Question

As shown in the figure below, we have three air carts (labeled #1, #2, and #3) on an air track. The carts are equipped with spring bumpers so that all collisions are elastic. The masses of the carts are m1 = 6m, m2 = 3m, and m3 = m. Initially, cart #1 is given a velocity to the right of magnitude v0 and the other carts are at rest. Determine the following: (a) final speed of each cart (Indicate the direction with the sign of your answer.) cart #1 v0 cart #2 v0 cart #3 v0 (b) ratio of the total kinetic energy before any collision to the total kinetic energy after all collisions Ki / Kf =

          As shown in the figure below, we have three air carts (labeled #1, #2, and #3) on an air track. The carts are equipped with spring bumpers so that all collisions are elastic. The masses of the carts are m1 = 6m, m2 = 3m, and m3 = m. Initially, cart #1 is given a velocity to the right of magnitude v0 and the other carts are at rest. Determine the following:
(a) final speed of each cart (Indicate the direction with the sign of your answer.)
cart #1 v0
cart #2 v0
cart #3 v0
(b) ratio of the total kinetic energy before any collision to the total kinetic energy after all collisions
Ki / Kf =

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As shown in the figure below, we have three air carts (labeled #1, #2, and #3) on an air track. The carts are equipped with spring bumpers so that all collisions are elastic. The masses of the carts are m1 = 6m, m2 = 3m, and m3 = m. Initially, cart #1 is given a velocity to the right of magnitude v0 and the other carts are at rest. Determine the following:
(a) final speed of each cart (Indicate the direction with the sign of your answer.)
cart #1 v0
cart #2 v0
cart #3 v0
(b) ratio of the total kinetic energy before any collision to the total kinetic energy after all collisions
Ki / Kf =

Added by Renee B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

02/22/2023

Step 1

First, cart #1 collides with cart #2. Since the collision is elastic, we can use the conservation of momentum and the conservation of kinetic energy to find the final velocities of carts #1 and #2 after the collision. Conservation of momentum: $m_1v_1 + m_2v_2 = Show more…

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As shown in the figure below, we have three air carts (labeled #1, #2, and #3) on an air track. The carts are equipped with spring bumpers so that all collisions are elastic. The masses of the carts are m1 = 6m, m2 = 3m, and m3 = m. Initially, cart #1 is given a velocity to the right of magnitude v0 and the other carts are at rest. Determine the following: (a) final speed of each cart (Indicate the direction with the sign of your answer.) cart #1 cart #2 cart #3 (b) ratio of the total kinetic energy before any collision to the total kinetic energy after all collisions

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