Investigation into how mass affects the rate of fall of cup cakes Essay Example

Investigation into how mass affects the rate of fall of cup cakes Essay Aim: In this investigation we will observe and analyse the rate of fall of cup cakes when the mass is altered.In my preliminary work we conducted experiments where we dropped a large surface area parachute and small surface area parachute from the same height of 1 metre and 1.5 metres. The purpose of this preliminary experiment is to familiarise and understand the principles involved in the experiment.Diagram:Results of preliminary experiment (1):Parachute dropped at 1 metre -Time in seconds to fall 1 metreSmall surface area parachute1.161.221.25Large surface area parachute2.002.031.84Average:Time in seconds to fall 1 metreSmall surface area parachute1.21Large surface area parachute1.96From these results we can see that, the larger the surface of the parachute will fall at a slower speed compared to a smaller parachute with a smaller surface area, which will fall at a faster speed. A larger surface area increases the air resistance, and slows the fall.Another experiment that was cond ucted is where cup cakes are dropped at the same level, the variable being the weight of the paper cup. The weight was increased but adding paperclips to the paper cup.Diagram:Results of preliminary experiment (2):1.151.071.141.281.121.121.211.181.161.23Average time taken to fall in seconds5.165.91From these particular results we can tell that the more paper clips added the heavier the falling object is and the faster it will reach the ground.Because the weight and gravity are not balanced then paper cup accelerated in that direction. The rate of fall increased as the weight increased.Experiment: Investigation into how mass affects the rate of falling cup cakesAPPARATUS* Paper cups * 2. Metre sticks * Clamp * StopwatchDiagram of materials in useMETHODOnce the apparatus is set up correctly, at the height of 2 metres from the floor we will drop the paper cup and record the time it takes to finish the 2 metre drop.2 metres is chosen as the height as it allows time to release the paper cup and start and stop the clock sufficiently. As opposed to a shorter distance e.g. 1 metre where it allows errors to be made since it reaches the ground so fast, the person timing, their reflexes may not be fast enough to react accurately. 2 metres is also a practical height as it can be reached if we use a chair to aid us. If we increased the height to 3 metres the paper cup is more likely to be affected by disturbances towards the experiment e.g. Drafts.The paper cup will be dropped 3 times at each selected mass to insure accurate results and hopefully rule out any erroneous results.Ive chosen to drop the paper cup in an upright position (__/) because it is more streamline and so the particles in the air can travel at an equal velocity and low frictional drag.If the paper cup is dropped upside down (/ ) there will be an increased turbulent force as the streamline are more irregular and high frictional drag, these factors are more likely to affect the results.Table of selected Ra nge:RANGE1 cup2 cups3 cups4 cups5 cupsI believe this is a good range as the mass is steadily increased. Also the differences between each cup, in ascending order are equal.To ensure that it will be a fair test there will only be one variable which is the mass of the paper cups, everything else will be kept the same.2 metres is chosen as it is an adequate time to release the cup as well as record the time sufficiently. At a shorter distance our reflexes may not be quick enough to react to the touchdown of the paper cup and an increased distance will allow more outside factors to affect the drop of the paper cup e.g. drafts. Ive came to the decision through the preliminary experiments where at dropping the parachutes from 1 metre we found it difficult to record an accurate time. The height of 2 metres will be kept through out the whole experiment.The paper cups itself will be of the same type and brand new so this minimizes and disturbments to the shape or creases of the cup, this wil l help maintain a streamline shape.So that the time can be recorded as accurately as possible, one specific person will be stopping the clock only, so all distractions are minimal, they will not have to concentrate on any other task e.g. dropping the cup. So hopefully the recorded times will be accurate. If we had to combine the jobs of dropping the paper cup as well as stopping the clock this could delay the reflexes and result in an inaccurate time being recorded.Each experiment will be repeated three times on each mass to rule out any errors.From my preliminary work, I can use Newtons Second Law to aid my prediction of the experiment;If there is an UNBALANCED FORCE, then the object will accelerate in that direction. The size of the acceleration is decided by the formula F = ma A= F/MAlso, acceleration is proportional to force. The acceleration is inversely proportional to the mass -As the paper cups will have different masses this will affect the terminal velocityV = Initial velo city + (Acceleration à ¯Ã‚ ¿Ã‚ ½ Time)So from this formula I know that an increased mass will increase the fall of the paper cup.1) Initially the forces will be unbalanced so the paper cup will accelerate2) But then the two forces will balance out and move at a steady speed, this is because it has reached terminal velocity.- Due to a greater mass there will be a greater terminal velocity.The earths gravitational pull on the paper cup is proportional to its mass. The strength of the earths gravitational field is 10N/kg. The weight of an object is the force that gravity exerts on it, and is equal to the objects mass à ¯Ã‚ ¿Ã‚ ½ the pull of gravity on each kg.Weight = mgAnd the size of g can show the gravitational acceleration g = w/m.So, the paper cup which has the biggest, as will accelerate faster.Both balls have a spread of 40 m/s. At this speed the weight of the red ball is balanced be air resistance but the heavier green ball is still accelerating.Surface area also affects the speed of fall; an object with a large surface area will be slowed down and shown in preliminary experiment with the parachutes.However in this particular experiment the surface are will stay the same, perhaps a minute increase of surface area where the added paper cups are places around the rim, but this would only make a minor difference.So, from these formulas I predict that as the mass increases, the time taken to fall a 2 metre distance will be less compared to the smaller mass paper cups. There will be a higher terminal velocity reached by the larger mass paper cups which will result in a quicker fallIve illustrated my results in a graph; I predict the graph to be inversely proportional. Investigation into how mass affects the rate of fall of cup cakes Essay Example Investigation into how mass affects the rate of fall of cup cakes Essay Aim: In this investigation we will observe and analyse the rate of fall of cup cakes when the mass is altered.In my preliminary work we conducted experiments where we dropped a large surface area parachute and small surface area parachute from the same height of 1 metre and 1.5 metres. The purpose of this preliminary experiment is to familiarise and understand the principles involved in the experiment.Diagram:Results of preliminary experiment (1):Parachute dropped at 1 metre -Time in seconds to fall 1 metreSmall surface area parachute1.161.221.25Large surface area parachute2.002.031.84Average:Time in seconds to fall 1 metreSmall surface area parachute1.21Large surface area parachute1.96From these results we can see that, the larger the surface of the parachute will fall at a slower speed compared to a smaller parachute with a smaller surface area, which will fall at a faster speed. A larger surface area increases the air resistance, and slows the fall.Another experiment that was cond ucted is where cup cakes are dropped at the same level, the variable being the weight of the paper cup. The weight was increased but adding paperclips to the paper cup.Diagram:Results of preliminary experiment (2):1.151.071.141.281.121.121.211.181.161.23Average time taken to fall in seconds5.165.91From these particular results we can tell that the more paper clips added the heavier the falling object is and the faster it will reach the ground.Because the weight and gravity are not balanced then paper cup accelerated in that direction. The rate of fall increased as the weight increased.Experiment: Investigation into how mass affects the rate of falling cup cakesAPPARATUS* Paper cups * 2. Metre sticks * Clamp * StopwatchDiagram of materials in useMETHODOnce the apparatus is set up correctly, at the height of 2 metres from the floor we will drop the paper cup and record the time it takes to finish the 2 metre drop.2 metres is chosen as the height as it allows time to release the paper cup and start and stop the clock sufficiently. As opposed to a shorter distance e.g. 1 metre where it allows errors to be made since it reaches the ground so fast, the person timing, their reflexes may not be fast enough to react accurately. 2 metres is also a practical height as it can be reached if we use a chair to aid us. If we increased the height to 3 metres the paper cup is more likely to be affected by disturbances towards the experiment e.g. Drafts.The paper cup will be dropped 3 times at each selected mass to insure accurate results and hopefully rule out any erroneous results.Ive chosen to drop the paper cup in an upright position (__/) because it is more streamline and so the particles in the air can travel at an equal velocity and low frictional drag.If the paper cup is dropped upside down (/ ) there will be an increased turbulent force as the streamline are more irregular and high frictional drag, these factors are more likely to affect the results.Table of selected Ra nge:RANGE1 cup2 cups3 cups4 cups5 cupsI believe this is a good range as the mass is steadily increased. Also the differences between each cup, in ascending order are equal.To ensure that it will be a fair test there will only be one variable which is the mass of the paper cups, everything else will be kept the same.2 metres is chosen as it is an adequate time to release the cup as well as record the time sufficiently. At a shorter distance our reflexes may not be quick enough to react to the touchdown of the paper cup and an increased distance will allow more outside factors to affect the drop of the paper cup e.g. drafts. Ive came to the decision through the preliminary experiments where at dropping the parachutes from 1 metre we found it difficult to record an accurate time. The height of 2 metres will be kept through out the whole experiment.The paper cups itself will be of the same type and brand new so this minimizes and disturbments to the shape or creases of the cup, this wil l help maintain a streamline shape.So that the time can be recorded as accurately as possible, one specific person will be stopping the clock only, so all distractions are minimal, they will not have to concentrate on any other task e.g. dropping the cup. So hopefully the recorded times will be accurate. If we had to combine the jobs of dropping the paper cup as well as stopping the clock this could delay the reflexes and result in an inaccurate time being recorded.Each experiment will be repeated three times on each mass to rule out any errors.From my preliminary work, I can use Newtons Second Law to aid my prediction of the experiment;If there is an UNBALANCED FORCE, then the object will accelerate in that direction. The size of the acceleration is decided by the formula F = ma A= F/MAlso, acceleration is proportional to force. The acceleration is inversely proportional to the mass -As the paper cups will have different masses this will affect the terminal velocityV = Initial velo city + (Acceleration à ¯Ã‚ ¿Ã‚ ½ Time)So from this formula I know that an increased mass will increase the fall of the paper cup.1) Initially the forces will be unbalanced so the paper cup will accelerate2) But then the two forces will balance out and move at a steady speed, this is because it has reached terminal velocity.- Due to a greater mass there will be a greater terminal velocity.The earths gravitational pull on the paper cup is proportional to its mass. The strength of the earths gravitational field is 10N/kg. The weight of an object is the force that gravity exerts on it, and is equal to the objects mass à ¯Ã‚ ¿Ã‚ ½ the pull of gravity on each kg.Weight = mgAnd the size of g can show the gravitational acceleration g = w/m.So, the paper cup which has the biggest, as will accelerate faster.Both balls have a spread of 40 m/s. At this speed the weight of the red ball is balanced be air resistance but the heavier green ball is still accelerating.Surface area also affects the speed of fall; an object with a large surface area will be slowed down and shown in preliminary experiment with the parachutes.However in this particular experiment the surface are will stay the same, perhaps a minute increase of surface area where the added paper cups are places around the rim, but this would only make a minor difference.So, from these formulas I predict that as the mass increases, the time taken to fall a 2 metre distance will be less compared to the smaller mass paper cups. There will be a higher terminal velocity reached by the larger mass paper cups which will result in a quicker fallIve illustrated my results in a graph; I predict the graph to be inversely proportional.

Visit The Cosmic Pillars of Creation, Again

Visit The Cosmic Pillars of Creation, Again Do you remember the first time you saw the Pillars of Creation? This cosmic object and the ghostly images of it that showed up in January 1995, made by astronomers using the Hubble Space Telescope, captured peoples imaginations with their beauty. The PIllars are part of a a starbirth region similar to the Orion Nebula and others in our own galaxy where hot young stars are heating up clouds of gas and dust and where stellar EGGs (short for evaporating gaseous globules) are still forming stars that may someday light up that part of the galaxy.  Ã‚   The clouds that make up the Pillars are seeded with young protostellar objects- essentially starbabies- hidden away from our view. Or, at least they were until astronomers developed a way to use infrared-sensitive instruments to look through those clouds to get at the babies within. The image here is the result of Hubbles ability to peer past the veil that hides starbirth from our prying eyes. The view is amazing.   Now Hubble has been pointed again toward the the famous pillars. Its Wide-Field 3 camera captured the multi-colored glow of the nebulas gas clouds, revealed wispy tendrils of dark cosmic dust, and looks at the rust-coloured elephants’ trunk-shaped pillars. The telescopes   visible-light image it took provided an updated, sharper view of the scene that so caught everyones attention in 1995.   In addition to this new visible-light image, Hubble has provided a detailed view that youd get if you could strip away the clouds of gas and dust hiding the stellar newborns in the pillars, which is what an infrared light view gives you the ability to do.    Infrared penetrates much of the obscuring dust and gas and unveils a more unfamiliar view of the pillars, transforming them into wispy silhouettes set against a background peppered with stars. Those newborn stars, hidden in the visible-light view, show up clearly as they form within the pillars themselves. Although the original image was dubbed the Pillars of Creation, this new image shows that they are also pillars of destruction.    How does that work?   There are hot, young stars out of the field of view in these images, and they emit strong radiation which destroys the dust and gas in these pillars. Essentially, the pillars are being eroded by strong winds from those massive young stars. The ghostly bluish haze around the dense edges of the pillars in the visible-light view is material that is being heated by bright young stars and evaporating away. So, its entirely possible that the young stars that havent cleared their pillars could be choked off from forming further as their older siblings cannibalize the gas and dust they need to form.   Ironically, the same radiation that tears apart the pillars is also responsible for lighting them up and causing the gas and dust to glow so that Hubble can see them.   These arent the only clouds of gas and dust that are being sculpted by the action of hot, young stars. Astronomers find such intricate clouds around the Milky Way Galaxy- and in nearby galaxies as well. We know they exist in such places as the Carina nebula(in the southern hemisphere sky) which also contains a spectacular supermassive star about to blow up called Eta Carinae.   And, as astronomers use Hubble and other telescopes to study these places over long periods of time, they can trace motions in the clouds (presumably by jets of material flowing away from the hidden hot young stars, for example), and watch as the forces of star creation do their thing.   The Pillars of Creation lie about 6,500 light-years away from us and is part of a larger cloud of gas and dust called the Eagle Nebula, in the constellation Serpens.

Spss work and analysis Coursework Example | Topics and Well Written Essays - 1000 words

Spss work and analysis - Coursework Example The complete data is fed through MS Excel and converted to SPSS 16.0. Suitable tables are presented depicting the influence of each variable on unemployment. Regression Analysis: The regression is measure of functional relationship between a dependent variable and one or more independent variable(s). Here in this study, we consider the unemployment as dependent variable and the other variables such as real GDP, Net Export, investment and consumption as independent variables individually since the unemployment depends on all the other influencing and independent variables. The data is analyzed through SPSS 16.0 package and the procedure adopted is linear regression with all the independent variables taken individually. The real values are itself considered instead of log or ln of the variables since they showed more significant correlations better than that of log or ln of the variables and also many values are missing for log or ln of the variable Net Export since the original values are negative. The data is secondary data collected through internet from the year 1995 to year 2010 for 16 years for each quarter (totally 64 values). Table 1: Table representing the descriptive statistics of the variables under study Descriptive Statistics Variable Descriptives Value Std. Error unemployment Mean 1810.4688 45.87412 95% Confidence Interval for Mean Lower Bound 1718.7966 Upper Bound 1902.1409 Median 1675.5000 Variance 134683.840 Std. Deviation 366.99297 Minimum 1392.00 Maximum 2485.00 Range 1093.00 Skewness 0.748 0.299 Kurtosis -0.953 0.590 real GDP Mean 298521.3906 4084.62665 95% Confidence Interval for Mean Lower Bound 290358.9156 Upper Bound 306683.8657 Median 302297.0000 Variance 1067787189.480 Std. Deviation 32677.01317 Minimum 238611.00 Maximum 344809.00 Range 106198.00 Skewness -0.350 0.299 Kurtosis -1.189 0.590 Net Export Mean -5819.9062 657.69968 95% Confidence Interval for Mean Lower Bound -7134.2142 Upper Bound -4505.5983 Median -7470.0000 Variance 2768440 7.991 Std. Deviation 5261.59748 Minimum -13985.00 Maximum 4492.00 Range 18477.00 Skewness 0.596 0.299 Kurtosis -0.925 0.590 Investment Mean 28364.5781 665.84459 95% Confidence Interval for Mean Lower Bound 27033.9939 Upper Bound 29695.1624 Median 28858.0000 Variance 28374337.486 Std. Deviation 5326.75675 Minimum 17033.00 Maximum 45721.00 Range 28688.00 Skewness 0.090 0.299 Kurtosis 1.095 0.590 Consumption Mean 182284.2812 2985.04017 95% Confidence Interval for Mean Lower Bound 176319.1545 Upper Bound 188249.4080 Median 187349.5000 Variance 570269748.809 Std. Deviation 23880.32137 Minimum 137588.00 Maximum 213214.00 Range 75626.00 Skewness -0.468 0.299 Kurtosis -1.208 0.590 Table 2: Table representing regression analysis Independent variables real GDP Net Export Investment Consumption R 0.306 0.493 0.515 0.306 R2 0.094 0.243 0.265 0.093 Adj R2 0.079 0.231 0.253 0.079 Standard Error of the estimate 352.16 321.89 317.11 352.24 F 6.42* 19.89** 22.381** 6.39 Significance of F 0.014* 0.00 0** 0.000 0.014* Constant 2837.493** 2010.53** 2816.90** 2666.74** Regression coefficient -0.03* 0.034** -0.035** -0.005* Interpretation: From the above regression output, it is concluded that real GDP has a significant influence on unemployment (with probability