Part 2: Newton's Proof Newton hypothesized that all objects are attracted to all other objects with a force that obeys an inverse square law: F GMm or similarly, that g = = GM %3D %3D By using the motion of the moon and the method you just learned, he produced evidence support his theory. Complete the simplified version of his proof outlined below. to Step 1: Newton knew that the moon has an orbital period of 27.3 days, and that it moves around the earth in a roughly circular path with a radius of 3.8 x 108 m. Use the kinematics equations to calculate a, of the moon. Step 2: Newton knew that the center-to-center distance from the earth to the moon equaled 60 earth radii. Use the method from the previous page and the value of little g to compute the acceleration of the moon in its orbit, gMoon Step 3: Compare: Does Newton's gravity equation predict a gMoon in step 2 equal to the centripetal acceleration computed from kinematics in step 1? If your answers from steps 1 and 2 above differ, go back and check your work. Critical Thinking Question: The acceleration of falling bodies on the moon is 1.6 m/ s2. Does this equal your calculated value for gMoon? Why or why not? 202

Part 2: Newton's Proof Newton hypothesized that all objects are attracted to all other objects with a force that obeys an inverse square law: F GMm or similarly, that g = = GM %3D %3D By using the motion of the moon and the method you just learned, he produced evidence support his theory. Complete the simplified version of his proof outlined below. to Step 1: Newton knew that the moon has an orbital period of 27.3 days, and that it moves around the earth in a roughly circular path with a radius of 3.8 x 108 m. Use the kinematics equations to calculate a, of the moon. Step 2: Newton knew that the center-to-center distance from the earth to the moon equaled 60 earth radii. Use the method from the previous page and the value of little g to compute the acceleration of the moon in its orbit, gMoon Step 3: Compare: Does Newton's gravity equation predict a gMoon in step 2 equal to the centripetal acceleration computed from kinematics in step 1? If your answers from steps 1 and 2 above differ, go back and check your work. Critical Thinking Question: The acceleration of falling bodies on the moon is 1.6 m/ s2. Does this equal your calculated value for gMoon? Why or why not? 202

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Activity A. What am I? Directions: Identify what is being described by the following statements. Select the correct answer from the words inside the box. Projectile Motion Maximum Range Uniform Circular Motion Centripetal Acceleration Tangential Velocity Projectile Zero Trajectory Constant Period 1. Objects thrown into the air which follow a curved path and are influences by gravity 2. It is a combination of free fall and horizontal motions which are independent of each other 3. The curved path done by the projectile 4. It is a motion in circle at constant speed. 5. The time needed by an object in uniform circular motion to complete an orbit. 6. The horizontal velocity when it reaches the highest peak of trajectory. 7. The vertical acceleration of an object in projectile 8. It can be obtain when the projectile is projected at 45° angle neglecting the air resistance. 9. This is when the acceleration is always directed radially inward to the center of curvature. 10. It is when the…
Gravitation Q1: Please answer all parts and explain all reasonings for each step (even if minor)
1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular path in a horizontal plane as illustrated in Figure 1. At point P, the string suddenly breaks near the ball. If these events are observed from directly above, which of the 1-5 paths below would the ball most closely follow after the string breaks. Explain your answer. Figure 1. Jun Matsumoto holds a string wherein a steel ball is attached to a string and is swung in a circular path in a horizontal plane
the Correct answer and write the answer in your answer sheet (Page 2): 1. In a two dimensional graph, x axis is used to plot A) Independent variable B) Dependent variable C) Constant D) None of the above 2. In a "freely falling object" experiment, you calculated the value of gravitational acceleration as 10.2 m/see.The accepted value of g is 9.8 m/see. The percentage error in the experiment will be A) -0.041% B) 0.041% C) -4.1% D) 4.1%
Can you please answer this question and show the steps
Gravitation Q2: Please answer all parts and explain all reasonings for each step (even if minor)
This is Newtonian physics, please help me to solve this, also provide illustration/diagram for me to visualize. Thank you
I don't know how to solve #3 #1 Orbital DynamicsSuppose a satellite is in orbit about the Earth at a height of 2500 km above the surface of the Earth. If the radius of the Earth is 6370 km, what is the radius of the satellite’s orbit? Recall that r = RE + H. #2 Orbital Dynamics In #1, what is the period of the satellite’s orbit in hours? It may be helpful to remember that G = 6.67 × 10^−11 kg−1m^s^−2, while mass of Earth = 5.96 × 10^24 kg. #3 Orbital DynamicsIn #1, what is the magnitude of the force of gravity if the satellite has a mass of 550 kg? A. 0.00 N B. 1,920 N C. 2,780 N D. 3,610 N
question 2a please
A planet � moves in a circular orbit around a Star named planet of mass �! =2.7 × 10"# kg as shown in figure 2. The period of the orbit is 14 days. Derive a suitable mathematical formula to calculate the radius of the orbit.
Please Include all calculations and derivations and step by step solution.
Hey, 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.