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Investigating Free-falling Objects and Projectile Motions
Aim:
The aim of my experiment is to obtain results/ data and see whether a
pattern can be distinguished or whether my data agrees with a theory
or law. I'm going to try to undergo two investigations using the same
apparatus, and look at the outcome of my results and see whether a
firm conclusion can be made.
For the two investigations, I'm going to look at free-falling objects
and projectile motions:
Investigation 1:
Isaac Newton firstly discovered gravity when an apple fell on his
head. He then discovered that every object has a mass and that two
masses attract each other. This attraction has a gravitational field
strength, Newton wanted to calculate the gravitational field strength
of the earth. Newton discovered that when a force is applied to an
object, it will cause the object to accelerate, therefore the object
will change its velocity. The acceleration will be proportional to the
magnitude of the force and in the same direction as the force. The
proportionality constant is the mass, m, of the object.
F = ma
To prove this, astronauts on the moon dropped a hammer and a feather
on the moon's surface. Both reached the ground at the same time,
because there is no air resistance. Both objects fell with increasing
spped. They accelerated at a rate called the acceleration of free
fall/ acceleration due to gravity. On earth the acceleration, g is
close to 9.8m/s/s.
However, we usually associate the idea with objects dropped
vertically, but can F=ma be applied to objects that moves at angle for
example on an elevated ramp? But this can't be done because the theory
states that free falling objects fall at a constant acceleration of
9.8m/s/s ONLY if gravity is the only force acting on it. To prove
this, I will undergo an experiment involving vectors and mechanics.
Apparatus:
· Toy car
· [IMAGE]
Ramp with the length of 1m
Bouncing Ball Investigation This is an experiment to investigate bouncing balls and how they behave in different situations. Few independent variables will be changed, so the investigation is easy to manage, and the data is easier to process. The first independent variable that will be tested.
It is obvious its fall, but what else is occurring? Gravity. Albert Einstein discovered gravity by watching ordinary objects fall. At that moment, he became a scientific unscrupulous observer. Works Cited for: Dillard, Annie.
height of the ping-pong ball in a table of results. I will also make a
is the reason that the ball does not rebound off the block at the same
From the bar chart, we see that the potential energy in general agrees with the case above, i.e. it increases up to the particle’s maximum height and decreases from that point on. The kinetic energy, on the other hand, behave significantly differently than expected. Rather than decreasing form the beginning to the maximum height and then increasing, the kinetic energy appears to fluctuate in a somewhat random manner. This can be best understood by treating the experiment as a closed system, where energy (but not mass) can leave the system and enter the surroundings. As the projectile moves through the air, it collides into air particles, imparting some of its energy to these particles in the form of friction, heat and sound, thus losing energy in the process. We therefore would expect the sum of the potential energy and the kinetic energy to decrease over time as the projectile loses energy to its surroundings. However, from the data from document , this also does not seem to be the case. This discrepancy can be explained by including experimental uncertainty, where errors in our measurements can lead to unjustified conclusions. In order to reduce the sources of these errors, the experiment should be run multiple times in ideal conditions, averaging over the results and calculating the resulting averaged energies.
In this inquiry the relationship between force and mass was studied. This inquiry presents a question: when mass is increased is the force required to move it at a constant velocity increased, and how large will the increase be? It is obvious that more massive objects takes more force to move but the increase will be either linear or exponential. To hypothesize this point drawing from empirical data is necessary. When pulling an object on the ground it is discovered that to drag a four-kilogram object is not four times harder than dragging a two-kilogram object. I hypothesize that increasing the mass will increase the force needed to move the mass at a constant rate, these increases will have a liner relationship.
The Terminal Velocity of a Paper Helicopter Introduction. Terminal velocity is the resulting occurance when acceleration and resistance forces are equal. As an example, a freefalling parachutist before the parachute opens reaches terminal velocity at about 120mph, but when the parachute is opened, terminal velocity is reached at 15mph, which is a safe speed to hit the ground at. This experiment will be no different, as I will be examining the terminal velocity of a freefalling paper helicopter.
An object that is falling through the atmosphere is subjected to two external forces. The first force is the gravitational force, expressed as the weight of the object. The weight equation which is weight (W) = mass (M) x gravitational acceleration (A) which is 9.8 meters per square second on the surface of the earth. The gravitational acceleration decreases with the square of the distance from the center of the earth. If the object were falling in a vacuum, this would be the only force acting on the object. But in the atmosphere, the motion of a falling object is opposed by the air resistance or drag. The drag equation tells us that drag is equal to a coefficient times one half the air density (R) times the velocity (V) squared times a reference area on which the drag coefficient is based.
The acceleration of a body or object is directly proportional to the net force acting on the body or object and is inversely
Newton’s 2nd Law of Motion states that acceleration is directly proportional to net force when mass is constant. This experiment dealing with variable forces has as its objective the verification of this law. In this experiment this law is tested for verification in straight forward way. Through the use of a Force Sensor and an Accelerometer, data collection of observations and measurements that a force exerts on a small cart along with the cart’s accelerations are to be determined. The sensors’ measurements will be employed to give meaningful relationships between the net force on the cart, its mass, and its acceleration under these conditions. The resultant measurements revealed will verify and determine the force and acceleration relationship as stated by Newton.
Newton’s three laws of motion state that: 1. an object’s state of motion tends to remain constant, unless an external force is applied. 2. The force applied to the object is equal to the mass of the object multiplied by its acceleration, and the force and acceleration vectors are in the same direction 3. For every action, there is an equal and opposite reaction. When considering these laws in the analysis of a hard collision in football, we make a few observations.
Collision Theory Experiment 1. What is the difference between a. and a Temperature increases the number of collisions. When the temperature increases the particles move quicker. If they're moving quicker, they are going to have more collisions. [ IMAGE] 2.
If a force acts on a body, the body accelerates in the direction of the force. In the example of the force of gravity, small things like textbooks are pulled downward toward the center of the large mass of the Earth, not up into space, even if some people think that this might happen. Isaac Newton was the first to conceive of weight as the gravitational attraction. between the body and the Earth. The force that results from the gravitational attraction of the Earth on its surface is what we call weight. Science has chosen to measure the mass of objects in units that are roughly equivalent to the weight of those objects on Earth.
The second law is, “the relationship between an objects mass (m), its acceleration (a), and the applied force (f) is F= ma.” The heavier object requires more force to move an object, the same distance as light object. The equation gives us an exact relationship between Force, mass, and acceleration.
Here, we can use the vectors to use the Pythagorean Theorem, a2 + b2 = c2, to find the speed and angle of the object, which was used in previous equations.