Concept Drawing: Orbital motion and Gravity Use the image below as a starting point for your concept drawing of orbital motion and Newton's Universal Low of Gravitation.
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- The scientist Archimedes is famed to have once said “Give me a lever long enough and I’ll move the world”. Let us assume that Archimedes is approximately (60 kg) and the world has a mass of approximately (6×1024kg). If the fulcrum of our lever is (1 m) away from the Earth’s side, how long is our lever? (Assume that all of this takes place on an infinite plane with Earth surface gravity.) (Give your answer in units of the distance to the galaxy Andromeda which is 770 kpc away. You will need to convert from meters.)In the figure below, Planet X is moving in a perfectly circular orbit around its companion star.The time between each position shown is exactly one month: 1. Write down Kepler’s second Law of planetary motion.2. Does the planet obey Kepler’s second law? How do you know?3. If you carefully watched this planet during the entire orbit, would its speed be increasing, decreasing, orstaying the same? How do you know?How does gravity work, and what is its importance?
- Total Orbital Energy is the sum of Gravitational and Kinetic energy. How does the fact that the total orbital energy stays the same explain the stable motion of Earth around the Sun.Given the geometry shown in the picture, can you figure out where the planet is when it is moving the fastest and when it is moving the slowest? Explain your reasoning as clearly as you can.A trinary star system is a system of 3 stars. Imagine a point in such a system shown in the diagram below (Not drawn to scale). What is the gravitational acceleration g a this point? Include a direction as well relative to one of the stars, including right, left, above or below as needful. (Hint: consider that w = m0·g for an object of mass m0)
- Define the term Orbital Motion?Explain, according to both geocentric and heliocentric cosmologies, why we see retrograde motion of the planets.State and explain in 50 words possible applications of hyperbolic geometry EXCEPT of the following: - Geometry-based artwork - Neurological and biological studies - Promising model for social networks - Astronomy and cosmology - Illustrating Einstein’s theory of relativity
- 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.I hope you answer this:) 1. Ancient civilizations observed and kept track of daily movement of heavenly bodies. Which one is NOT the reason for this? a. navigation purposes b. time keeping c. annual cultural cycles d. agricultural cycles 2. What Kepler's Law of Planetary Motion is related to the Newton's Law of Motion based from the statement below: The statement: "Since the planets move on ellipses they are continually accelerating." a. Law of Ellipses and Law of Acceleration b. Law of Ellipses and Law of Inertia c. Law of Equal Areas and Law of Interaction d. Law of Period and Law of Inertia e. Law of Period and Law of Acceleration 3. Edwi Hubble proposed a way to organize galaxies in 1920. How are galaxies classified? a. color of stars b. shape of galaxy c. age of stars d. composition of stars e. diameter of galaxy 4. Find the magnifying power (M) and the length (L) of a simple telescope with 30-inches focal length of the objective and 2 inches focal length of the eyepiece.…Summarize two observations that are contrary to the predictions based on Newton’s laws but that confirm Einstein’s explanation of gravity. Indicate how the predictions based on Newton’s theory differ from Einstein’s.