### Abstract

The present study was designed to introduce momentum, impulse and kinetic energy of motion into growth mechanics in order to construct corresponding items hypothetically. The results obtained were as follows. Growth mechanics versions of momentum, impulse and kinetic energy were constructed according to definitions in motion. Growth mechanics versions of three items might look like those of motion in the form of equations. This was due probably to the resemblance between equation of growth force and Newton's equation of motion. However, coefficients of equations were different between growth mechanics and Newtonian mechanics. This difference was probably caused by symmetric properties of exponential function with base e in both differential and integral that relate coefficients to exponents. The way of construction and interpretation of growth mechanics versions of momentum, impulse and kinetic energy should be investigated further.

Original language | English |
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Pages (from-to) | 73-75 |

Number of pages | 3 |

Journal | Journal of the Faculty of Agriculture, Kyushu University |

Volume | 52 |

Issue number | 1 |

Publication status | Published - Feb 2007 |

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### All Science Journal Classification (ASJC) codes

- Agricultural and Biological Sciences (miscellaneous)

### Cite this

**Introducing viewpoints of mechanics into basic growth analysis - (IV) Hypothetic aspects of growth mechanics compared with momentum, impulse and kinetic energy in motion.** / Shimojo, Masataka.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Introducing viewpoints of mechanics into basic growth analysis - (IV) Hypothetic aspects of growth mechanics compared with momentum, impulse and kinetic energy in motion

AU - Shimojo, Masataka

PY - 2007/2

Y1 - 2007/2

N2 - The present study was designed to introduce momentum, impulse and kinetic energy of motion into growth mechanics in order to construct corresponding items hypothetically. The results obtained were as follows. Growth mechanics versions of momentum, impulse and kinetic energy were constructed according to definitions in motion. Growth mechanics versions of three items might look like those of motion in the form of equations. This was due probably to the resemblance between equation of growth force and Newton's equation of motion. However, coefficients of equations were different between growth mechanics and Newtonian mechanics. This difference was probably caused by symmetric properties of exponential function with base e in both differential and integral that relate coefficients to exponents. The way of construction and interpretation of growth mechanics versions of momentum, impulse and kinetic energy should be investigated further.

AB - The present study was designed to introduce momentum, impulse and kinetic energy of motion into growth mechanics in order to construct corresponding items hypothetically. The results obtained were as follows. Growth mechanics versions of momentum, impulse and kinetic energy were constructed according to definitions in motion. Growth mechanics versions of three items might look like those of motion in the form of equations. This was due probably to the resemblance between equation of growth force and Newton's equation of motion. However, coefficients of equations were different between growth mechanics and Newtonian mechanics. This difference was probably caused by symmetric properties of exponential function with base e in both differential and integral that relate coefficients to exponents. The way of construction and interpretation of growth mechanics versions of momentum, impulse and kinetic energy should be investigated further.

UR - http://www.scopus.com/inward/record.url?scp=33947716881&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947716881&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33947716881

VL - 52

SP - 73

EP - 75

JO - Journal of the Faculty of Agriculture, Kyushu University

JF - Journal of the Faculty of Agriculture, Kyushu University

SN - 0023-6152

IS - 1

ER -