Um corpo é lançado obliquamente no vácuo com velocidade inicial de 100 m/s, numa direção que forma com a horizontal um ângulo x, tal que sen(x) = 0,8 e cos(x) = 0,6. Adotando g = 10m/s², determine:

a) Os módulos das componentes horizontal e vertical da velocidade no instante de lançamento;

b) O instante em que o corpo atinge o ponto mais alto da trajetória;

c) A altura máxima atingida pelo corpo;

d) O alcance do lançamento.

Fonte: (RAMALHO, NICOLAU E TOLEDO;Fundamentos da Física, Volume 1, 8ª edição, pp. 12 – 169, 2003).

Clique aqui para ver uma descrição do que é Lançamento Oblíquo no vácuo.

SYSTEM DYNAMIC Physics Kinematics Computational Modeling Simulation.

Physics

IACS Physics Wind Resistance Kinematics

IACS Physics Wind Resistance Kinematics

This system models the equation of motion of a projectile in the horizontal (x) and vertical (y) directions, with a linear drag force. The drag is quantified by a drag coefficient C, which can be set by means of a slider.
Note that the equation has been made non-dimensional by measuring time in units of v_0/g, and distance in units of v_0^2/g. In these units, the acceleration due to gravity is simply 1. Also the "seconds" in the time axis of the graphs really means the time units defined here. Also in these units the initial speed is simply 1. 
The inclination has been fixed at Pi/2. A later version will let this change with a slider.
One of the displays is y vs. x, which shows the trajectory of the projectile. 

Physics Mechanics Drag

This model keeps track of the formal development of Timescale calculus available at http://mds.marshall.edu/cgi/viewcontent.cgi?article=1036&context=etd&sei-redir=1&referer=http%3A%2F%2Fwww.google.com%2Furl%3Fsa%3Dt%26rct%3Dj%26q%3Dtime%2520scale%2520calculus%26source%3Dweb%26cd%3D8%26sqi%3D2%26ved%3D0CFgQFjAH%26url%3Dhttp%253A%252F%252Fmds.marshall.edu%252Fcgi%252Fviewcontent.cgi%253Farticle%253D1036%2526context%253Detd%26ei%3Dd5peUOTkOan2igLrqICoDQ%26usg%3DAFQjCNH3g65pFJ4LV38xiG7FIfRexA9uiA .

The idea is to use infinitesimals to extend Geometric and Grassmann Algebra to better flush out the details of the interpretation of an unbound vector as a "massless point at the point at infinity". Essentially, the Grassmann and Geomeric Algebra is being generalized to admit multiplication of vectors by infinitesimals, not just real numbers. Doing so allows one to define a concept of a point approaching infinity without having to use limits. This is a work in progress, and so some of the ideas in the above description will likely change as more is descovered as the research unfolds.

Mathematics Applied Mathematics Physics

IACS Physics Wind Resistance Kinematics

Physics

Simple example of a 1D falling object, comparing the use of direct equations, with "solving" the differential equation using flows (dQ/dt) and stocks (Q).

Physics

Kinematik

Physics Physik Schecker

IACS Physics Wind Resistance Kinematics

THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION

The existing global capitalistic growth paradigm is totally flawed

Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a component the creation of unpredictable chaotic turbulence puts the controls ito a situation that will never return the system to its initial conditions as it is STIC system (Lorenz)

The chaotic turbulence is the result of the concept of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite working containers (villages communities)

Environment Economics Finance Mathematics Physics Biology Health Fractals Chaos TURBULENCE Engineering Navier Stokes Supply Demand Strategy

Basic model for standing waves on a string with varying mass density (e.g. beads)

f1=8.1 Hz; f2=21.05 Hz

Physics Physik Schecker Niedderer

Após uma enchente, um grupo de pessoas ficou ilhado numa região. Um avião de salvamento, voando horizontalmente a uma altura de 720 m e mantendo uma velocidade de v = 50m/s, aproxima-se do local para que um pacote com medicamentos e alimentos seja lançado para as pessoas isoladas. A que distância, na direção horizontal, o pacote deve ser abandonado para que caia junto às pessoas? Despreze a resistência do ar e adote um g = 10m/s².

Fonte: (RAMALHO, NICOLAU E TOLEDO;Fundamentos da Física, Volume 1, 8ª edição, pp. 12 – 169, 2003).

Clique aqui para ver uma descrição do que é Lançamento Horizontal no vácuo.

SYSTEM DYNAMIC Physics Kinematics Computational Modeling Simulation.

Electron in a one-dimensional square well potential

W1=-9.70751 eV W2=-8.83403 eV  W3=-7.393 eV

Physics Physik Schecker Niedderer

​Lab 2 for Physics PHY201Simulating a spherical projectile released with an initial velocity of 0 m/s that experiences both forces of gravity and air drag.

PHY201 Physics Projectile Gravity Momentum Drag

A PID control loop for a simple linear systemSome stochasticity in the throttle and sensor ​

Physics Control

Physics

Physics

Physics Slope

Physics

Basic model of Newton's mechanics applied to fall with air friction (e.g. a paper cone)

Physics Physik Schecker Niedderer

FORCED GROWTH GROWTH GOES INTO TURBULENT CHAOTIC DESTRUCTION 
 BEWARE pushing increased growth blows the system!
(governments are trying to push growth on already unstable systems !)

The existing global capitalistic growth paradigm is totally flawed

The chaotic turbulence is the result of the concept and flawed strategy of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite limited size working capacity containers (villages communities)

Environment Economics Finance Mathematics Physics Biology Health Fractals Chaos TURBULENCE Engineering Navier Stokes Science Demographics Population Growth BIFURCATIONS MTBF Strategy Weather

Physics Motion