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The weight of an object is the same on two different planets. The mass of planet $\mathrm{A}$ is only sixty percent that of planet $\mathrm{B}$ . Find the ratio $r_{N} / r_{\mathrm{B}}$ of the radii of the planets.

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0.77

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

University of Washington

Hope College

McMaster University

Lectures

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.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

04:11

The weight of an object is…

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we begin this question by noting that the weight off an object on the surface off Planet A is equal to the weight off that same object at the surface on the planet be therefore D A Times M is equals two g b times the same mass. M done by Simply find the masses. We get the following G eight Izzy Coaster G. We now remember that the surface gravity often object, is given by Newton's constant times. The mass off that object divided by the radio's squared off the subject. So this relation implies that G. Newton's constant times the mass off Planet A divided by the radios off Planet A squared is because to the new terms, constant times the mass off planet be divided by the radios off Planet B squared then as D is a constant, we can simplify it. So we got that. The mass of Planet A, divided by the radios off planet A squared is equal to the mass offline. It be divided by the radios off definitely squared. Then we can sand are a to the other side multiplying and n b to the other side dividing. So we got em a divided by m Be easy goes to our a squared divided by r B squared But we know this information. The mass off planet A is equals 262% The mass of planet be therefore M A divided by EMI is he goes to 0.6 so 0.6 is equals. Two are a divided by RV squared then the Rachel are a divided by r B is equal to the square it off 0.6, which is approximately 0.77.

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