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Video

Hi everyone!
I allowed to put on a wiki (in the laboratory on the page number 4) the video playback experiment. I hope you enjoy it. I have not reported the discursive part of the experience, but it is already on the blog. Waiting for the final go-ahead for prof ....
good work!

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Exercises on falling bodies and parabolic motion

EXERCISE

A body is launched, with a velocity 'initial horizontal 10 m / sec from a tall building h = 35 m. Determine:
a) the distance d, measured from the base of the building, the point of impact with the ground of the body.
b) The flight time.

SOLUTION

During the motion of fall speed 'remains constant while the horizontal and vertical (at all) varies according to the law:

establish a baseline that, starting from the base of the building, the x-axis is horizontal and the vertical z axis. The projections of the motion along the x-axis and the z-axis are the following:

From (3) by putting z = 0 we get the flight time:

Correspondingly, the projection along the x-axis has traversed a distance:

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link? Concept map on Newton

Good evening everyone!
I write about the experience of laboratory No. 4. Make a link to the theoretical treatment of the system "more passenger lift," you agree with me?
if we do so directly on the wiki?
soon and good work (though perhaps no longer the time)! Sara

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I created a concept map on Newton, there's link here.
I realized that I do concept maps is useful to summarize the fundamental concepts of a topic to study!

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Publishing on the wiki!

Ok guys! I have read your work and I think it is time to publish. Maddalena and Paul, Luke and Sara, you must put your work on the Wiki?
As for the story to wait a moment, lavoriamoci a little 'because there are new suggestions, ok?

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Prof. Buongiorno!
I usually use Flickr and I delel uploaded photos can be useful, in particular may serve to Patricia and Ross. There are two photos: one of Newton and Galileo. Here they are

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laboratory experience

Construction of a dynamometer

Need: a helical spring, a support of wood, a piece of graph paper, pencil, some bodies sample mass note.
Design: We hung a
'end of the spring support, on which we glued a strip of graph paper vertically.
· Calibration of the instrument :
we have indicated with the pencil in zero reference index of the spring discharge. Our laboratory is equipped with a mass of 0.1 Kg, 0.5 Kg, 1 Kg, we hung on the spring weight and we have drawn a smaller mark on the paper at the index and indicates the value of the force hanging from the spring (assuming g = 9.80 m / s ^ 2, we scored 0,980 N). We have different masses hung by suitable combinations of those available and scoring scala.Il corresponding weights on dynamometer is constructed: we can now proceed to the measure of an unknown weight.
· Measurement of an unknown weight : we hung the body of which we measure the weight and the value we read on the scale at the index, the reading is the weight of the body. In the calibration of the instrument we used the bodies of known mass, then multiplied by the acceleration of gravity to find the weight. For this reason, the reliability of the instrument ceases to be valid if taken to a point on the Earth's surface other than calibration, where g has a slightly different value. Here in the picture the image of a dynamometer.

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n 3 Concept map on Galileo

Prof, Ross and I have prepared this concept map on the observations of Galileo. How do you think? the link is here
To all: if you want to change something in our map go to the folder "mechanical" in cmap as we did in the lab on Wednesday!

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Let the WIKI? Laboratory experiments

Great Guys, you're doing a great job everyone!
The work done in the group are a bit 'to be corrected, but are well written and I see with pleasure that a cast that is much collaborate via the web. The next time we meet we discuss in class well in voice and decide which posts will be "promoted" to go to the wiki.

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n 2

The second law of dynamics

We have combined with a mass of 1 kg of a spring and we have a spurt of 2 m / s ^ 2. To measure the acceleration of the body we used a motion sensor connected via a USB interface Pasporta-supplied PC program DataStudio.
We have carefully measured the elongation Δl of the spring associated with the force that the spring exerts on the block. We then replaced with another body of mass m 1 and applied to that body the same force, that which produces the same stretch of the spring measured in the previous case (we have assumed that the force of the spring is proportional to elongation thereof). In this case we measured an acceleration other than 2 m / s ^ 2, ie 0.5 m / s ^ 2. Is defined as the ratio of mass of the two bodies of the mutual relationship of the two acceleration impressed on them by the same force: 1 m / m = a 0 0 / a 1.
The second body, which undergoes an acceleration equal to one fourth that of the first body with the same force acting, has a mass four times greater.
Finally, we verified that the relationship between the two masses is independent of the applied force, if this is the same for both: so we repeated the experience with a force that acts different, and we found: m 1 / m = a 0 0 / a 1 = a 0 '/ a 1'.

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inertial mass and gravitational mass

The concept of mass is one of the concepts of physics more "complicated" to be defined.
mass, like every physical quantity must be measurable. Then need to define the laws expressed in mathematical formulas that invoke it.

There are therefore two types of mass

1) the inertial mass , one that appears in the formula 2 'principle of dynamics:

F = ma

2) the gravitational mass , one that appears in the formula of the law of gravitation:

F = Gm 1 m 2 / R.

These are two different types of mass, as defined in the phenomena of a different nature and therefore different mathematical formulas. But then we see to give a more precise definition of the two types of mass.

1) The inertial mass indicates the "resistance" that a body opposed to a change in its state of motion .

In fact, if we apply the same force to two different bodies, we get different accelerations.
If, for example, a force of 100 N to a body of 10,000 kg inertial mass we get an acceleration equal to:

a = F / m = 100/10000 = 0, 01 m / s ^ 2

If we apply the same force to a body's inertial mass 5 kg, we get the acceleration:

a = F / m = 100 / 5 = 20 m / s ^ 2.

A higher body mass inertia opposes a greater "resistance" to change its state of motion that, with the same force, you get a lower acceleration. A body mass inertia opposes child less "resistance" to change its state of motion that, with the same force, you get a greater acceleration.

We can then define the inertial mass as the ratio:

m = F / a.

To calculate the inertial mass of a body then simply divide the force acting on it by the acceleration it undergoes. At equal strength, lower inertia mass means faster acceleration, greater inertial mass means less acceleration (acceleration and inertial mass are inversely proportional).

2) The gravitational mass indicates the "capacity" that the bodies of attract gravitationally.

The gravitational force that occurs between two bodies is directly proportional to the masses
bodies and inversely proportional to the square of their distance (calculated with respect to their centers of mass).

What is the relationship between the two types of mass?

Experience has shown that inertial mass and gravitational mass are linked with each other (
for this reason that justifies the use of the term "mass").

In fact, thanks to sophisticated experiments, occurs inertial mass and gravitational mass
coincide (with great precision), this fact is not obvious, so as to represent a new
law of nature, which he called Einstein equivalence principle . The equivalence between the two types of mass is the basic logic underlying the theory of general relativity .

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Newton's laws

Newton was able to sum up the description of the phenomena of mechanics and gravitation in three laws of motion and law of universal gravitation. This is the first and perhaps biggest, unification of scientific knowledge. In a few laws expressed in mathematical form, describes a large number of natural phenomena.

1) a 'principle of dynamic or principle of inertia (already discovered by Galileo) Means a body not subject to forces moves with constant velocity (in intensity, direction and orientation) with respect to a inertial reference system.

2) 2 ' principle of dynamics: a force acting on a body gives him an acceleration (change in velocity) proportional to the force itself (the coefficient of proportionality is called the mass). The principle is expressed mathematically by the formula F = m · to.

3) principle of action and reaction : for every force is an opposing force ( equal in intensity and direction, but in opposite direction).

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remember all the settings that we chose to include this material in our blog and wiki are:
character: Times
font size: 12
Good job everyone!

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laboratory experience n + 5

The candle in freefall
Need:
a candle, a match, a transparent and robust.
Design:
a 'further review of the' absence of serious effects in a free fall can be done using a candle, placed in a transparent and robust.
We lit the candle with the match. The flame of a candle is fed by the oxygen of the air: stops in environments (such as municipalities) that is continuously replenished by the convective motions of 'air around the candle flame, which in turn generated by the buoyant force, a consequence of gravity opposed by the container firm. We place the candle in the container and dropped freely container system + candle flame is extinguished, according to forecasts.

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passenger elevator system

Consider a man of 70 kg mass is traveling on an elevator. The motion of the lift is directed vertically and is uniformly accelerated with acceleration a (write all scalar quantities in the game as being directed along the z axis of an orthonormal reference system).
In the scheme of the problem is indicated by the weight of the passenger W (W = 70 kg * 9.80 m / s ^ 2 = 686 N) with R and the force exerted on it from the floor. Note that the third law of motion for R is always equal in magnitude and opposite in direction to the force exerted by the passenger on the floor. The quantities involved are considered positive if it agrees to the z axis drawn in the figure, negative otherwise. Applying the second law of dynamics is written
F = ma, or

R - W = ma, where a is the acceleration
system + passenger lift.
So if for example a = 0.5 m / s ^ 2 (positive, ie upward), we get
R = 70 kg * 9.80 m / s ^ 2 + 70 kg * 0.5 m / s ^ 2 = 721 N,
The passenger, still in the frame of the lift, the feeling of more weight than usual. The 'apparent weight' of the passenger (in the form of the force he exerts on the floor and vice versa) is in fact higher than it would if the elevator was at rest or of uniform motion moved, was that a reference system INS. This could occur by placing the passenger on a dynamometer attached to the floor of the elevator. Where a = -0.5 m / s ^ 2, is
R = 70 kg * 9.80 m / s ^ 2 - 70 kg * 0.5 m / s ^ 2 = 651 N,
The passenger exerts less force on the floor if the direction of acceleration is opposite to the axis z. The example on display is very easy for example reflected in daily life: we can easily realize on the floor to exercise a power greater than our normal weight every time we are in an accelerated upward (lift or games of amusement parks) , the lower when the environment in question is accelerated towards the low.
An interesting case is that of free fall if the lift cable was cut, the system + passenger elevator would fall freely toward the Earth with acceleration a =-g. Then R would be nothing, the passenger and the floor is not exerting any force on each other and the apparent weight of the passenger (possibly indicated by the dynamometer) would be zero.

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laboratory experience n 4:

free fall of bodies
We verified the absence of apparent weight of a falling body through the law of Stevin. This law states that the difference between the pressures at two points of a fluid in equilibrium in the presence of gravity is given by the pressure exerted at the base by a fluid column height equal to the difference between the two points. We can therefore write: AP = ρgh.
We took a plastic bottle and made a hole a few inches from the bottom. We filled the water bottle so that h is the depth of the hole from the surface of the water and we adjourned to a 'considerable height (eg standing on a table or a chair). The water pressure is p = ρgh, where ρ is its density. We observed a gush of liquid out of the hole, perpendicular to the surface of bottle. We then dropped the bottle freely: the system is the same water bottle + of + passenger elevator system studied in theory. The apparent weight of the water bottle in the frame in free fall is zero, so it's nothing the pressure p calculated according to the law of Stevin. According to forecasts, the gush of water ceases to flow.