Directions: Solve the following problems and show your complete solutions. 2. The international Space Station orbits the Earth at an altitude of about 340 km. How long does it take to comple one orbit? A. 0.069 days B. 1.28 days C. 0.53 days D. 2.48 days
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- 1. If people on Earth were viewing a total lunar eclipse, what would you see from your home on the Moon? Draw a diagram. 2. Why were the main reasons why the idea that the Earth was at the center of the universe lasted so long? 3. Discuss in 2 paragraphs the observations made by Galileo that disproved Geocentrism. Which one do you think was the most important? 4. Write down a hypothesis and observational experiment to test one of Newton’s laws of motion. EXPLAIN YOUR REASONING! 5. One of the first exoplanets discovered orbits the star 51 Pegasi with a period of just 4.2 days. 51 Pegasi is very similar to the Sun. Use Kepler’s laws to find the distance (in astronomical units) between the planet (unofficially named Bellerophon) and its star. SHOW YOUR WORK! 6. How does halving the distance between two objects affect the gravitational force between them? 7. Suppose the Sun were somehow replaced by a star with five times as much mass. What would happen to the gravitational force between…1. A sports car speeds up from 4.4 meters per second to 22.8 meter per second and travels a distance if 76.7 m, what is its acceleration (in meters per second squared)? Show your solution. 2. A fanthom is a unit of length equal to 6 ft and used to measure the depth of water. If a river is 10,741m deep, what is the depths in fanthoms. (Assume 3.28 ft is 1meter) show your solution.Please answer the question and its subquestions entirely! This is one question with two subquestions. According to the official Bartleby guidelines, I am alowed to have up to two subquestion! 1) When an ice-skater spins and increases her rotation rate by pulling her arms and leg in, what happens to her kinetic energy? It stays the same. It increases. It decreases. a) A 0.400 kg mass, sitting on a horizontal frictionless surface, is attached to the end of a 0.750 m string. It is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum velocity can the mass have if the string is not to break? 375 m/s 22.4 m/s 19.4 m/s 29.0 m/s b) A grinding wheel with a moment of inertia of 2 kg-m 2 has a 2.50 N-m torque applied to it. What is its final kinetic energy 10 seconds after starting from rest? 312 J 237 J 156 J 106 J
- Please explain in full detail as I am trying to understand this concept! thank you! a. Sketch a diagram including Earth, Sun, and Mars, with attention to scale of distance (Mars is about 1.5 AU from the Sun) showing a faster trajectory from Earth to Mars than the minimal energy trajectory discussed in the lecture. b. Without doing a calculation, how would the arrival velocity of the spacecraft at Mars for the case in (a) compare to the spacecraft arrival in the class example? The lecture example had the spacecraft arriving at Mars with a velocity of 22.49 km/sec. c. The average velocity of Mars in orbit around the Sun is 24.08 km/sec. Comment on the trade-offs between trajectories, arrival velocities and velocity changes (delta V) required to enter an orbit around Mars.Directions: Be able to draw/illustrate the given problems and show pertinent solutions. 1. Ellipse (Astronomy): Problem: The moon orbits the Earth in an elliptical path. If the average distance from the moon to the Earth's center is 384,400 kilometers, what is the eccentricity of the moon's orbit?State the definition for a parsec, and derive its value in terms of As- tronomical Units. Convert your answer for the value of the distance of a parsec in Astronomical Units into light years. Be sure to include a large and clearly labeled diagram showing how you arrived at your conclusions. Be sure to show all work!
- Please answer the question and subquestions completely! This is one whole question which has subquestions! According to the official Bartleby guidelines, each question can have up to two subquestions! Thank you! 1) A missile is launched upward with a speed that is half the escape speed. What height (in radii of Earth) will it reach? R/4 R/3 R/2 R 2R A) The weight of a 0.60 kg object at the surface of Planet V is 20 N. The radius of the planet is 4 x 10 6 m. Find the gravitational acceleration at a distance of 2 x 10 6 m from the surface of this planet. 8.9 m/s2 11 m/s2 13 m/s2 18 m/s2 B) Two masses are precisely 1 m apart from each other. The gravitational force each exerts on the other is exactly 1 N. If the masses are identical, what is each mass? 1.22 x 105 kg 1.34 x 1010 kg 2.50 x 105 kg 1.58 x 1010 kgHey, could I get help with these questions please? 2. Earth is a spherical body, of radius 6,376km, which completes a full rotation about its axis in 24h. How long (in hours) should the day on Earth be so that a person at the equator is able to float freely above the ground? 3.Three lead spheres, of mass 10kg each, are located at three corners of a square of side length 45cm, (figure uploaded below). A bead is released at the forth corner. By considering the gravitational forces among the four objects only, determine the magnitude and direction of the acceleration of the bead when released.Complete any four from below. Must show all steps used to get your final answer. 3. Given a speed of 90 kilometers/hour, convert the speed to miles per hour
- Please answer the questions which match to specific points in the derivation. 4. Explain in words what the blue substitution means, and why we can make it. 5. Please write out what each of the variables (ignore 4 and pi) in this final formula stands for in terms of an object ‘m’ orbiting another object ‘M’.The speed of light is approximately 3×10⁸ meters per second. If it takes 5×10² seconds for light to travel from the sun to the earth, what is the distance between the sun and the earth? Questions: 1. How did you solve the given problem 2. What concepts have you applied? 3. How did you apply your knowledge of the laws of integral exponents in answering the given problem?Using Kepler's 3rd law solve the following problem. Show your work and highlight your answer. In a distant star system there are many inhabitable planets. One of these planets is named Qomar. Qomar is 3.2 AU's from its star and takes 6.5 Earth years to go around its star once. There is another planet in the same star system called Ferenginar. Ferenginar is 0.9 AUs from the star. What is the length of a Ferengi year (on Ferenginar) in terms of Earth years?