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  2. Classical central-force problem - Wikipedia

    en.wikipedia.org/wiki/Classical_central-force...

    In classical mechanics, the central-force problem is to determine the motion of a particle in a single central potential field.A central force is a force (possibly negative) that points from the particle directly towards a fixed point in space, the center, and whose magnitude only depends on the distance of the object to the center.

  3. Vector algebra relations - Wikipedia

    en.wikipedia.org/wiki/Vector_algebra_relations

    The following are important identities in vector algebra.Identities that only involve the magnitude of a vector ‖ ‖ and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.

  4. Magnitude (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Magnitude_(mathematics)

    In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering (or ranking) of the class of objects to which it belongs.

  5. Orders of magnitude (energy) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(energy)

    Seismic energy of a magnitude 11 earthquake on Earth (M 11) [224] 1.5×10 22 J: Total energy from the Sun that strikes the face of the Earth each day [189] [225] 1.94×10 22 J Impact event that formed the Siljan Ring, the largest impact structure in Europe [226] 2.4×10 22 J: Estimated energy contained in the world's coal reserves as of 2010 ...

  6. Euclidean vector - Wikipedia

    en.wikipedia.org/wiki/Euclidean_vector

    If the positive axis is also directed rightward, then F is represented by the vector 15 N, and if positive points leftward, then the vector for F is −15 N. In either case, the magnitude of the vector is 15 N. Likewise, the vector representation of a displacement Δs of 4 meters would be 4 m or −4 m, depending on its direction, and its ...

  7. Orders of magnitude (charge) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(charge)

    Typical alkaline AA battery is about 5000 C ≈ 1.4 A⋅h [12] 10 4 ~ 9.65 × 10 4 C: Charge on one mole of electrons (Faraday constant) [13] 10 5: 1.8 × 10 5 C: Automotive battery charge. 50Ah = 1.8 × 10 5 C: 10 6: mega-(MC) 10.72 × 10 6 C: Charge needed to produce 1 kg of aluminium from bauxite in an electrolytic cell [14] 10 7: 10 8: 5.9 ...

  8. Binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Binomial_coefficient

    If one denotes by F(i) the sequence of Fibonacci numbers, indexed so that F(0) = F(1) = 1, then the identity = ⌊ ⌋ = has the following combinatorial proof. [12] One may show by induction that F ( n ) counts the number of ways that a n × 1 strip of squares may be covered by 2 × 1 and 1 × 1 tiles.

  9. Orders of magnitude (force) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(force)

    16.5 kN The bite force of a 5.2 m (17 ft) saltwater crocodile [20] 18 kN The estimated bite force of a 6.1 m (20 ft) adult great white shark [21] 25 kN Approximate force applied by the motors of a Tesla Model S during maximal acceleration [22] 25.5 to 34.5 kN The estimated bite force of a large 6.7 m (22 ft) adult saltwater crocodile [23] 10 5 N