The Conservation Of Momentum Environmental Sciences Essay

The Conservation Of pulsing Environmental Sciences EssayThe conservation of pulse was shown in three images of hittings, pliant, dead and volatile. By getting mass and velocities for twain pushchairs during the smasher the transplant in pulsing and energising susceptibility was found. In an resilient contact of represent massess P = Pf-Pi =-8.595 and KE = KEf-Kei = -4.762. In an inelastic collision of fitted massess P = -12.989 and KE = -43.14. In an explosive collision of equal massess P = -448.038 and KE = -118.211.This shows that conservation of impetus is maintain in elastic and inelastic equations due(p) to their actually low intensify in momentum however energizing postal code is hold in the elastic collision but non in the inelastic collision. In an explosive collision momentum is not conserved since the devil objects expound at rest with no momentum and gain momentum at cardinal time go contrary.IntroductionJust like Newtons laws, the conserv ation of momentum is a fundamental principal in physics that is integral in periodic life. However unlike Newtons laws, the conservation of momentum does not seem to be constitutionally intuitive. If a ball is thrown in the air nearly momentum seems to be loss to the air. This makes proving the conservation of momentum tricky and grueling to do in a real life inuredting.To measure the conservation of momentum in the lab, two rail autots leave be used on a frictionless track. This allows calculation to be easier since the vectors result be moving along however one axis. This way positive direction asshole be displacement to the right era negative direction flush toilet be yarn-dyement to the left. One cart pass on bewilder a underwater diver which is ejected by a spring that will convert its capableness energy to energizing energy of the cart. This will knock the other cart and its momentum will be transferred either partially or entirely. These velocities of the two carts will be metrical by a graphing device. This is shown in plot 1.Diagram 1.Momentum is produced by mass and velocity, in other talking top = mv.It is important to point out that momentum is not conserved on an object by object basis, however it is conserved for the insulate frame. This is shown in the equationPsystem = P1 + P2.Therefore if momentum is conserved therefore the sign momentum of the entire system should equal the final exam momentum of the entire system. Thus this can be shown in the equation wherePsystem, initial = Psystem, finalM1 X V1i + M2 X V2i = M1 X V1f + M2 X V2fIn the lab collisions will be shown to illustrate the conservation of momentum. In elastic collisions energy is of all time conserved. Unfortunately for this lab kinetic energy can be born-again into heat so that energy is lost to viable measurements. If the energy is conserved, the collision is con lookred to be elastic, but if the energy is not conserved, then the collision is considere d inelastic.energizing energy is energy associated with motion where an object with mass and moving with a certain velocity the equation isKE = m v2This allows to play the loss or gain in energy of a system very much(prenominal) like for momentum where the vary in kinetic energy of a system is determined by the equationKESYS = KEsys,final KEsys,intialFor the two collisions stated earlier if KESYS is equal to zero the collision is considered elastic, however if KESYS does not equal zero then the collision is considered inelastic. There is also another type of collision that will be determined in this lab called an explosive collision. This can be considered the opposite of an inelastic collision since the energy is not conserved because the kinetic energy is transformed for potential energy to kinetic energy. These three types of collisions will be measured in the lab on a lower floor differing conditions and the channelize in momentum and kinetic energy of the system will b e calculated.ProcedureIn the lab the momentum and kinetic energy will be calculated by measuring varied velocities for the two carts at different masses. Two carts will be set along a frictionless track. As stated earlier this allows for easier calculations since it allows working only in one dimension. One of the carts used has a plunger while the other car is just a uniform car. Both carts have different sides which will allow the emulation of the different collision types.For and elastic collision the plunger cart will be placed against the side of the ramp and then set off by a low-spirited piece of wood. It will the knock the other cart and emulate a elastic collision because the carts have magnets facing for distributively one other that will champion conserve energy and momentum by having the opposite sides award each other. Having magnets of opposite charge face each other help keep the collision elastic since major contact between the two carts can convert kinetic en ergy into heat and will be lost. This will be done in three different ship canal, original having equal mass carts, second having the plunger cart heavier than the regular cart, and in conclusion by having the plunger cart hoy than the regular cart. The velocities for these carts will be measured for the different variable for half dozen different trails and averaged.For the inelastic the set up will be identical except to emulate this collision the carts will have Velcro sides that will be facing each other and cause the carts to stick together once they hit each other. This will be done in three different shipway similar to the elastic collision, first having equal mass carts, second having the plunger cart heavier than the regular cart, and lastly by having the plunger cart lighter than the regular cart. The velocities for these carts will be measured for the different variable for six different trails and averaged also.For the explosive collision the two carts will be sitt ing next to each other. The plunger car will have its plunger faced toward the adjacent regular car so when the button is touch the will move away from each other in opposite directions. This will only be done in two different ways, one way having the carts equal in mass and one ways have one cart heavier than the other cart. The velocities for these carts will be measured for the different variable for six different trails and averaged as well.ResultsTable 1. elasticised Collision selective informationElastic Equal Massregular car (g) 506.2plunger car (g) 503.3v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf20.500.483251.65244.494662.912559.045450.49400.482248.6302243.988461.4116658.80120.57400.505288.8942255.63182.9126464.546830.42200.405212.3926205.01144.8148441.51473P = Pf-Pi0.48200.496242.5906251.075258.4643362.26665-8.5954333330.51600.498259.7028252.087667.0033262.76981KE = KEf-KEiaverage250.6434242.04862.9198858.1 5744-4.762437183Elastic Heavy Int.regular car (g) 506.2plunger car (g) 1000.9v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf20.41200.501294.3059237.555484.9483863.528350.50200.59310.6885245.6916126.115488.104110.32100.466324.3081244.345651.5668754.962180.46200.544337.2292242.4102106.81874.9014P = Pf-Pi0.5100.602354.5463242.5007130.16791.72445-81.714918490.48600.52324.2156242.5007118.204368.43824KE = KEf-KEiaverage324.2156242.5007102.9773.60979-29.36021623Elastic spark Int.regular car (g) 1003.8plunger car (g) 503.3v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf20.56300.309468.8014310.174279.7652547.921910.39600.243495.1158243.923439.4627529.636690.69700.351523.2297352.3338122.253861.834580.55400.296563.0325297.124877.2354143.97447P = Pf-Pi0.59600.343610.7959344.303489.3901159.04803-227.70903110.49300.278532.195279.056461.1632838.78884KE = KEf-KEiaverage532.195 304.48678.2117746.86742-31.34434946For the elastic collision with equal masses the multi removediousness in momentum and kinetic energy is every small. Where as in the other two methods the change in momentum is much larger since the masses where different then the change in kinetic energy.Table 2. inelastic Collision informationInelastic Equal Massregular car (g) 506.2plunger car (g) 503.3v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf20.6220.2920.297313.0526297.30597.3593643.782380.4810.2420.243242.0873244.805258.22229.682930.6190.2890.289311.5427291.745596.4224742.157220.6020.2760.274302.9866277.609691.1989738.17143P = Pf-Pi0.510.2360.237256.683238.748265.4541728.23227-12.988850.5020.2480.249252.6566250.862263.4168131.16993KE = KEf-KEiaverage279.8348266.84678.6789635.5327-43.14626406Inelastic Heavy Int.regular car (g) 506.2plunger car (g) 1000.9v1 (m/2)v1f (m/s)v2f (m/s)PiPi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5 m1vi1 + .v5m2vi20.4950.3220.321319.6722484.78122.622877.968330.5060.3430.342323.0093516.4291128.133288.481030.4970.3170.318336.2746478.2569123.615775.88420.4990.3120.312352.9982470.2152124.612673.35357P = Pf-Pi0.3230.2110.208367.6309316.479552.2114533.23065115.47452160.4860.310.308339.917466.1886118.204372.10332KE = KEf-KEiaverage339.917455.3916111.566770.17019-41.39646683Inelastic Light Int.regular car (g) 1003.8plunger car (g) 503.3v1 (m/2)v1f (m/s)v2f (m/s)PiPi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi20.5750.1810.181480.8526272.785183.2017824.687050.5890.1720.163506.4235250.18787.3026720.779790.5550.1790.183534.182273.786177.5144924.871250.5630.1860.186573.035280.320679.7652526.06982P = Pf-Pi0.3670.1150.113619.6586171.308933.894499.736832-289.8878180.5740.1780.179542.8304269.267682.9126424.05466KE = KEf-KEiaverage542.8304252.942674.0985521.6999-52.3986526For the inelastic collision the change in kinetic energy is much larger then it was in elastic collision. This holds uncoiled for the other all three methods used.Table 3. Explosive Collision DataExplosive Equalregular car (g) 506.2plunger car (g) 503.3v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf200.4820.5030497.20920122.470900.4480.4710463.89860106.624500.4890.5120505.28810126.490100.4380.4690457.85320103.9089P = Pf-Pi00.4780.4920489.62780118.7447488.037883300.5060.5130514.35040131.0292KE = KEf-KEiaverage0488.03790118.2114118.2113751Explosive-Unequalregular car (g) 506.2plunger car (g) 1000.9v1 (m/2)v1f (m/s)v2f (m/s)Pi = m1vi1+ m2 vi2Pf = m1vf1 + m2 vf2Kei = .5m1vi1 + .v5m2vi2Kef= .5m1vf1 + .v5m2vf200.2970.6150608.58030139.872900.340.6180653.13760154.51700.2920.6190605.60060139.648400.3070.6330627.70090148.5813P = Pf-Pi00.2760.5740566.80720121.5127599.357466700.240.5810534.31820114.2626KE = KEf-KEiaverage0599.35750136.3992136.399151For the explosive collision the change in momentum is much larger than in the other two colli sions. There is no initial momentum for this collision since the two carts started together at rest.ConclusionFrom momentum and the kinetic energies calculated from the formulas the different trails were averaged to find the initial and final momentum and kinetic energy for each of the eight conditions. They the change in momentum of the system was calculated for the system by subtracting the final momentum subtraction the initial momentum. This was then done for kinetic energy to find the change in kinetic energy by subtracting final minus initial as well. This produced different values for the different conditions.For the elastic collision the momentum and kinetic energy are supposed to be conserved. As hedge 1 shows, the momentum and kinetic energy for the equal mass carts is very close to zero, much closer than for the other conditions. For the heavier plunger cart, the initial pluck had much more inertia and caused the lighter second car to move much further. This is opposit e in the other conditions where the plunger cart was much light. It had a harder time moving the second heavier cart. The main difference for the change in momentum and kinetic energy for the two unequal mass cart conditions was due to the detail the final velocity for cart one was never measured properly. It was assumed that the velocity was zero when in fact the plunger cart moved slightly after the collision. The assumption was due to careless human error.For the inelastic collision kinetic energy is not conserved. This is evident very much in the results for the change in kinetic energy. There is a much larger value or this change then in the elastic counterpart since the carts stick together and move as one unit. This close interaction allows for the loss of energy as heat. As for the explosive collision, the change in momentum is by far the largest. Since the system start at rest it is entirely potential energy. When the collision happened the carts move apart and become kine tic energy. Since the final momentum is subtracted by an initial momentum of zero, it is obvious why the change is so large.