Conservation of Momentum

Transcription

1 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

2 Fill ut the table belw and determine weather r nt mmentum i cnerved. Ma f cart kg Ma f cart kg Velcity f cart 1 Velcity f cart 2 Velcity f cart 1 Velcity f cart 2 (m/) (m/) (m/) (m/) 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 / 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 t 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 t m Thu:

3 v, [m/] [m] 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 t 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 t m Thu: v, [m/] [m] 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 t 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 t m Thu: v, [m/] [m]

4 ** [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, kg N , Determining the mmentum f Cart 1 the : m 1, kg N , Determining the mmentum f Cart 2 the : m 2, kg N , Determining the ttal mmentum the :

5 n Ttal, i, 1, 2, i1 kgm Ttal, 0 Ttal, Determining the ttal mmentum the : kgm n Ttal, i, 1, 2, i1 kgm Ttal, Ttal, Determining the rati f ttal mmentum (After/Befre): kgm Rati f ttal mmentum Ttal, Ttal, Rati f ttal kgm mmentum kgm Since the rati f the ttal mmentum i nearly eactly 1, thi mean mmentum i cnerved, and the thery hld true.

6 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 kg Ma f cart kg Velcity f cart 1 Velcity f cart 2 Velcity f cart 1 Velcity f cart 2 (m/) (m/) (m/) (m/)

7 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 / 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 t 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 t m Thu: v, [m/] [m] 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 t 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

8 m t m Thu: v, [m/] [m] 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 t 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 t m Thu: v, [m/] [m] ** [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 v1 v2 m v Determining the mmentum f Cart 1 the : We knw that mmentum i given by:

9 mv Uing the velcity we fund frm abve, we can lug everything right int the equatin fr mmentum. m 1, kg N , Determining the mmentum f Cart 1 the : m 1, kg N , Determining the mmentum f Cart 2 the : m 2, kg N , Determining the ttal mmentum the : n Ttal, i, 1, 2, i1 kgm Ttal, 0 Ttal, Determining the ttal mmentum the : kgm

10 n Ttal, i, 1, 2, i1 kgm Ttal, Ttal, Determining the rati f ttal mmentum (After/Befre): kgm Rati f ttal mmentum Ttal, Ttal, Rati f ttal kgm mmentum kgm Since the rati f the ttal mmentum i nearly eactly 1, thi mean mmentum i cnerved, and the thery hld true.