Copy of Lab 6_ast101

Part A Kepler's Third "Law" states that the square of the orbital period of a planet (T) is proportional to the cube of the planet's average orbital radius (r), T² = kr³, where k is the proportionality constant connecting T2 and We can derive Kepler's Third "Law" and show that k = 4/Gmgun, where G is the universal gravitational constant and msun is the mass of the sun, by %3D preventing a global thermonuclear war before it ruins our day and then binge watching the first ten seasons of the Walking Dead on Netflix. setting the acceleration due to gravity at the surface of the planet equal to the acceleration due to gravity at the surface of the sun. O setting the mutual gravitational force between the planet and the sun, Gmplanetmsunr, equal to the centripetal force acting on the planet. O stealing Robert Hooke's undeveloped idea that the mutual attractive force between the planet and the sun is proportional to 1/2. convincing ourselves that planets in circular orbits are actually in…

q39

Can I please get some help with the key concepts and principles, please and thank you!

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4. A student feels a gravity force of 800 N from the Earth when they're sitting in this classroom. a. How big is the gravity force that the Earth feels because of the student? Explain. b. Two students discuss part a) Student 1: "The Earth is much heavier than the student, so its gravity must pull harder on the student than the student's gravity pulls on the Earth. The gravity force the Earth feels must be less than 800 N." Student 2: "That might be true, but I think that same 800 N would have less of an effect on the Earth than it would on a person. Using a = F/m, the acceleration the Earth feels might be very small from an 800 N force, because Earth is so heavy." Which of these students, if any, do you agree with? Justify your response with words and/or equations.

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Earth's equatorial radius is 6378 km. A spacecraft is in circular orbit 300 km above the equator. Part A If the spacecraft orbits every 90.5 minutes, what's its speed? Express your answer with the appropriate units. HA ? Value Units Submit Request Answer

Problem 09

question 2a please

1 Overview Ballistics is the science of projectile motion and impact, phenomena well described by Newtonian mechanics. The number of applications of this type of analysis is staggering, ranging from such mundane issues as automobile accident simulations and optimal golfing to the critical studies of missile defense and space exploration. Somewhat less dramatically, in this project we will use Newtonian mechanics to describe the flight of a sponge dart, light enough so that air resistance will play a critical role. 2 Experimental Data The data for this project was collected by firing sponge darts from a toy gun ($3.99, WalMart). The table below shows a set of measurements for distance traveled (by the projectile) versus angle of inclination of the gun, taking angles of inclination 5, 10, 15, . 85 degrees. The darts were fired from a height of . 18 meters. Angle of 5 Inclination Distance 10 15 20 25 30 35 40 45 4.37 5.23 6.95 7.84 8.17 8.69 8.81 8.99 8.95 Traveled Angle of Inclination…

Which of these is an example of high precision? a. An archer hits the bulls-eyeb. A student correctly calculates the acceleration due to gravity to be 9.8ms2c. An archer hits the same spot on the target three times in a rowd. A student tries to throw a pencil into the garbage can and makes it ine. A student correctly calculates the mass of an object to be 54kg

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q1

could you please answer

How do I answer section C

The planet in the orbit shown in the drawing obeys Kepler s 2nd Law. B During which part of the planet's orbit (A, B, C, or D) would the planet move with the greatest speed? Answer E if you think the planet travels with the same speed during ALL of the portions of the motion (A, B, C, and D). O A. A В. В O C. C D.D O E. E

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Figure 1 d, dz Satellite Moon Planet A human-made satellite was placed along a straight line between a distant planet and its single moon, as shown in the diagram above. The planet has a mass of 135 x 1024 kg. The satellite has a mass of 12 x 103 kg. The moon has a mass of 2.51 x 1024 kg. The distance from the center of the planet to the center of the moon is di = 57 x 10° meters (note that this is the same as 57 megameters or 57 Mm). The satellite was placed a distance d, from the center of the moon. The distance dz was chosen so that the gravitational force exerted on the satellite by the planet would be equal in magnitude to the magnitude of the gravitational force exerted on the satellite by the moon. Calculate the distance dz in units of megameters or Mm. [Hint: calculate the distance in units of meters and then divide by 10°. In other words, if you calculate the distance to be 3.14 x 107 meters, you should enter 31.4 as your answer.]

I Review Constants Two spherical objects have a combined mass of 190 kg . The gravitational attraction between them is 7.53x10-6 N when their centers are 15.0 cm аpart. What is the mass of the heavier object? Express your answer with the appropriate units. HẢ Value Units Submit Request Answer Part B What is the mass of the lighter object? Express your answer with the appropriate units. μΑ ? Valuo Unita

3. Which of the following works paved way to the formulation of Kepler's Laws of Planetary Motion? * O A Astronomical data on supernova and comet B. Extensive observation of motion of Mars and other planets C.Observations on stellar parallax using quadrants and sextants D. Solar system model that combines the idea of Ptolemy and Copernicus 4. Maria is holding a feather and a metal ball to be released at the same room without any air resistance. If Maria is a follower of boight in.

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Please solve This multiple choice questions correctly in 15 minutes

Part A Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.1x104 m/s when at a distance of 2.6x101 m from the center of the sun, what is its speed when at a distance of 4.0x1010 m. Express your answer in meters per second. Vo AEO v = m/s

What happens to the orbital velocity of an object revolving around Earth if we reduce its height to one-fourth of the original one? A. The magnitude of the orbital velocity will be quadrupled. B. The magnitude of the orbital velocity will be doubled. C. The magnitude of the orbital velocity will be reduced by a factor of 4. D. The magnitude of the orbital velocity will be halved. Determine the GPE of a 300kg-object that is 2700km above Jupiter. Mass of Jupiter = 1.898 × 10^27 kg and radius of Jupiter is 69,911 km. A. 3.25 x 10^11 J B. 4.11 x 10^13 J C. 5.23 x 10^11 J D. 1.41 x 10^13 J The handwriting or solutions please make it clear (readable) please thank you

In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours.  a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force.  b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid.  c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface.  d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity.  f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?