Shanice is setting up a mobile (a balanced system of a light rod with toys hanging from it) in a nursery. The light rod is 45 cm long and the string from which it will hang is 15 cm from the left end. A 0.075 kg toy is hanging 2.0 cm from the left end and a 0.015 kg toy is hanging 5.0 cm from the right end. Shanice has studied physics and decides to do a calculation to determine where to put the third toy so the mobile becomes balanced (without moving the string from which the mobile hangs). If the mass of the third toy is 0.067 kg, where does it go? Hint: This problem is made much easier with a particular choice of origin.

Consider the following position function. find (a) the velocity and the speed of the object and (b) the acceleration of the object. bold r left parenthesis t right parenthesisr(t)equals=left angle 6 t superscript 4 baseline comma 2 t cubed right angle6t4,2t3 for tgreater than or equals≥0

The items in the following list are all units of matter. which is the smallest unit that retains the properties of the matter? a.) atom b.) compound c.) electron d.) element

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.