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(a) What is the magnitude of the gravitational force that the Earth exerts on the Moon? (b) What is the magnitude of the gravitational force that the Moon exerts on the Earth? See the inside front and back covers for necessary information.
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Physics 101 Mechanics
Chapter 4
Force and Newton's Laws of Motion
Motion Along a Straight Line
Motion in 2d or 3d
Newton's Laws of Motion
Applying Newton's Laws
University of Michigan - Ann Arbor
University of Washington
Simon Fraser University
University of Sheffield
Lectures
04:01
2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.
03:28
Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.
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silver per day we have. We're going to use Newton's universal law of gravitation and we have the force of the earth on the moon. This would be equal to the gravitational constant multiplied by the mass of the earth multiplied by the mass of the moon, divided by the distance between the center of the earth in the center of the moon quantity squared. This is gonna be equal to 6.67 times 10 to the negative 11th on Newton's meters squared, her kilograms squared. This would be multiplied by the mass of the earth at 5.97 times 10 to the 24th kilograms multiplied by 7.349 times 10 toothy, 22nd kilograms. Of course, all these values are tabulated and then, uh, the product of these three will be divided by 3.84 times 10 to the eighth meters quantity squared. And so we see that the force of the earth on the moon would be equal to 1.98 times 10 to the 20th Newtons and then for part B due to Newton's third Law. Ah, we can say that then the force of the earth on the moon would be equal to the force of the moon on the earth and the opposite direction equal in magnitude, but opposite in direction. And so we can say that then the force. If we considered the force on the Earth on the moon to be positive, we would say that the force of the moon on the earth would be equal to native 1.98 times 10 to the 20th Newtons. That is the end of the solution. Thank you for watching.
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