negative_passages.text: How did Planck derive his formula $E=hf$?