Determining the Spring Constant of a rubber band through a slingshot From the beginning I knew I wanted to start a Physics related to motion. I’ve always had an interest in using devices to fire an object at greater speeds than throwing. The reason I chose to use a slingshot was that I never used one before in my life. Using motion to determine the spring constant at a certain force allows me to have a problem to which I would solve using something I enjoy. Used in the early times for hunting and military the slingshot was still commonly known as the sling. It wasn’t till 1839 that Charles Goodyear figured out the true potential of rubber which could amplify the acceleration of the object slung with minimal effort. In today’s society the …show more content…
What Hooke’s Law states is that small deformations of an object, the displacement, or size of the deformation is directly proportional to deforming force or load2. In basic terms the amount of force you pull is proportional to amount the object stretches or retracts. F represents force measured in Newton’s and is derived from the slingshot when the rubber is released from its final displacement. x represents the length of the total displacement of the rubber band before and after its release. k called the “spring constant” is the variable we are trying to find as well is the total of the stress made on the object. Stress is the force on unit areas in a material that develops a result in externally applied force. The reason why k must be multiplied by two is because modern versions of the slingshot are designed to have a Y-shaped handle with two rubber straps and a pouch attached to the points. Since I pull the rubber band back to increase its displacement both individual strand is parallel producing the same spring constant. F would be measured the same since it would be calculated from both spring constants. x wouldn’t be doubled because both strands are united as one and both strands displacement are the …show more content…
Column1 Spring Constant(N/m)
Orange 1416.809091 ±193
Light Blue 1387.899091 ±190
Green 1421.951364 ±193
Using that force to find the spring constant from the tweaked equation mentioned before.
Conclusion
This experiment confirms the relationship of the spring constant between the objects when projected with a certain field of force. Even with their difference in mass, each ball showed similar results when launched with 620 ±80N proving that spring constant has a relationship between if experimented properly. The spring constant of the rubber band in the slingshot I used is on average 1408 ±192(N/m) when the force’s average on each ball is around 620 ±80N.
I feel that even with the uncertainties in the numbers from numbers that my answer still contains scientific proof on determining the spring constant. The answer is still close to the actual answer and I believed that I used the best of my abilities to close that gap smaller. I’m satisfied with the formula I used in this lab as it gave the chance of calculating my problem mathematically proving my solution in a more scientific
Summary of “Forces on a baseball” by NASA.gov The article, “Forces on a baseball,” by NASA.gov, presents the facts on what makes a baseball fly threw the air a baseball. NASA.gov presents readers with the facts and breakdown drag,lift and weight, while explaining the air and temperature can affect how high and far the ball goes. The article references Newton’s first law of motion, “According to Newton's first law of motion, a moving baseball will keep moving in a straight line unless it is affected by another force.” As the article concludes, the author highlights that if the ball is perfectly round and smooth, its center of pressure will be exactly in the middle point.
Introduction: Isopods are crustacean, which is split into smaller groups, called order. Scientifically Isopoda order is called isopods, which include pill bugs and sow bugs (Crustacean class). Most of the time isopods are mistaken for “bugs” since they look like insects.
First the ball had a small hole directly in the center and the rod had an uneven end these presented challenges for getting an accurate measurement in step III. Second the errors in the measurements were carried through and expanded by the calculations performed. The obtaining the volume via the displacement method was only one step without calculations. Thus I believe the displacement method produce better measurments. 4.
The acceleration for each mass varies in number but are fairly close to each other as seen in table one. Table 2 displays the average acceleration and deviation of each mass. Figures two and three give sample position and velocity time graphs of each mass. Figure four displays the error margins for each mass. From the graph you can conclude that acceleration is not constant because a straight line cannot be drawn between each error margin.
PACE TECHNICAL PAPER ROUGH DRAFT This experiment was conducted in an attempt to have wooden baseball bats brought back to NCAA and high school and children’s leagues, too. The experiment idea was to set up a pendulum where the bat swung down and hit the ball in the same spot every time. Then I measured where the ball hit the ground.
The parts of a trebuchet, work with Newton’s first three laws; to state simply, anything at rest stays at rest while anything in motion stays in motion unless something acts upon them. This law is used as gravity causes the counterweight to free fall, the momentum of this object builds up potential energy as the arm rotates around the fulcrum. Then, Newton’s Third law as the counterweight falls, the sling (on the other end of the beam) rotates up, then the potential energy is turned into kinetic energy as the projectile is released from the sling and
Ball 1 flew through the air like a race car. Ball 2 fell to the ground faster, most likely due to weight. Ball 3 was hard to get to stay in the slingshot, but indeed still went farther than ball 2. In trial 2 and trial 3, ball 2 and 3 each somehow got hit with the front side edge of the slingshot causing a strong downforce on the ball. Those two balls, were not quite able to travel down the field very well.
“The mini ball was actually invented in France” and dramatically transformed the volume shots a single soldier could fire a weapon with an intensification of accuracy and range. The use of the mini ball elevated the kill rate significantly
The specific motion used for this analysis is a baseball pitch by Jake Arrieta who plays for the Chicago Cubs (https://giant.gfycat.com/BelatedWeirdKookaburra.gif). His characteristics: male, height is six foot four inches, weighs 225 pounds, pitches and bats with right hand, age is 30 years old, and has been playing for seven years. In order to produce enough force, the pitch has to go through multiple phases in order to generate it.
A. The invention of rockets is totally linked with the invention of 'black powder '. Most historians of technology credit the Chinese with its discovery. They form their belief on studies of Chinese writings or on the notebooks of early Europeans who settled in or made frequent visits to China to learn about its history and civilization. It is possible that, during the tenth century, black powder was first constituted from its primary ingredients of charcoal, sulphur, and saltpeter.
Physics was observed during a DHS girls lacrosse game by Newton’s Laws and in free-fall. Newton’s Laws consist of 3 different laws, the law of inertia, F=ma, and action-reaction forces. Free-fall was observed in the game when the lacrosse ball falls, and only gravity acts upon it. All in all, Newton’s Laws and free-fall was portrayed during the lacrosse game.
In conclusion, air pressure has a direct influence on the distance that the ball will travel when thrown. The hypothesis stated that if pressure is added to the football, then the distance the ball projects will increase when distance is a function of pressure. Based on the data that was collected from the experiment, the hypothesis was supported. When the football had more air inside, it went the farthest distance compared to the other two pressures that data was collected from.
The measured tensions were normalized relative to the maximum tension and the lengths were normalized relative to the length at which maximum force was generated (Ln = 29 mm). The measured data and expected data were plotted together (Figure 3). Correlation between measured and expected tensions at the same normalized lengths was determined for the three expected segments of the length-tension relationship.2,3,4 This was done using piecewise linear regression and yielded r2isometric = 0.956033. The fitted curve for the isotonic experiment resulted in r2isotonic = 0.960557. The F0 was 19.5 N for the fit and 6.35 N for the guess.
To find the momentum of the highest drop, the mass of the container with the egg inside it, 0.600 kg, was collected, and the final velocity of 15.0 m/s was calculated. This velocity was calculated by multiplying gravity by the time it took for the container to fall this distance. The final velocity and mass were then multiplied together to get the momentum, which is 9.00 kg m/s. Impulse is the change in an object 's momentum and can quantify the overall effect of a force acting over a specific time. To find the impulse for the highest drop, the value of the force exerted on the container was calculated by multiplying the mass with gravity, which equals 5.89 N. This force was then multiplied by the time it took for the drop, 1.53 s, which equalled an impulse of 9.01 Ns. The impulse and momentum is the same because, in a collision, an object experiences a force for a specific time interval that results in a change in momentum.
Its material and light-weight allows air resistance and its spin to have significant effects on its motion when airborne. Air resistance is the result of the projectile’s leading surface colliding with air molecules, and it is affected by the velocity of the object and its cross-sectional area. Specifically, a higher velocity and greater cross-sectional area results in greater air resistance. Additionally, ping pong balls allow bounce quite high when they strike a surface. 3.1.2 Physics of projectile motion Since the launcher will launch the ping pong ball so that it launches with a parabolic trajectory, the physics behind projectile motion comes into play.