U5 Videos FP 6.1.12

Two carts, Cart 1 and Cart 2, are involved in an elastic collision. Cart 1 has twice the mass of Cart 2. Before the collision, Cart 1 moves at 40.9 cm/s, and Cart 2 is stationary. What are the initial masses and velocities of the carts?

• Cart 1: mass = m, velocity = 40.9 cm/s; Cart 2: mass = 2m, velocity = 0 cm/s

• Cart 1: mass = 2m, velocity = 0 cm/s; Cart 2: mass = m, velocity = 40.9 cm/s

• Cart 1: mass = 2m, velocity = 40.9 cm/s; Cart 2: mass = m, velocity = 0 cm/s

• Cart 1: mass = m, velocity = 0 cm/s; Cart 2: mass = 2m, velocity = 40.9 cm/s

In an elastic collision, Cart 1 (mass 2m) initially moves at 40.9 cm/s and collides with a stationary Cart 2 (mass m). After the collision, Cart 1 moves at 13.4 cm/s. Using the principle of conservation of momentum, what is the calculated final speed of Cart 2?

• 27.5 cm/s

• 55.0 cm/s

• 40.9 cm/s

• 13.4 cm/s

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The calculated final speed of Cart 2 after an elastic collision is 55.0 cm/s. An experimental measurement of Cart 2's final speed yields 52.8 cm/s. What is the relative error of the experimental measurement compared to the calculated value?

• 4.00%

• -4.00%

• 4.17%

• -4.17%

For an elastic collision where Cart 1 (mass 2m) initially moves at 40.9 cm/s and Cart 2 (mass m) is at rest, the initial total kinetic energy is 1672.81m. After the collision, Cart 1 moves at 13.4 cm/s and Cart 2 moves at 52.8 cm/s, resulting in a final total kinetic energy of 1573.48m. What percentage of the initial kinetic energy is conserved?

• 100%

• 94.1%

• 5.9%

• 88.2%