Question

anyone please help me solve the last part to find theortetical of V1 and V2 using the first page type of collision

thank you

4. Cartl has a mass of ml and a velocity of v0. Cart2 has a mass of m2 and is stationary. Cartl then hits cart 2. After the collision, the velocity of cartl is vl and the velocity of cart2 is v2. In any collision, what happens to the m Write an equation for the momentum in the collisions. (Equation 1) .In an inelastic collision, what happen s to the kinetic energy? If the collision is perfectly inelastic, what is true about vl and v2? (Equation 2) Solve equations 1 and 2 for vl and v2 in terms of ml, m2, and vo .In an elastic collision, what happens to the kinetic energy? Write an equation for the kinetic energy a perfectly elastic collision. (Equation ) Solve equations 1 and 3 for vl and v2 in terms of m1, m2, and v0. Solution hints: . Solve equation 1 for vl 2. Substitute v into equation 3 (so the equation no longer has vl in it, only vO and v2). 3. Multiply by the denominator (to get rid of all of the fractions). 4. Expand the square term and cancel s. Solve for v2. 6. Substitute v2 into equation 1 and solve for vi Moment conserved pi pf In an inelastic collision, kinetic energy is not conserved K, different Kr In a complete inelastic collision, final velocity of both has the same Vi-V2 (2) Let Vi-V-V In an elastic collision, kinetic energy is conserved. Ki-kr 1/2mvo1/2mvi21/2m2v2 (3) From equation (1): Substitute Vi in equation (3) 3 and 4 1/2m2V2 1/2miYo2 (cancel) = 1/2m iYo2(cancel) + ½ (m2/m, )*v22 m2VoV2+1/2m2v22 Subtitute the V2 in equation (1) to get Vi .'Il T-Mobile Wi-Fi令 10:52 AM o ...-attachment.googleusercontent.com PART B: COLLISIONS . Label two carts as cart 1 and 2. Do not get the 2 carts mixed up. Measure the cart masses. 2 Connect two Motion Detectors to DIG/SONIC 1 and DIG/SONIC 2 of the interface. Place the detectors at opposite ends of the track 3. Open the file "18 Momentum Energy Coll" from the Physics with Vernier folder 4. Put car 2 in the middle of the track and car 1 near an end with the magnets toward the center 5. Click to begin taking data. 6. Push cart 1 so it rolls toward cart2. Note, depending on your setup cart 1 may be either the red or the blue line. Identify which color line represents each cart. 7. The graphs should be relatively smooth before, during, and On the velocity graph, drag the cursor across a small interval to read the mean value. Repeat for a region after the collision after the collision. If not, repeat. 8. Click the Statistics button Record the initial and final velocities. Keep your regions close 9. Repeat for a second run. 10. Turn the carts so the velcro face one another and record two collisions. DATA 1 (Push) (Ht) 514 kg 14 kg 61 .'Il T-Mobile Wi-Fi令 10:52 ANM o ..attachment.goo gleusercontent.comm 1 (Push) (Ht) 514 kg 14 kg Velocity of cart Exp. Velocity oExp. Velocity of Type collision (vo n(v)collision (v2) 0 0009039 0.09159 0.1108 0197 01925 0.09481 0.1116 Bounce2 02109 ANALYSIS: IMPULSE 1. In each trial, use the mass of the cart and velocities to calculate the change in momentum. 2. Calculate the percent difference between the change in momentum and the impulse. How close are your values? Does your data support the impulse-momentum theorem? ANALYSIS: COLLISION 1. Compare the total initial and final momentum in the collisions. 2. Compare the total initial and final energies. Are the bouncing collisions elastic or inelastic? Explain. Are the sticking collisions elastic or inelastic? Explain. For all 4 runs, use the ml, m2, and v0 to calculate the 3. Compare the theoretical and experimental values for vl and v2. ko-s) 0.1233 0.1025 20.1130 0.09941 30.1206 40.1369 0.009985 0.009524 001410.004600

Answer 1

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