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The acceleration due to gravity on the Moon is about one-sixth what it is on Earth. If an object is thrown verticallyupward on the Moon, how many times higher will it go thanit would on Earth, assuming the same initial velocity?

displacement increases by a factor of 6

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

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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.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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The acceleration due to gr…

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The severity of a fall dep…

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Motion on the moon The acc…

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How many times higher coul…

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The Moon The value of $g$ …

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Estimate how much farther …

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On the moon, the accelerat…

So here the, um the gravity on moon is only 1/6 the gravity on earth. So if we can save velocity, final squared equals velocity Initial squared plus two times g, the gravity on either planet, whatever it may be, ah times Delta. Why we can say that Delta y will then equal negative the initial squared divided by two G. And as you can see, um, the final velocity, of course, equals zero. Because at the peak, the peak of its height, any objects velocity is going to be equal to zero. And so we can say that Delta Y is gonna be inversely proportional to one over G. Uh, we can then set up an equation and say that, uh, if essentially dealt so why on earth divided by Delta Y on the moon, this will equal the gravity on the moon divided by the gravity on earth. This is gonna equal 1/6 the gravity on earth divided by the gravity on Earth. This will equal one over six. And as you can see here if we, um, solved for the, uh, delta Y on the moon, um, we can say that Well, let's start here Delta y on the moon will then be equal to six times the delta. Why on earth? So you basically have to set up an equation. Find the proportionality of the why, Max and gravity. And then you can set up an equation with gravity because we know that the velocity initial is going to be the same on both planetary bodies. So we can say that, um, if we just substitute in the gravity on the moon, which is again 1/6 gravity on earth and soul for the dealt and sulfur delta Y on the moon, we find that delta Y on the moon is six times delta y on earth. Therefore, the heights on the moon would be six times Ah, the height on Earth. So in this case, the maximum height increases by a factor of six because the gravity on the moon is decreased by a factor of six relative to the relative to the gravity on earth. The solution. Thank you for watching

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