Question

PART 4: Collisions where the carts make contact but do not stick together 0.250 kg 0.250 kg 0.487 m/s 0.090 m/s Trial 7: In this part we will have the magnets of the blue Both carts same mass cart face the Velcro of the red cart. Because there are no magnets on the Velcro side of the red cart, we'll end up with the plastic of the blue cart hitting Total mass mb of blue cart the Velcro of the red cart. Total mass m of red cart We'll do only one trial in this part, and the carts will not have any additional weights on it. Velocity Vbi of the blue cart before the collision As always, first check that the motion sensors are tightly connected to the track. Velocity vi of the red cart before the collision 0 m/s Place the red cart in the center of the track (its left Velocity Vb of the blue side at the 60-cm mark), with the Velcro side cart after the collision toward the left. Place the blue cart 10 cm from the left sensor, with its Velcro side also toward the left. Velocity vrf of the red cart after the collision 0.376 m/s When you're ready, press the RECORD button and then push the blue cart as you did in the previous Total momentum p; of both kg m/s carts before the collision parts. Total momentum prof both kg m/s Measure the slopes to determine the velocities and carts after the collision record these in Table 3 on the right. Then calculate the total initial and final momenta, and their ratio. Ratio pp/P; of the total TYPE ANSWER HERE momentum Finally do the same for the kinetic energy. Total kinetic energy K TYPE ANSWER HERE before the collision J QUESTION 13: Considering Table 3, can you say Total kinetic energy Kf TYPE ANSWER HERE that momentum conserved in this collision? after the collision J Ratio K/K of the total TYPE ANSWER HERE kinetic energies Table 3: Measurements and calculations for the collision where the carts make contact but don't stick together. QUESTION 14: Considering the results of Table 3, is kinetic energy conserved in this collision? QUESTION 15: What type of collision do the carts experience in this situation? 10

Answer 1

2 In the question, there are two evets reed denoted by 'i and blue, derrated ley 'l'e outo one which ave another via was mal magnetic mie colliding onto lumpurs. Red eart stationary Enitially and moving with different velocities. vei ver=0 the lelue cart was y initial Don vleg Tag mass mee mass me caret velocities reed eauet has and leluco eart has final #terial 7 Let the initial and final velocity of reed before and after collision be Veea and usly respectively, simelarely initial and final and Vle are Vilea and of lelue caret Oleg Let the initial and final momentum of the system by be and pop energis be Pg = my bag + me ved å lks / mello) + m bo 1 mete 2 + 1 ml (bog)? Ime (of) ² These expressions are used to fill of the talele is encl. and kinetic olpe a Me Ola + me vlei 9 ki and Kg 9 - Kg

File Home Insert Page Layout Formulas Data Review View Help Tell me what you want to do A Share Σ AutoSum - Calibri 11 A ab Wrap Text General y o HH Fill - Paste BI U HIH % ) Merge & Center €0.00 .00.0 Insert Delete Format Clear Conditional Format as Cell Formatting Table Styles Styles Sort & Find & Filter - Select Editing Clipboard Font Alignment Number Cells F2 A B С D E F G Trial 7: Both carts 1 same mass Total mass m_b of blue cart (Kg) 2 0.25 0.25 0.487 0 3 Total mass m_r of red cart (Kg) Velocity v_b,i of the blue cart 4 before the collision (m/s) Velocity v_r,i of the red cart 5 before the collision (m/s) Velocity v_b,f of the blue cart 6 after the collision (m/s) Velocity v_r,f of the red cart 7 after the collision (m/s) Total momentum p_i of both carts before the collision 8 (Kg.m/s) Total momentum p_f of both 0.09 0.376 0.12175

File Home Insert Page Layout Formulas Data Review View Help Tell me what you want to do & Share F17 fx B с D E F G 0.376 A Velocity v_r,f of the red cart 7 after the collision (m/s) Total momentum p_i of both carts before the collision 8 (Kg.m/s) Total momentum p_f of both 9 carts after the collision(Kg.m/s) 0.12175 0.1165 Ratio p_f/p_i of the total momentum Question 13: Considering the ratio of final to initial momentum of the system, we observe that final momentum is 95.68789% of the initial momentum. So, we conclude that momentum is conserved in the collision. 10 0.95687885 % p_f of p_i 95.68789 Total kinetic energy K_i of both carts before the collision (1) 11 0.029646125 Total kinetic energy K_f of both carts after the collision (1) 12 0.0186845 Ratio K_f/K_i of the total kinetic 13 energy 14 Question 14: Considering the ratio of final to initial total kinetic energy of the system, we observe that final kinetic energy is 63.0251% of the initial kinetic energy. So, we conclude that energy is not conserved in the collision. 0.630251002 % K_f of K_j 63.0251 15 Question 15: On the basis of answer to Q13 and Q14, we observe that although total momentum of the system before and after collision is conserved, total kinetic energy is not; rather some amount of energy is lost and final kinetic energy is smaller than the initial one (K_f<K_i). So, we conclude that the collision is inelastic (not perfectly inelactic, since the carts do not stick together after collision). 16 17 Sheet1 Ready 100%