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  2. May 23, 2024 · Use this to simplify the formula for work of gravity to, W = − ∫ t 1 t 2 G m M r 3 ( r e r ) ⋅ ( r ˙ e r + r θ ˙ e t ) d t = − ∫ t 1 t 2 G m M r 3 r r ˙ d t = G M m r ( t 2 ) − G M m r ( t 1 ) . {\displaystyle W=-\int _{t_{1}}^{t_{2}}{\frac {GmM}{r^{3}}}(r\mathbf {e} _{r})\cdot \left({\dot {r}}\mathbf {e} _{r}+r{\dot {\theta ...

  3. 1 day ago · In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.

  4. May 24, 2024 · To find the perimeter and area of this shape, you will need the length of one side ( a ). Perimeter = 8a. Area = ( 2 + 2√2 )a2. Cite this Article. Learn how to calculate the surface area, volume, and perimeter for shapes, including cylinders, cones, pyramids, polygons, circles, and more.

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  5. 3 days ago · The formula is as follows: c = a 2 + b 2 - 2ab cos C. When should the cosine rule be used? You know the lengths of the two sides of a triangle and the included angle. You can then work out the length of the remaining side using the cosine rule. You know the lengths of all the sides but none of the angles.

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  6. May 15, 2024 · The formula to find the work done by a particular force on an object is W equals F d cosine theta. W refers to the work done by the force F. In other words, W is telling you the amount of energy that the force F is giving to the object.

  7. May 3, 2024 · Table of Content. Work Done in Physics. Work Done by a Constant Force. Formula for Work Done. Unit of Work. Factors Affecting Work. Types of Work Done. Work Done in Physics. Work is the physical quantity that happens when a force causes an item to move or be displaced.

  8. 2 days ago · In algebra, a cubic equation in one variable is an equation of the form + + + = in which a is nonzero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation.

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