Simple way to understand it, and it's fine for simple problems, if I had an asteroidįor instance, of mass m, out in outer space so there's Second Law is F equals MA, which is fine, it's a Scenario you're faced with you can apply this law in a correct way. To provide you with here, so that no matter what Sophisticated understanding of Newton's Second Law. Newton's Second Law problem, you're gonna need a If you're face to face with a sophisticated The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power popular references in literature, plays, musicals, songs, stamps and cartoons abound. The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but n-dimensional solids. They are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. The theorem has been given numerous proofs – possibly the most for any mathematical theorem. Mesopotamian, Indian and Chinese mathematicians all discovered the theorem independently and, in some cases, provided proofs for special cases. There is some evidence that Babylonian mathematicians understood the formula, although little of it indicates an application within a mathematical framework. 495 BC) as it is he who, by tradition, is credited with its first recorded proof. Where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides.Īlthough it is often argued that knowledge of the theorem predates him, the theorem is named after the ancient Greek mathematician Pythagoras (c. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a relation in Euclidean geometry among the three sides of a right triangle. Even when the meteor moves away from earth after third rocket, the force of earth's gravity continues to act on it. Net force on the meteor becomes 100 - 3*50= - 50 in the opposite direction from earth, and the meteor first starts to slow down from 1750, then stop completely, and eventually start moving in the opposite direction.įrom first rocket onwards there are allways 2 or more forces acted on the meteor. Since net force is 0, meteor stops accelerating but it continues with a constant velocity of 1750 towards earth. Now net force on meteor is 100-50*2= 0 N. When meteor's velocity reaches 1750, we send a second rocket pulling the meteor with the same 50 N. The net force on meteor is 100-50=50 N towards the earth and it still accelerates but now its acceleration decreases to 5 km/h^2. Now there is two forces acting on meteor at the same time. The rocket starts pulling the meteor in the opposite direction with 50 N. When meteor's velocity reaches 1500 km/h, we send a rocket to save the earth. Now there is only one force acted on meteor. As it enters the gravity field of Earth, earth will start pulling the meteor with a constant force of 100 N resulting in 10 km/h^2 constant acceleration. Suppose there is a meteor traveling with a constant velocity of 1000 km/h and there is no force acted on it.
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