21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 4, Problem 40QP
To determine
The value of
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Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± (delta)g for this fit-parameter value.
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Use G = 6.67 x 10-11 N-m2/kg2.
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Chapter 4 Solutions
21st Century Astronomy
Ch. 4.1 - Prob. 4.1ACYUCh. 4.1 - Prob. 4.1BCYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4.4 - Prob. 4.4CYUCh. 4 - Prob. 1QPCh. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QP
Ch. 4 - Prob. 6QPCh. 4 - Prob. 7QPCh. 4 - Prob. 8QPCh. 4 - Prob. 9QPCh. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Prob. 13QPCh. 4 - Prob. 14QPCh. 4 - Prob. 15QPCh. 4 - Prob. 16QPCh. 4 - Prob. 17QPCh. 4 - Prob. 18QPCh. 4 - Prob. 19QPCh. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Prob. 22QPCh. 4 - Prob. 23QPCh. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Prob. 28QPCh. 4 - Prob. 29QPCh. 4 - Prob. 30QPCh. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Prob. 33QPCh. 4 - Prob. 34QPCh. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Prob. 38QPCh. 4 - Prob. 39QPCh. 4 - Prob. 40QPCh. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QP
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- The International Space Station (ISS) orbits the Earth once every 7.34 hours. If the radius of the Earth is 3,958.8 miles and the mass of earth is 5.972 x 10 24 kg, calculate the altitude of the ISS above the surface of the Earth, in miles. Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Keep at least on digit after the decimal point.arrow_forwardThe value of Gme/re2, where me is the mass of the earth, re is the radius of the earth, and G is the universal gravitational constant is (enter your answer with three significant figures)arrow_forwardConvert 9.021 x 1048 kg to Jupiter Masses (MJ). The mass of Jupiter is known as MJ = 1.898×1027 kg. Mplanet = _________________________ MJ ***The accepted mass of this planet HD 209458b is Mplanet = 0.69 MJ. Check your answer for correctness.arrow_forward
- Many people mistakenly believe that the astronauts who orbit Earth are "above gravity." Earth's mass is 6×1024kg , and its radius is 6.38×106m (6380 km ). Use the inverse-square law to find a height above Earth's surface at that the force of gravity on a shuttle is about 94% that at Earth's surface. Express your answer to two significant figures and include the appropriate units.arrow_forwardSuppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± dg for this fit-parameter value.arrow_forwardCompare the masses of the Sun (1.99×10° kg) and Earth (5.98×10* kg).arrow_forward
- You can invent your own measured values or just use the d, t, and theta to derive an equation for gravity.arrow_forwardMany people mistakenly believe that the astronauts who orbit earth are "above gravity." earth's mass is 6*10^24 kg, and its radius is 6.38*10^6 m (6380 km). use the inverse-square law to find a height above earth's surface at that the force gravity on a shuffle is about 99% that at earth's surface.arrow_forwarda) What is the semimajor axis of the spacecraft’s elliptical orbit around the Sun (in AU)? Hint: The semimajor axis of Earth’s orbit is 1 AU and the semimajor axis of Mars’ orbitis 1.52 AU. Consider the diagram above and assume for simplicity that the orbits of Earth and Mars are circular. b) What would be the period of the spacecraft’s orbit around the Sun (in Earth years)? c) Assuming that the spacecraft’s launch is timed properly to arrive at Mars, what is the time required (in days) for the spacecraft to reach Mars from Earth?arrow_forward
- We would like to be able to make meaningful interpretations of variations in the acceleration due to gravity, g, as small as 0.1 mgal. How accurate must our knowledge of the latitude of our gravity stations be? (A “gravity station" is just a location at which you make a gravity measurement.) You can assume your latitude is 45°.arrow_forwardConvert 1.39 x 10^9 kilograms to Jupiter Masses, MJ. The mass of Jupiter is known as MJ = 1.898×1027 kg. Mplanet = _________________________ MJ *The accepted mass of this planet HD 209458b is Mplanet = 0.69 MJ. Check your answer for correctness.arrow_forwardHow do you figure this out??arrow_forward
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