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Activity 1: Elastic Collision with Equal Masses Data Table 1 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) vA 0.051 | 0.50 | Trial 1: 0.31 | 0.330 | 1.515 | | Trial 2: 0.35 | | | | Trial 3: 0.33 | | 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) vA' 0.051 | 0.30 | Trial 1: 0.28 | 0.257 | 1.167 | | Trial 2: 0.24 | | | | Trial 3: 0.25 | | 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) vB' 0.065 | 0.50 | Trial 1: 0.39 | 0.390 | 1.282 | | Trial 2: 0.40 | | | | Trial 3: 0.38 | | Calculations for Activity 1. Elastic Collision with Equal Masses Apply the law of conservation of momentum to the two-cart system by calculating the momentum before and after the collision. Helpful equations: Momentum before the collision = mAvA + mBvB Momentum after the collision = mAvA' + mBvB' mAvA + mBvB = mAvA' + mBvB' 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). • Mass of Cart A before and after collision: mA = • Velocity of Cart A before collision: vA = • Velocity of Cart A after collision: vA' = • Mass of Cart B before and after collision: mB = • Velocity of Cart B before collision: vB = • Velocity of Cart B after collision: vB' = 2. Calculate the percent difference between the two values. 3. Explain any difference in the values before and after the collision.

          Activity 1: Elastic Collision with Equal Masses Data Table 1

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) vA
0.051 | 0.50 | Trial 1: 0.31 | 0.330 | 1.515
| | Trial 2: 0.35 | |
| | Trial 3: 0.33 | |

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) vA'
0.051 | 0.30 | Trial 1: 0.28 | 0.257 | 1.167
| | Trial 2: 0.24 | |
| | Trial 3: 0.25 | |

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) vB'
0.065 | 0.50 | Trial 1: 0.39 | 0.390 | 1.282
| | Trial 2: 0.40 | |
| | Trial 3: 0.38 | |

Calculations for Activity 1. Elastic Collision with Equal Masses
Apply the law of conservation of momentum to the two-cart system by calculating the momentum before and after the collision.

Helpful equations:
Momentum before the collision = mAvA + mBvB
Momentum after the collision = mAvA' + mBvB'
mAvA + mBvB = mAvA' + mBvB'

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).
• Mass of Cart A before and after collision: mA =
• Velocity of Cart A before collision: vA =
• Velocity of Cart A after collision: vA' =
• Mass of Cart B before and after collision: mB =
• Velocity of Cart B before collision: vB =
• Velocity of Cart B after collision: vB' =
2. Calculate the percent difference between the two values.
3. Explain any difference in the values before and after the collision.

Activity 1: Elastic Collision with Equal Masses Data Table 1

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) vA
0.051 | 0.50 | Trial 1: 0.31 | 0.330 | 1.515
| | Trial 2: 0.35 | |
| | Trial 3: 0.33 | |

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) vA'
0.051 | 0.30 | Trial 1: 0.28 | 0.257 | 1.167
| | Trial 2: 0.24 | |
| | Trial 3: 0.25 | |

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) vB'
0.065 | 0.50 | Trial 1: 0.39 | 0.390 | 1.282
| | Trial 2: 0.40 | |
| | Trial 3: 0.38 | |

Calculations for Activity 1. Elastic Collision with Equal Masses
Apply the law of conservation of momentum to the two-cart system by calculating the momentum before and after the collision.

Helpful equations:
Momentum before the collision = mAvA + mBvB
Momentum after the collision = mAvA' + mBvB'
mAvA + mBvB = mAvA' + mBvB'

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).
• Mass of Cart A before and after collision: mA =
• Velocity of Cart A before collision: vA =
• Velocity of Cart A after collision: vA' =
• Mass of Cart B before and after collision: mB =
• Velocity of Cart B before collision: vB =
• Velocity of Cart B after collision: vB' =
2. Calculate the percent difference between the two values.
3. Explain any difference in the values before and after the collision.

Added by Caitlyn K.

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