Answered: Physics: Unit: Momentum and collisions…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 9.91AP: A 2.00-g particle moving at 8.00 m/s makes a perfectly elastic head-on collision with a resting...

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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)v_i1 + (2m₂ / m₁ + m₂)V_i2
V_f2 = (m₂ – m₁ / m₁ + m₂)v_i2 + (2m₁ / m₁ + m₂)V_i1
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: V_f2 = m₁V_i1 + m₂V_i2 - m₁V_f1 / m₂
c) Determine the maximum compression of the spring
Use this formula : V_f = m₁V_i1 + m₂V_i2 /m₁ + m₂

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