LABREPORT7JACKSONMITTON

PART A one cart in motion the other at rest: Cart A (the silver cart) was at rest and cart B (the gold cart) was in motion. Velocity Before Collision (m/s) Velocity After Collision (m/s) Cart A 0.004 0.3065 Cart B 0.3296 0.0028 Respective graph of part A: As you can see, where the purple line curves and approaches a rest velocity (this is cart B), the red line also curves but positively increases and approaches a similar velocity that the purple line was before it decreased (this is cart A). This is the representation of the collision on the graph with the peak transfer of energy of the collision happening when both the red and purple lines intersect. Calculations: A key calculation used throughout this lab is: m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f ( 0.3077 ) ( 0.004 ) + ( 0.3040 ) ( .3296 ) = ( 0.3077 ) ( 0.3065 ) + ( 0.3040 ) ( 0.028 ) → 0.1014 = 0.1028 N To calculate the uncertainty of each velocity, we can use σ √ n (these are given on the graph) adding both initial uncertainties together will get the initial uncertainty of momentum. And doing this with the final uncertainties will get us the final uncertainty of momentum. δ M i = δv 2 i + δ v 1 i = σ √ n + σ √ n = 0.0005 + 0.00009 = ± 0.00059 Newtons δ M f = δv 2 f + δ v 1 f = σ √ n + σ √ n = 0.0027 + 0.0002 = ± 0.0029 Newtons PART B both carts in motion: Velocity Before Collision (m/s) Velocity After Collision (m/s) Cart A -0.1200 0.1130