query: Why is velocity squared in kinetic energy?
positive_passages.docid: 145113
positive_passages.text: How can kinetic energy be proportional to the square of velocity, when velocity is relative?
negative_passages.docid: 93539
negative_passages.text: Why is $M\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ correct and $(M - dm)\frac{dv}{dt} = v_{rel} .\frac{dm}{dt}$ wrong?
negative_passages.docid: 12818
negative_passages.text: In calculating work done by a constant force over a constant distance, why doesn't the subject's initial velocity matter?
negative_passages.docid: 97185
negative_passages.text: Conservation of energy and Doppler effect?
negative_passages.docid: 77318
negative_passages.text: Why do we consider potential energy function $U(x)$ differentiable?
negative_passages.docid: 57401
negative_passages.text: Difference between Speed and Velocity
negative_passages.docid: 122376
negative_passages.text: Is Einstein's formula $E=mc^2$ the same as the kinetic energy formula $\dfrac{1}{2} mv^2$?
negative_passages.docid: 146358
negative_passages.text: Why is there a $\frac 1 2$ in $\frac 1 2 mv^2$?
negative_passages.docid: 58605
negative_passages.text: Landau's derivation of a free particle's kinetic energy- expansion of a function?
negative_passages.docid: 124744
negative_passages.text: Conservation of $\vec{p}$ in Ballistic pendulum
negative_passages.docid: 7477
negative_passages.text: Why is the momentum of a particle $\gamma mv$?
negative_passages.docid: 128479
negative_passages.text: Can velocity be an undefined quantity?
negative_passages.docid: 12734
negative_passages.text: Why isn't average speed defined as the magnitude of average velocity?
negative_passages.docid: 112209
negative_passages.text: Landau's argument for dependence of Lagrangian on magnitude of velocity
negative_passages.docid: 77245
negative_passages.text: Angular momentum squared and Hamiltonian?
negative_passages.docid: 131167
negative_passages.text: Kinetic energy of the object, but Potential energy of the system: Why is it so?
negative_passages.docid: 85291
negative_passages.text: Why can velocity and acceleration be negative?