Physics: Unit: Momentum and collisions Dynamic cart 1 has a mass of 0.84 kg and is initially moving at 4.2 m/s (right). Cart 1 undergoes an elastic head –on-collision with dynamic cart. The mass of cart 2 is 0.48 kg, and cart 2 is initially moving at 2.4 m/s (left). The collision is cushioned by a speing with spring constant 8.0 x 103 N/m. a) Calculate the final velocity of each cart after they completely separate Use these two equation for calculating the final velocities of 1 and 2 object Vf1 = (m1 - m2 / m1 + m2)vi1 + (2m2 / m1 + m2)Vi2 Vf2 = (m2 – m1 / m1 + m2)vi2 + (2m1 / m1 + m2)Vi1 b) Determine the compression of the spring during the collision at the moment when cart 1 is moving at 3.0 m/s (right) Use this formula: Vf2 = m1Vi1 + m2Vi2 - m1Vf1 / m2 c) Determine the maximum compression of the spring Use this formula : Vf = m1Vi1 + m2Vi2 /m1 + m2

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Physics: Unit: Momentum and collisions

Dynamic cart 1 has a mass of 0.84 kg and is initially moving at 4.2 m/s (right). Cart 1 undergoes an elastic head –on-collision with dynamic cart. The mass of cart 2 is 0.48 kg, and cart 2 is initially moving at 2.4 m/s (left). The collision is cushioned by a speing with spring constant 8.0 x 103 N/m.
a) Calculate the final velocity of each cart after they completely separate
Use these two equation for calculating the final velocities of 1 and 2 object
Vf1 = (m1 - m2 / m1 + m2)vi1 + (2m2 / m1 + m2)Vi2
Vf2 = (m2 – m1 / m1 + m2)vi2 + (2m1 / m1 + m2)Vi1
b) Determine the compression of the spring during the collision at the moment when cart 1 is moving at 3.0 m/s (right)
Use this formula: Vf2 = m1Vi1 + m2Vi2 - m1Vf1 / m2
c) Determine the maximum compression of the spring
Use this formula : Vf = m1Vi1 + m2Vi2 /m1 + m2

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