In last week’s problem 4, you were asked to consider a massmsliding frictionlesslydown an inclined plane of massm, while the plane itself was free to slide frictionlesslyon the floor. last week, you found the equations of motion for this system usingd’alembert’s principle. this week, give it another try, using lagrange’s equations.(a) show and name the generalized coordinates you will use. how many degrees offreedom are there? (b) write the lagrangian for the system using your choice of coordinates.(c) write the equations of motion. do they match what you found last week?

Researchers determine that the biodiversity in a woodland region is declining. they identify two major threats to the region's biodiversity, a method to address each threat, and the expected outcome of each method. this information is shown in the table. a) reforestation would not benefit many species because most forest species live on the ground. b) reforestation would take the longest time to be effective because trees take several years to grow. c) biological augmentation would benefit only a few species because is is typically not very effective. d) biological augmentation would take less time to ve effective because it targets the majority of prey species.

Asmall object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. the upper end of the rope is attached to the ceiling. as the object swings through its lowest position, where the rope is vertical, the speed of the object is 5.80 m/s. at this point in the motion, what is the tension in the rope? (use g = 9.80 m/s2.)

Lightning is an example of what phenomenon? a release of a large amount of energy an absorption of a large amount of energy a natural electric circuit a natural electric current