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A space traveler weighs 540.0 N on earth. What will the traveler weigh on another planet whose radius is twice that of earth and whose mass is three times that of earth?
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Physics 101 Mechanics
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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.
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.
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we begin this question by can't leading the acceleration of gravity on the surface off these other planet. So remember that the surface gravity off any planet is it goes to Newton's constant times. The mass off the planet divided by the radios, squared off this planet. So for planet earth, we have a gravitational acceleration that is given by G m. E, divided by the radios off the earth squared for the other planet we have the following It is it goes to g times the mass off the other planet divided by the radios off this other planet squared. But the mass off the other planet is because to three times the mass off the earth and at the same time the radios off this other planet is it goes to two times the radios off the earth. So we have two times r e squared here and this gives us g times m e divided by r e squared times three divided by four. And this is nothing else than the surface gravity off the Earth Time Street, divided by four. Therefore, exploration off the gravity on the surface off this other planet is equals to 3/4 Deceleration off gravity on the surface off your now we proceed to couple eating. What is the weight off? That's place traveller on the surface off these other planet. Remember that the weight force is given by the mass times acceleration off gravity The reform The mass off this place traveller on the earth is equals to the mass off the space traveler which is a known times next relation off the gravity on the surface of the earth. At the same time, the weight off the space traveler on the surface off this other planet is equals to the mass off the space traveler times acceleration off gravity on the surface off this other planet. But as we have calculated, the acceleration of gravity on the surface off the other planet is equals to 3/4 explanation of gravity on the surface of the earth. So these is equal to the mass off the astronaut times 3/4 crimes the gravity on the surface off the earth and this is equals 234 times the mass times the gravity from the earth. And this is nothing else than the weight off the space traveler on the Earth before the weight off the space traveler on these other planet is, he goes to 3/4 times the weight off this space traveler on the Earth, which is equals to 540 new terms. So we have 3/4 off, 540 which is equals to 405 new terms. So the weight off the space travel on the surface off these other planet is equals to 405 new towns.
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