Suppose a flat piece of plastic of uniform density rho is in the shape of a right triangle. The legs of the triangle are given as a and b . Where is the center of mass of this triangle? Using the coordinate system given, enter the coordinates of the center of mass in terms of a and b . Two perpendicular axes originate from the same point on the bottom left. An axis labeled X goes horizontally rightwards and an axis labeled Y goes vertically upwards. A point on the far right of the X axis is labeled A and a point at the top of the Y axis is labeled B. A shaded region forms a right triangle where the two axes are the legs and the hypotenuse is from point A to point B. The x ‑coordinate x CM of the center of mass is x CM = The y ‑coordinate y CM of the center of mass is y CM =

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

The boy of mass 30 kg is at r1= 2 meters from the fulcrum. of the girl is 45 kg, at what r2 must she sit so that they are balanced ?

When temperature of a substance increases, of its particles increase resulting in more between particles. real world applications of thermal expansion absolute zero (-273 degrees c) is the lowest possible temperature on the kelvin scale. it is a measure of where a substance has no kinetic energy. heat is a process of the . energy flows spontaneously from a object to a until equilibrium is reached. heat is measured in heat is transferred throughis a method of heat transfer that occurs between particles of matter that are in direct contact with each other. are poor conductors that impede / reduce the rate of heat transfer. is a method of heat transfer that occurs in fluids (non-solids) by means of currents. real world application of convectiona method of heat transfer through electromagnetic waves. when energy moves from one object to another inside a closed system, no energy is or in the system in the transaction. systems will spontaneously move to a state of organized energy or high disorder over time called