Using the definition of the scalar product, find the angles between the following pairs of vectors. (a) a 2 k and b - 31 -51 -5 k (b) a k and b -4i -4 i+2 k (c) a-4i- 3j-5 k and b 4 i

Consider a system to be two train cars traveling toward each other. what is the total momentum of the system before the train cars collide?   kg • what must the total momentum of the system be after the train cars collide?   kg •  

Nitrogen (n2) undergoes an internally reversible process from 6 bar, 247°c during which pν1.2 = constant. the initial volume is 0.1 m3 and the work for the process is 121.14 kj. assuming ideal gas behavior, and neglecting kinetic and potential energy effects, determine heat transfer, in kj, and the entropy change, in kj/s. show the process on a t-s diagram.

Current from a charged capacitor lights a bulb. as time goes on the brightness of the