Part B) Understand how the force of gravity depends on the distance between the objects. (4 points) Let's use you and Earth as the two objects. We already know the force of gravity between you and Earth as you calculated it in Part A. What would happen to this value if you increased the distance between you and Earth (r value in the equation)? In other words, would you expect a larger value or a smaller value if you were at a higher altitude? (Would you weigh more or less?). Explain your answer in detail. (It's not necessary to use math, but if you prefer using math, that's ok) Write your answer in the worksheet. References: Include references in the worksheet. These are the sources for mass of Earth nd the radius of Earth.(1 point) 2/2 Exploration Activity 2 7 Understanding Force of Gravity Read instructions carefully. Provide your answers in the attached worksheet. Upload the completed worksheet on or before the due date. Before starting the activity, read Chapter 2 pages 72-75 and lecture PowerPoint slides. Objectives: 1) Calculate the force of gravity between you and Earth. 2) Understand how the force of gravity depends on the distance between the objects. Procedure: Part A) Calculating the force of gravity between you and the Earth. (15 points total) 1. Measure your weight. You can measure the weight using a bathroom scale, or use the approximate value. Enter this value in Table A in the worksheet. In order to calculate the force of gravity between you and Earth, we need to know your mass. See PowerPoint slides to understand the difference between weight and mass. If the scale shows the value in pounds (lb), that is your weight. If the scale shows the value in kilograms (kg) then it is your mass. If you know your weight in pounds, multiply it by 0.4536 to find your mass in kilograms. (The conversion is 1 pound = 0.4536 kg) Now enter your mass in kilograms in the appropriate box in Table A in the worksheet. (5 points) 2. Now, calculate the force of gravity between you and Earth using the equation given on page 74 in the textbook. G is called the universal gravitational constant and is equal to 6.8 x 10'\" m3 kg"s'2. M and m are the masses ofthe two objects. In this activity M is the mass of Earth, and m is the mass of you. The distance between you and Earth is r and here it is the radius of Earth (distance from the center of the Earth to you). Do a web search and find the earth's mass in kilograms and radius in meters. Enter these values in Table A. Remember to write down the websites used in the \"References 'Section. First, multiply G, M and m together. Then square the r value. Then divide (GMM) by r2. This gives the force of gravity between you and Earth. The answer is in newtons, that is SI (Standard International) units of force. Enter your answer in the appropriate box in Table A in the worksheet. (5 points) . The force of gravity between you and Earth is how hard Earth pulls you. This is also known as your weight. In other words, what you calculate in step 2 is your weight in Newtons. Now, let's see if the force of gravity value you got in the above step is actually equal to your weight. You already know your weight in pounds. To compare two values, they must be in the same units. Therefore, convert the force of gravity from newtons to pounds. Use the conversion 1 newton = 0225 pounds. Enter the force of gravity value in pounds in Table A. Is the force of gravity between you and Earth equal to your weight? They may not be identical because of experimental errors, but should be close. Use the following equation to see how close the two values are. Your answer is a percentage. If the answer is negative, ignore the negative sign and use the positive answer. In theory, this percentage should be less than 10%. Then we can say that the force of gravity between you and Earth is equal to your weight. (4 points) Is the force of gravity between you and Earth equal to your weight? If the percent error is equal to or less than 10%, the force of gravity between you and Earth and your weight are equal within the margin of error. Enter the answer in Table A. In theory, they should be. If not, it can be due to mathematical errors or measurement errors. In that case, you must measure your weight again, and check your math for accuracy. (1 point) Exploration Activity 2 - Worksheet Part A) Calculating the force of gravity between you and the Earth. (15 points total) Table A: Your weight in pounds (2 pts) Your mass (m) in kilograms (3 pts) Mass of Earth (M) in kilograms (1 pt) Radius of Earth (r) in meters (1 Pt) Force of gravity calculated using the equation (in newtons (2 1m) Force of gravity in pounds (1 Pt) Percent Error (4 pts} Is the force of gravity between you and Earth equal to your weight? (1 pt) Part B) Understand how the force of gravity depends on the distance between the objects. (4 points) Let's use you and Earth as the two objects. We already know the force of gravity between you and Earth as you calculated it in Part A. What would happen to this value if you increase the distance between you and Earth (r value in the equation)? In other words, would you expect a larger value or a smaller value if you were at a higher altitude? (Would you weigh more or less?). Explain your answer in detail. (It's not necessary to use math, but if you prefer using math, that's ok) Write your answer below. References: Include references below. (1 point)