The speed s of blood that is r centimeters from the center of an artery is given below, where c is a constant, r is the radius of the artery, and s is measured in centimeters per second. suppose a drug is administered and the artery begins to dilate at a rate of dr/dt. at a constant distance r, find the rate at which s changes with respect to t for c = 1.54 105, r = 1.3 10-2, and dr/dt = 1.0 10-5.

s = c(r^2 − r^2)

ds/dt =/s

Atelevision set that has been running for a while heats up even the air around it. which two laws of thermodynamics could be used to analyze this scenario

Two objects of different mass start from rest, are pulled by the same magnitude net force, and are moved through the same distance. the work done on object 1 is 900 j. after the force has pulled each object, object 1 moves twice as fast as object 2. how much work is done on object 2?

Aflask with vinegar in it has a mass of 160 grams. a balloon with baking soda in it has a mass of 40 grams. the balloon is attached to the flask to seal the opening and the vinegar and baking soda mixes. the balloon inflates to a large volume. what will the total mass of the balloon and flask be after the balloon inflates? explain. a) less than 200 grams because the solid baking soda disappears. b) 200 grams, because all the atoms remain in the balloon or flask. c) more than 200 grams because the size of the balloon is so much larger. d) less than 200 grams because gases such as the one in the balloon are lighter than solids and liquids.