"the splash mountain flume ride at walt disney world's magic kingdom in orlando, florida boats use one of the steepest flume ride in the world. the boats plunge 52 feet down a 43-degree incline near the final stage of the ride. assuming a coefficient of friction pf 0.12, determine the acceleration of the boat and riders."

a= 5.8 m/s²

Explanation:

Let's give a look to the external forces acting on the boat:

We can apply Newton's 2nd law to two axis mutually perpendicular, let's call X to an axis parallel to the incline, and Y to one perpendicular to it.

The sum of forces along the axis Y, must be 0, as there is no net force in this direction (the boat doesn't move through the incline), so we can write:

Fnet (Y) = Fn- Fg* cos 43° = 0⇒ Fn = Fg* cos 43º =m*g*cos 43º

In the direction parallel to the incline, there are two forces acting: the component of Fg parallel to the incline (in the direction of the movement) and the friction force, opposing to it.

Fnet (X) = m*g*sin 43º - μk* N = m*ax

Now, we can take the value of N that we have already got from the equation for the other axis:

Fnet(X) = m*g*sin 43º - μk*m*g*cos 43º  = m*ax

Simplifying common terms, and solving for ax, we get:

ax = g*sin 43º - μk*g*cos 43º = 9.8 m/s²*sin 43º - 0.12*9.8 m/s²*cos 43º

ax= 5.8 m/s²

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