. A slender rod with length Lhas a mass per unit length that varies with distance from the left end, where 푥=0, according to 푑푚/푑푥=훾푥, where 훾has units of kg/m2.a) Calculate the total massMof the rod in terms of 훾and L. b) Use the equation 퐼=∫푟=푑푚to calculate the moment of inertia of the rod for an axis at the left end, perpendicular to the rod. Express your resultinterms of Mand L.(Hint: Revise the problem-solving section 9)c) Assume that the rodwithlength퐿=0.4푚andmass푀=3.0푘푔is rotating about theaxis as in part b. The angle through which the rod has turned varies with time according to휃(푡)=(1.1푟푎푑푠⁄)푡+(6.3푟푎푑푠=⁄)푡=.Wh at is the kinetic energy of the rod when it hasrotated0.1 rev? (Note: 1푟푒푣=2휋푟푎푑)

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

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

The protons in a nucleus are approximately 2 ✕ 10^−15 m apart. consider the case where the protons are a distance d = 1.93 ✕ 10^−15 m apart. calculate the magnitude of the electric force (in n) between two protons at this distance.