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On earth, two parts of a space probe weigh 11000 $\mathrm{N}$ and 3400 $\mathrm{N}$ . These parts are separated by a center-to-center distance of 12 $\mathrm{m}$ and may be treated as uniform spherical objects. Find the magnitude of the gravitational force that each part exerts on the other out in space, far from any other objects.

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$1.8 \times 10^{-7} N$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Kristel L.

March 21, 2021

The mass of a robot is 5450 kg. This robot weighs 3620 N more on planet A than it does on planet B. Both planets have the same radius of 1.33x10 7 m. What is the difference MA-MB in the masses of these planets?

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

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.

02:20

On earth, two parts of a s…

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Three uniform spheres each…

01:46

The gravitational force $F…

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Gravity The gravitational …

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Three uniform spheres of m…

02:23

Two spherical objects have…

Consider two spherical 8.0…

00:58

we begin discussion by completing the mass off each of this part's So we know that the weight force is given by W is he goes to the mass times the gravity in this case on earth and we know that the gravity on earth is it close to 9.8 meters per second squared. Then the weight force is equal to the mass times 9.8 meters per second squared. Now we can sew for the mass by sending these 9.8 to the other side to get that the mass is it goes to the weight divided by 9.8. Then we used his equation to couple into the wheat off both parts off this probe Number one and number two for the part number one we have m one is the question the wait number one which is 11 3 zeros, new toes divided by 9.8. No, for the other part, we have a mass m to that is it goes to 34 00 divided by 9.8. Now we have moved masses and one and then true. The next thing we have to do is calculate what is the gravitational attraction between both of these parts. How can you do that by remembering that the gravitational force is it goes to new toes, constant times the mass number one times the mass number two divided by the distance between the center's off Each of these masses squared. Then, by using the values that the problem give us, we have that the gravitational force is a coast to G times the mass number one, which is 11 000 divided by 9.8 times 34 00 divided by 9.8 and he's wolfing is divided by R Squared. For this question are squared. Is these 12 meters which is the distance between the center's off both parts, then 12 squared. Now remember that value off new toes constant is that close to 6.67 times 10 to minus 11 new toes times meter squared, divided by kilograms squared. Then the gravitational force is. It goes to 6.6 to 7 times 10 to minus 11 times 11 000 times 34 00 divided buying 12 squared times 9.8 squared And this gives us a gravitational force off approximately 1.8 time stand to minus seven new terms

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