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ssm The sun is more massive than the moon, but the sun is farther from the earth. Which one exerts a greater gravitational force on a person standing on the earth? Give your answer by determining the ratio $F_{\operatorname{sun}} / F_{\operatorname{mon}}$ of the magnitudes of the gravitational forces. Use the data on the inside of the front cover.

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178

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Simon Fraser University

Hope College

University of Winnipeg

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.

04:28

The sun is more massive th…

11:38

Compute the force of gravi…

01:21

Compare the magnitudes of …

02:08

The Sun and Earth each exe…

03:35

03:47

02:20

02:07

02:25

(a) What is the magnitude …

01:08

Which is larger, the gravi…

in this question, we have to couple into the following reshoot the magnitude of the gravitational force exerted on the earth by the sun, divided by the magnitude of the gravitational force exerted on the earth by the moon. Remember that the magnitude of the gravitational force is given by the Newtown constant times the mass off the object one in this case, the mass of the Sun Times the mass of the earth divided by the distance between the earth and the sun squared on the denominator. We have the magnitude off the gravitational force exerted by the moon. And this is given by the Newton constant times the mass off the moon times the mass off the earth divided by the distance between here and the moon squared So note that there will be a lot of simplifications here Nearly is equals to g times And as times m e divided by r. P s squared times r e m squared divided by G and m times m e. So these are simply fired and the masses off the earth are also simply fired. So we got r e m squared divided by R E s squared times m s divided by M m. As the result off the ratio between the magnitudes off the rotational forces. Then they plug in the values that were given by the problem we got the following the ratio is it goes to 3.85 time stand to eat, squared, divided by 1.5 I'm stand 11. It's weird times the mass off the sun 1.99 times 10 to the 30 divided by the mass of the moon 7.35 times Stand in the 22 and these givers approximately 170 feet. So the gravitational force exerted on the earth by the sun is 178 times bigger than the gravitational force exerted on the earth by the moon.

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