Lab Assignment 3: Newton’s LawsInstructor’s OverviewNewton’s laws of motion are a central component of our understanding of physics. As we discussed in Module 5, Newton’s laws can be summarized as follows: 1. Inertia – An object tends to resist changes in its motion. 2. Relationship between the mass of an object, the net applied force, and the resulting acceleration – F = m a. 3. Action-reaction pairs – Forces come in pairs. In this lab, you will perform experiments to explore each of the laws of motion.This activity is based on Lab 5 of the eScience Lab kit. Although you should read all of the content in Lab 5, we will be performing a targeted subset of the eScience experiments.Our lab consists of three main components. These components are described in detail in the eScience manual (pages 55-61). Here is a quick overview: • In the first part of the lab, you will use a bowl full of water to understand the concept of inertia. (eScience Experiment 1) • In the second part of the lab, you will recreate a classic physics experiment, the Atwood Machine. This system consists of a pulley holding a string with two unequal masses. Experimenting with an Atwood Machine is an excellent way to understand Newton’s second law of motion. (eScience Experiment 2, Procedure 1) • In the final part of the lab you will create a balloon-powered vehicle to elucidate Newton’s third law of motion. (eScience Experiment 4) Note: Record all of your data in the tables that are provided in this document.Take detailed notes as you perform the experiment and fill out the sections below. This document serves as your lab report. Please include detailed descriptions of your experimental methods and observations.Experiment Tips: Newton’s First Law – Water in a Bowl • I recommend that you perform this experiment outdoors as there most likely will be some spillage of water. Newton’s Second Law – The Atwood Machine • Prior to determining the mass of the washers, make sure to zero your spring scale. To zero your spring scale, hold it vertically with no mass attach and turn the top screw until the scale reads 0 grams. Refer to the following picture: • You may want to use the hooks on the pulley to hang your Atwood machine. I placed mine on a hanger: Newton’s Third Law – Balloon-Powered Vehicle • Here is a picture of my balloon-powered vehicle: • To add mass, I taped washers to the straw. Experiment 1 – inertia – Newton’s first law of motion.See page 119 of Physics by James Walker, 5th edition, for a statement of Newton’s First Law of Motion.Student: AbstractWater Bowl1. Fill the container with a couple of inches of water. 2. Find an open space outside to walk around in with the container of water in your hands. 3. Perform the following activities and record your observations of each motion in Table 1: a. Start with the water at rest (e.g., on top of a table). Grab the container and quickly accelerate it. b. Walk with constant speed in a straight line for 15 feet. c. After walking a straight line at constant speed, make an abrupt right-hand turn. Repeat with a left-hand turn.d. After walking a straight line at constant speed, stop abruptly.Data Table: Motion Observations a b c d Experiment 2 – mass and acceleration – Newton’s 2nd Law of MotionSee page 122 of Physics by James Walker, 5th edition, for a statement of Newton’s Second Law of Motion.A diagram, equations, and free body diagram for the Atwood Machine (a pulley with hanging masses) are shown on page 176 of Physics by James Walker, 5th edition.Abstract:Procedure:You will use the metal washers to make the masses. You can tie the washers to the string or use a hanger, such as a paper clip. If you do use a hanger you will have to include its mass into the total mass, mass of washers + mass of hanger.You will use 15 washers to make the larger mass and 5 washers to make the smaller mass.Use enough string to allow a mass to fall to floor when starting from near the pulley. The other mass is going from the floor to near the pulley. With the masses hanging from the pulley, the greater mass near the top, measure the distance the mass will fall to the floor. Time the fall of that mass.Calculate the acceleration of the falling mass: y = ½ a t2 : we assume no initial velocity when you started timing, that is you just let it drop and started timing when you let go. From the above we solve for a (acceleration): a = Note: This assumes you do not have a constant velocity. A constant velocity could occur with a significant pulley friction. Having masses with a large difference in value helps reduce the effect of pulley friction.Record 10 trials.Data table for the Atwood Machine experiment (Experiment 2, Procedure 1):Height = __ metersMass of 10 washers = __ gramsMass of 5 washers = __ gramsM1 = __ grams (lighter mass)M2 = __ grams (heavier mass)Trial NumberFall time (sec)Calculated acceleration (m/s2)12345678910AverageStandard Deviation.Experiment 3 - Balloon-Powered Vehicle – Newton’s third law of motion.A statement of Newton’s Third Law of Motion is on page 129 of Physics by James Walker, 5th edition.Abstract:Procedure: This will be easier with an assistant if available. Blow up the balloon similar to that shown in the picture above but do NOT tie the balloon. Attach a straw by taping to the balloon. Thread a string of about 10 ft. length through the balloon. Attach the string to two chairs and separate them until the string is tight. Release the balloon and observe its motion. Does it appear to accelerate?When released can you feel the air rushing out the orifice (nozzle if you like).Tape a washer to the balloon and repeat the experiment noting any observed difference in the balloons motion. ANALYSIS and DISCUSSIONBased on your experimental results, please answer the following questions:Water BowlExplain how your observations of the water demonstrate Newton’s law of inertia.Draw a free body diagram of your containers of water from the situation in part d (After walking in a straight line at constant speed, stop abruptly). In your free body diagram, draw arrows for the force of gravity, the normal force (your hand pushing up on the container), and the stopping force (your hand decelerating the container as you stop.) What is the direction of the water’s acceleration. Describe two instances where you feel inertial forces in a car.Atwood MachineDraw a FBD for M1 and M2 in your Atwood machine. Draw force arrows for the force due to gravity acting on both masses and the force of tensionCopy the Atwood Machine acceleration equation from the text.Using the masses M1 and M2, use the above expression to calculate the acceleration of the system. Make sure to show your calculation for the acceleration. How does this value compare to your experimentally measured acceleration? What factors may cause discrepancies between the two values?Balloon-Powered VehicleExplain what caused the balloon to move in terms of Newton’s Third Law.What is the force pair in this experiment? Draw a free body diagram to represent the (unbalanced) forces on the balloon/straw combination.ConclusionsReferences

  Analyse the following events in terms of the doctrine of incorporation and  the situations in which the veil of incorporation is lifted.  (i) Alpha Ltd and Beta Ltd are wholly owned subsidiaries of Gamma plc. The  boards of directors of both subsidiaries are appointed by Gamma plc. Gamma  plc has agreed to sell a piece of land to Omega plc. There is a legally  binding contract for this sale. However, Gamma plc has just received a  better offer for the land and wishes to escape its obligation to Omega plc.  Accordingly, Gamma plc transfers the land to Beta Ltd. Omega plc has commenced legal proceedings against Gamma plc and Beta Ltd for the specific  performance of the original contract of sale.

The tensions that arose between Great Britain and her North American colonies as a result of taxation and other measures following the Seven Years' War culminated in war, a movement for independence and the establishment of a new nation. The ideals that fueled the Revolution were grounded in Enlightenment Era thought. These same ideals still shape our vision as we continue to define American Democracy. To prepare for this post, please review the links below to support your discussion: Enlightenment Thought The Declaration of Independence After you have completed the readings answer ONE of the following questions: 1. How did Enlightenment Era thought influence the Declaration of Independence? In your answer, be sure to address how political thought evolved during the Enlightenment Era and how those shifts are represented within the Declaration of Independence.    2. Are Enlightenment ideals still relevant as a guiding force in current American society?  How so? In your answer, please be sure to address current events and issues.  Can you please also write a reply post with some facts about what was discussed. I need to reply to one classmate's discussion: Enlightenment ideals are still relevant as a guiding force in current American society. An example of, Enlightenment political ideal is republicanism as a kind of government. Marked by the separation of legislative, executive, and judicial powers, by competitive elections, and by the rule of law, republicanism is nowadays largely identified with being a liberal democracy, power of the people. Republicanism has shown to be very successful worldwide. While there were only three partial or restricted democracies in the late eighteenth century which were the United States, the French Republic, and Switzerland. This form of government has undeniably gained ground since then. Enlightenment proposals regarding the general structure of global relations have been approved, at least in principle even after some serious difficulties. We now have a global organization, the United Nations, as a federation of 192 countries whose purpose is to establish a nonviolent international order. It stipulates that nations cooperate in solving international economic, social, cultural, and humanitarian problems and promote respect for human rights and fundamental freedoms.