![]() ![]() How would g change if the mass of the Earth were quadrupled? How would FGravitychange? Hint: Rather than plugging in numbers think in terms of ratios. Does your valuematch if you include the uncertainty? (2 pts)12. Quantitatively compare this value to the current best estimate for the Earth's mass(also in Appendix A of the text). Using the radius of the Earth found in Appendix A of your text calculate the (3 pts) Mass of the Earth using your best value of g as measured in this lab.ġ1. In this rewording R = D because our distance from the center of mass of the Earth is the radius of the Earth.10. Physicists have discovered that the acceleration due to gravity on a planet's surface is related to the planet's mass and radius: Here g = FGravity / m i.e., the gravitational acceleration at the surface of the Earth is the gravitational force on an object divided by the mass of the object. State your conclusions and relate them to your hypotheses. Are these errors a reasonable amount to account for your spread inmeasurements of t? In this lab you might be tempted to blame some of your uncertaintyon \human error\".Please be more specific and keep in mind that you need to be able to quantify all sources ofuncertainty. Identify all sources of error and estimate how much they could have effected yourmeasurement of t. Quantitatively compare your value for g to the current best estimate for the Earth'sacceleration due to gravity.Consider your uncertainty when making the comparison. What is your measured value of g? (Be sure to include units AND your uncertainty whenwriting this.) (3 pts)Analysis6. For this you will need the following relation (Galileo derived this empirically and Newton derived it from the calculus) Where h is the height of the fall and t is the average time of fall. Use these uncertainties to estimate the biggest and smallest possible values you could get for g:This gives you the range of values of g that are allowed within your uncertainty.5. What is your measured value of t? (Be sure to Include units AND your uncertainty whenwriting this.) ( 3 pts) Use your average value of t to calculate the Earth's acceleration due to gravity. ![]() Use your spread in values of t to estimate your random uncertainty:4. Fill in the table on page 2 with your data. Distance in meters: (1 pt) Time the object's fall at least 20 times.3. One or two stories high is a good compromise. Measure the distance the object will fall in meters.2. Drop from a height that is high enough to minimize the relative fraction of time it takes to start and stop the Stopwatch but not so high that air resistance starts to affect the result (ie- the object should not achieve terminal velocity). (2 pts)Materials: Golf ball Stop watch with 1/100 of a second precision String and rulers to measure heightProcedure
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