Question

DIRECTIONS: Work the problem. You must show all work to receive credit, and you must return this sheet. Be sure to explain carefully your answers and show your work in a neat and organized manner. The problem is worth 20 points Two students studying one-dimensional collisions obtained the graph shown below for the position versus time of the projectile cart and the target cart. The projectile cart and the target cart did not stick together after the collision. Do not assume that the collision is elastic. In your equations, please use the following notation. mpmass of projectile cart, mmass of target cart, ypi velocity of projectile cart before the collision, vpf velocity of projectile cart after the collision, v velocity of target cart before the collision, and=velocity of target cart after the collision. (a) Write the symbolic expression for conservation of momentum for this situation. (b) Calculate the velocity of the projectile cart before the collision. (c) Calculate the velocity of the target cart before the collision. (d) Calculate the velocity of the projectile cart after the collision. (e) Calculate the velocity of the target cart after the collision. (f) Calculate the ratio of the mass of the target cart to the mass of the projectile cart. position versus time 100.0 a d 80.0 target Jo target 60.0 40.0 projectile projectile YX 20.0 0.0 0.00 4.00 5.00 2.00 3.00 time (s) 1.00 position (cm)

Answer 1

Here I am uploading the images of the solutions.

I would like to inform you to follow the steps which I used in solution:

1 Figure out the magnitude velocities with the help of graph as we know v= delta (s)/delta(t)

2 taking right-wards +ve direction & left-wards -ve.

3 Equation of momentum conservation

4 velocities with sign

5 Find out the desired ratio

i Targos ... Po Djo Position (cm) : IK 44 - :: Timis; 5 given in the question, ..mp= mais of projective ...maa. mars of target sikie of position time graph gives nebacity: :: . 32-0. . ..^7 cmis borun -=0.5cm's 3.2-0 3 44-26. .5-372 . 1.8 . . . . . . . Loic HTML ' lol . . ... Zoom is

. As there is no external : ... gmilye: -). L= 0 . = o p =0 => pos.p. - Linear momentum conservation.. : Pi= mit mp pi :: Pg 2 m, ty + mp upj :) I using equation o r ......Target brojuhile. . . . . . . Vb e itko . . .o . . farges . . . . .projectile : Taking righwards the direction, ki = 7 cm/s f = 10 m/s : V -5 om, Voyz-20cm. putting the values to get msl mp ratio me xE5) + mp *7 = M**2014 mbx 10 ::: (20-5) mp3:17.mp ::: : mo ..17 mi .- 5 . . . .