An object moving in the xy-plane is acted on by a conservative force described by the potential-energy function

U(x, y)=α(1/x^2+1/y^2), where α is a positive constant.

Required:
Derive an expression for the force expressed in terms of the unit vectors i^ and j^.

Six solutions are made, each with a y concentration of 1.0 μm and varying concentrations of ab as shown below. based on the concentrations, rank the solutions in decreasing order of reaction rate.

The “death throes” of stars are amongst the most complex phenomena in all of astronomy, and the “corpses” of stars amongst the most energetic and exotic objects in existence. beginning at the end of the core helium fusion stage in a star’s life, describe in detail the post-main sequence development of both (a) a 1.0 solar mass star, and (b) a 25.0 solar mass star. in what significant ways do they differ? what role does each of these types of stars play in the "star-gas-star" cycle and the evolution of chemical elements in our galaxy?

Which property of fossils allow scientists to determine the relative rock ages..