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Chapter 9

線形運動量、衝撃、衝突

Chapter 9

Linear Momentum, Impulse and Collisions

The term momentum is used in various ways in everyday language, most of which are consistent with the precise scientific definition. Generally, momentum …
Force and momentum are intimately related. Force acting over time can change momentum, and Newton's second law of motion can be stated in its most …
According to Newton’s second law of motion, the rate of change of the momentum of an object is the net external force acting on it. The total change …
The total change in the motion of an object is proportional to the total force vector acting on it and the time over which it acts. This product is called …
The total momentum of a system consisting of N interacting objects is constant in time or is conserved. A system must meet two requirements for its …
Solving problems using the conservation of momentum requires four basic steps: Identify a closed system, where the total mass is constant, and no net …
When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a …
When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the …
An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the …
Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions …
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each …
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should …
Any object that obeys Newton's second law of motion is made up of a large number of infinitesimally small particles. Objects in motion can be as …
The center of mass of an object is defined as the mass-weighted average position of all the particles that comprise the object. The significance of the …
The driving force for the motion of any vehicle is friction, but in the case of rocket propulsion in space, the friction force is not present. The motion …
The motion of a rocket is governed by the conservation of momentum principle. A rocket's momentum changes by the same amount (with the opposite sign) …
Rockets range in size from small fireworks that ordinary people use to the enormous Saturn V that once propelled massive payloads toward the Moon. The …
A rocket's velocity in the presence of a gravitational field is decreased by the amount of force exerted by Earth's gravitational field, which …
Consider a system comprising several point masses. The coordinates of the center of mass for this system can be expressed as the summation of the product …
The Discrete Element Method is used for the simulation of particulate systems to describe and analyze them, to predict and afterwards optimize their …
Miniaturized spacecraft and satellites require smart, highly efficient and durable low-thrust thrusters, capable of extended, reliable operation without …
Applied-field magnetoplasmadynamic thrusters (AF-MPD thrusters) are hybrid accelerators in which electromagnetic and gas dynamic processes accelerate …