Please help me with my homework on Physics Part AWhat would be the path of the Moon if somehow all gravitational forces on it vanished to zero?Essay answers are limited to about 500 words (3800 characters maximum, including spaces).3800 Character(s) remainingSubmit,Request AnswerProvide Feedoack,

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What would be the path of the Moon if somehow all gravitational forces on it vanished to zero?

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Introduction

Section: Chapter Questions

Problem 61AP: (a) How many seconds are there in a year? (b) If one micrometeorite (a sphere with a diameter on the...

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The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
(a) How many seconds are there in a year? (b) If one micrometeorite (a sphere with a diameter on the order of 106 m) struck each square meter of the Moon each second, estimate the number of years it would take to cover the Moon with micrometeorites to a depth of one meter. (Hint: Consider a cubic box, 1 m on aside, on the Moon, and find how long it would take to fill the box.)
A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm = 0.454 kg. What is the density of water in pound-mass per cubic foot?
The speeds of fast motion objects is sometimes measured by the speed of sound, called Mach. 1 Mach equals to 340.2 meters/second. If a meteorite flies by the Earth at a speed of 11.573 Mach, what is it measured in miles/hour? Enter your enter as pure number. Keep three decimal places.
You get lost and stop at a gas station to ask for directions. The attendant tells you that your destination is "about 1 mile down the road". You drive to your destination, but you notice that, according to your trip odometer, you have driven 1.9 miles. What was the % error in the attendant's distance estimate? ( Note: We will temporarily ignore the sign for error calculations. The correct answer for each calculation is an integerbetween 0 and 100, inclusive. Do NOT enter the percent sign (%) or a minus sign (-). )
Estimates and orders of magnitude: Four astronauts are in a spherical space station. (a) If, as is typical, cach of them breathes about 700 cm of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air? (c) With the diameter of the space station obtain from part (b), how long the air would last? (d) Suppose the space station can support 4 astronauts within the time interval obtain at part (c), how many astronauts will be required to stay in the space station for them to supply a decade worth of air to breathe?
The largest two digit hexadecimal number is Select one: O a. (FE)16 O b. (FF)16 Oc. (FD)16 O d. (EF)16
One cubic centimeter of a typical cumulus cloud contains 70 water drops, which have a typical radius of 10 um. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.1 km and radius 0.9 km? (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have? (a) Number i Units (b) Number Units (c) Number Units
A) Calculate the mass (in slugs) of a 100 pound rock on the Earth. B) What is the mass of the same rock if it were sitting on the moon? C) How much would this rock weigh (in pounds) on the moon, assuming that gmoon = 5.3 ft/sec2?
The diameter of the spherical particle is (1.900x10^0) fm, and the mass is (2.51x10^-27) kg. Determine the density of this particle in kg/m3. Your numerical answer requires the correct number of significant digits.
Density Here is a simple problem. Then we'll do one that requires a little more thought. The shape of a city is roughly a circle with a radius of 5 miles. If the population density for the city is 10,000 people per square mile, what is the population of the city? 11111 Now here's a problem that will stretch your problem solving skills. This time the city is also in the shape of a circle, but the population density is higher towards the center of the city and lower towards the outskirts. The numbers in the diagram represent miles. The population density is 10,000 people per square mile in the inner circle. In the first ring out from the center the density is 8,000 people per square mile, the second ring out it's 6,000, in the third ring out it's 4,000 and in the largest ring it's only 2,000 people per square mile. Finally, here is a three dimensional problem. Density is defined as weight per unit of volume. So which weighs more, a ball of zinc with a radius of 3 cm, or a ball of…