6-1 lab report

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PHYSICS 10

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Physics

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Dec 6, 2023

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PHY 101L Module Six Lab Report Name: Zachary Prat Date: 10/3/2023 Activity 1: Elastic Collision with Equal Masses Table 1A: Cart A Before Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A 0.0668 kg .35 m .35 s .316 1.10 m/s .29 s .31 s Table 1B: Cart A After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A 0.0668 0.01 .29 .263 0.03 m/s .25 .25 Table 1C: Cart B After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v B 0.07 .5 m .34 s .333 1.50 m/s .32 s .34 s Calculations for Activity 1: Elastic Collision with Equal Masses ? ? ? ? + ? ? ? ? = ? ? ? ? + ? ? ? ? Percent difference = | first value second value first value + second value 2 | x 100% 1. Calculate the momentum of the system before the collision (the left side of the equation) and after the collision (the right side of the equation). .0668 * 1.10 + .070 * 0 = 0.073 .0668 * 1.10 + .070 * 1.50 = 0.073 + .105 = 0.178
2. Calculate the percent difference between the two values. 0.073 - 0.178 = -0.105 0.073 + .178 = 0.251 -0.105/0.251/2 -20.9 % 3. Explain any difference in the values before and after the collision. The loss comes from energy being conserved at the point of collision between the carts. Activity 2: Elastic Collision: Mass Added to Cart A Table 2A: Cart A Before Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A 0.1915 kg .5 m .64 s .62 .806 m/s .63 s .59 s Table 2B: Cart A After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A 0.1915 kg .2 m .40 s .39 .51 m/s .37 s .40 s Table 2C : Cart B After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v B .07 kg .5 m .22 s 0.236 2.18 m/s .25 s .24 s Calculations for Activity 2: Elastic Collision: Mass Added to Cart A Helpful equations : Momentum before the collision = ? ? ? ? + ? ? ? ? Momentum after the collision = ? ? ? ? + ? ? ? ? ? ? ? ? + ? ? ? ? = ? ? ? ? + ? ? ? ? Percent difference = | first value second value first value + second value 2 | × 100% 1. Calculate the momentum of the system before the collision (the left side of the equation) and after the collision (the right side of the equation). .1915 * (.806) + .07 * (0) = 0.154
.1915 * (.51) + .07 * (2.18) = .097 + 0.152 = 0.249 4. Calculate the percent difference between the two values. .154-.249 = -.095 .154+.249 = .406 -.095/.406/2 -11.6 % 5. Explain any difference in the values before and after the collision. Only a slight bit of momentum is lost, as the heavier cart is beter able to transfer its energy through the springs and can shoot the second cart off while only losing minimal energy. Activity 3: Elastic Collision: Mass Added to Cart B Table 3A: Cart A Before Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A .0935 kg .35 m .16 s 0.146 2.397 m/s .13 s .15 s Table 3B: Cart A After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v A .0935 kg -.10 m .28 s .303 -.330 m/s .33 s .30 s Table 3C: Cart B After Collision Cart A mass, m (kg) Distance, d (m) Time, t (s) Average time, t (s) Velocity = d / t (m/s) v B .3323 kg .35 m .67 s .69 .507 m/s .71 s .69 s Calculations for Activity 3: Elastic Collision: Mass Added to Cart B Helpful equations : Momentum before the collision = ? ? ? ? + ? ? ? ? Momentum after the collision = ? ? ? ? + ? ? ? ? ? ? ? ? + ? ? ? ? = ? ? ? ? + ? ? ? ?
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