We consider a falling particle whose mass is given by m. we assume that the forces acting on the particle are both the air resistance, which is proportional to the velocity of the particle, and the gravitation. the position of the particle at time t is given by x(t) and the direction of the gravitation is negative x direction. the equation of motion of the particle is given by d2r(t) dr(t) (1) mg a dt m dt2 11 where a is a positive constant, and g is the magnitude of gravitational acceleration we assume that the initial position of the particle is given by x(0) = 0 and the initial velocity of the particle is 0. answer the following questions. as the differential equation of the velocity v(t) of the particle (1) rewrite eq. (1) (2) when t oo, the acceleration becomes 0, and the velocity reaches the terminal velocity v(oo). express the terminal velocity using m, g and a. (3) we introduce a new variable u(t) v(t) - v(o0). rewrite eq. (1) as the differential equation of u(t) and express u(0) using m, g and a (4) express ut) as a function of t. (5) express v(t) as a function of t (6) select the correct statement from the following choices: (a) the mechanical energy of the particle increases with increasing time (b) the mechanical energy of the particle decreases with increasing time. (c) the mechanical energy does not change during the fall

quantum mechanics or quantum physics is physics of very small objects (particles) and physical entities.

quantum physics has some parallels to our macro world and some pretty unique ideas which theoretically and mathematically proven to be true even though we will never be able to access them because of our size.

there are many types of particles: subatomic, elementary etc.

subatomic means they are smaller than atom, elementary means they are at the very basis of everything.

subatomic particles are for eg. protons, neutrons but not electrons.

elementary particles are categorised into 3 groups by what they do.

these 3 groups are quarks, leptons and bosons.

light for example is a particle more precisely a photon a part of leptons.

proton (subatomic particle) is made out of 2 up quarks and 1 down quark each of these has a fractional charge like . (i crazy)

most famous scientist who contributed to this physics are:

the topic itself us understand a lot and will probably be vastly used in the future (quantum computers, understanding the big bang,

we also must not forget quantum effects like:

and there is more. but probably too much for this answer to be consistent due to my average understanding of this topic.

hope this you understand quantum mechanics a little more. i'm not an expert in the topic (so don't be like wth if you are an expert) but i'm very interested in it.

anyways quantum physics is a very hard topic (harder than physics (perhaps)) therefore searching for every information there is about it and learning it is unfortunately impossible (you can only specialise into 1 - 3 things or more (perhaps

have fun and i wish you luck!

r3t40

the gas collects in coils that then becomes a liquid that then flows through the coils inside the refrigerator

c

explanation: