Cnervatin f Mmentum PES 1150 Prelab Quetin Name: Lab Statin: 003 ** Diclaimer: Thi re-lab i nt t be cied, in whle r in art, unle a rer reference i made a t the urce. (It i trngly recmmended that yu ue thi dcument nly t generate idea, r a a reference t elain cmle hyic neceary fr cmletin f yur wrk.) Cying f the cntent f thi web ite and turning in the material a riginal material i lagiarim and will reult in eriu cnequence a determined by yur intructr. Thee cnequence may include a failing grade fr the articular re-lab r a failing grade fr the entire emeter, at the dicretin f yur intructr. ** Elatic Clliin Cnider a head-n between tw cart. One i initially at ret and the ther mve tward it. The cart bunce ff each ther in an elatic. Clliin
Fill ut the table belw and determine weather r nt mmentum i cnerved. Ma f cart 1 0.510 kg Ma f cart 2 0.498 kg Velcity f cart 1 Velcity f cart 2 Velcity f cart 1 Velcity f cart 2 (m/) (m/) (m/) (m/) 0.3475 0 0.000434 5 0.3578 Mmentum f cart 1 Mmentum f cart 2 Mmentum f cart 1 Mmentum f cart 2 Ttal mmentum Ttal mmentum (kg m/) (kg m/) (kg m/) (kg m/) (kg m/) (kg m/) 0.177225 0 0.0002215 95 0.1781844 0.177225 0.1784059 95 Rati f ttal mmentum / 1.0067 Shw yur wrk here Determining the velcity f Cart 1 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 1 (red line) the : m itin 1 0.3475 t 0. 3430m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t m 0.3475 t 0. 3430m Thu:
v, [m/] [m] 0.3475-0.3430 Determining the velcity f Cart 1 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 1 (red line) the : m itin 1 0.0004345 t 0. 2648m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t m 0.0004345 t 0. 2648m Thu: v, [m/] [m] 0.0004345 0.2648 Determining the velcity f Cart 2 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 2 (blue line) the : m itin 2 0.3578 t 0. 6243m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t m 0.3578 t 0. 6243m Thu: v, [m/] [m]
0.3578 0.6243 ** [NOTE: By eamining the etu f the ytem (ee cmment abve), we can ee that the ecnd enr will recrd a negative velcity tward the enr fr cart 2. We then mut change it ign t cmenate fr the directin the cart i actually mving. Recall that a velcity i bth a magnitude and directin bth mut be carefully cnidered when analyzing mmentum rblem.] ** Determining the mmentum f Cart 1 the : We knw that mmentum i given by: mv Uing the velcity we fund frm abve, we can lug everything right int the equatin fr mmentum. m 1, 177225 0.510 kg 0.3475 0. N 0. 177225 1, Determining the mmentum f Cart 1 the : m 1, 000221595 0.510 kg 0.0004345 0. N 0. 000221595 1, Determining the mmentum f Cart 2 the : m 2, 1781844 0.498 kg 0.3578 0. N 0. 1781844 2, Determining the ttal mmentum the :
n Ttal, i, 1, 2, i1 kgm 0.177225 Ttal, 0 Ttal, 0. 177225 Determining the ttal mmentum the : kgm n Ttal, i, 1, 2, i1 kgm Ttal, 0.000221595 0. 1781844 Ttal, 0. 178405995 Determining the rati f ttal mmentum (After/Befre): kgm Rati f ttal mmentum Ttal, Ttal, Rati f ttal kgm 0.178405995 mmentum kgm 0.177225 1.0067 Since the rati f the ttal mmentum i nearly eactly 1, thi mean mmentum i cnerved, and the thery hld true.
Inelatic Clliin Cnider a head-n between tw cart. One i initially at ret and the ther mve tward it. The cart tick t each ther in an inelatic. Clliin The cart tick tgether fr bet reult average the final velcitie. Fill ut the table belw and determine weather r nt mmentum i cnerved. Ma f cart 1 0.510 kg Ma f cart 2 0.498 kg Velcity f cart 1 Velcity f cart 2 Velcity f cart 1 Velcity f cart 2 (m/) (m/) (m/) (m/) 0.3893 0 0.18865 0.18865
Mmentum f cart 1 Mmentum f cart 2 Mmentum f cart 1 Mmentum f cart 2 Ttal mmentum Ttal mmentum (kg m/) (kg m/) (kg m/) (kg m/) (kg m/) (kg m/) Rati f ttal mmentum / 0.198543 0 0.0962115 0.0939477 0.198543 0.1901592 0.95777 Shw yur wrk here Determining the velcity f Cart 1 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 1 (red line) the : m itin 1 0.3893 t 0. 3021m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t m 0.3893 t 0. 3021m Thu: v, [m/] [m] 0.3893-0.3021 Determining the velcity f Cart 1 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 1 (red line) the : m itin 1 0.1869 t 0. 003447 m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t
m 0.1869 t 0. 003447 m Thu: v, [m/] [m] 0.1869-0.003447 Determining the velcity f Cart 2 the : Uing the bet fit line frm Lgger Pr, we are given the fllwing equatin fr Cart 2 (blue line) the : m itin 2 0.1904 t 0. 2773m If we cmare the equatin fr kinematic 2D mtin fr the -itin with the fund trendline, we can eaily ee by evaluatin that the fllwing cntant crrelate directly: v, t m 0.1904 t 0. 2773m Thu: v, [m/] [m] 0.1904 0.2773 ** [NOTE: By eamining the etu f the ytem (ee cmment abve), we can ee that the ecnd enr will recrd a negative velcity tward the enr fr cart 2. We then mut change it ign t cmenate fr the directin the cart i actually mving. Recall that a velcity i bth a magnitude and directin bth mut be carefully cnidered when analyzing mmentum rblem.] ** Determining the average velcity f the tw cart the : m m 0.1869 0.1904 v1 v2 m v 0. 18865 2 2 Determining the mmentum f Cart 1 the : We knw that mmentum i given by:
mv Uing the velcity we fund frm abve, we can lug everything right int the equatin fr mmentum. m 1, 198543 0.510 kg 0.3893 0. N 0. 198543 1, Determining the mmentum f Cart 1 the : m 1, 0962115 0.510 kg 0.18865 0. N 0. 0962115 1, Determining the mmentum f Cart 2 the : m 2, 0939477 0.498 kg 0.18865 0. N 0. 0939477 2, Determining the ttal mmentum the : n Ttal, i, 1, 2, i1 kgm 0.198543 Ttal, 0 Ttal, 0. 198543 Determining the ttal mmentum the : kgm
n Ttal, i, 1, 2, i1 kgm Ttal, 0.0962115 0. 0939477 Ttal, 0. 1901592 Determining the rati f ttal mmentum (After/Befre): kgm Rati f ttal mmentum Ttal, Ttal, Rati f ttal kgm 0.1901592 mmentum kgm 0.198543 0.95777 Since the rati f the ttal mmentum i nearly eactly 1, thi mean mmentum i cnerved, and the thery hld true.