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ssm A bowling ball (mass $=7.2 \mathrm{kg},$ radius $=0.11 \mathrm{m} )$ and a billiard ball (mass $=0.38 \mathrm{kg},$ radius $=0.028 \mathrm{m}$ ) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?

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$9.6 \times 10^{-9} N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

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.

02:00

A bowling ball (mass $=7.2…

01:41

A bowling ball of mass M =…

00:35

A bowling ball (mass = 6.3…

01:50

Two 6.4 -kg bowling balls,…

02:12

Two bowling balls each hav…

01:01

Two spherical balls of mas…

08:45

A rack of seven spherical …

01:07

Estimate the gravitational…

04:42

Two uniform spherical ball…

This is the bowling ball and disease. The billiard ball, too. When is the magnitude of the gravitational force that one exert all the other one is maximum? Well knows the following the equation that he was. The magnitude of the reputation of attraction between these two bowls is the following. F G is equal to the noodles, constant times the mass off the bowling ball times the mass off the billiard ball divided by the distance between the their centers squared. So as the distance between their centers begun becomes smaller. So as we decrease r squared, we are increasing the force. So the situation when this force is the maximum possible is well, they are US clues as possible, which is this one. So this is the situation when the gravitational attraction between both of these balls is the maximum and in the situation, what is the distance between their centers? Well, note that these is the radio's off the bowling ball, and these is the radios off the billiard boat, so the distance between their centers is equals. Two. This some off the radios off this both off both of these two bowls, then the magnitude after reputation. Attraction between them is given by neuters constant G, which, if you forgot, is equal to 6.67 times. Stand to minus 11 new tones. Meters squared, divided by kilograms squared so 6.67 times stand. The line is 11 times the mass off the bowling ball, 7.2 kilograms stands the mask off the billiard boat, 0.38 kilograms, divided by the distance between their centers squared, which is 0.11 plus 0.0 28 squared. And this gives us a gravitational force off approximately 9.6 times, then to minus nine do teams. So this is the maximum gravitational force one Balkan dessert on the other one. So it is a very, very, very small force almost imperceptible for us.

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