My Notes Ask Your Two blocks of massesandare each released from rest at a height

Question

My Notes Ask Your Two blocks of massesandare each released from rest at a height f.... on a frictionless track, as shown in the figure below, an undergo an elastic head-on collision. (Let the positive direction point to the right. Indicate the direction with the sign of your answer.) (a) Determine the velocity of each block just before the collision. m/s m/s (b) Determine the velocity of each block immediately after the collision. m/s m/s (c) Determine the maximum heights to which and , rise after the collision. Need Help?u Strnt Answer j SaveProgress

Explanation / Answer

(A) APplying energy conservation to find speed at bottom,.

m g h = m v^2 /2

v= sqrt(2 x9.8 x 5.60) =10.5 m/s

Velocities,

v1i = + 10.5 m/s

v2i = - 10.5 m/s

(B) for elastic collision,

velocity of approach = velocity of separation

10.5 + 10.5 = v2 + v1

v2 = 21 - v1

Applying momentum conservation for collision,

(2.50 x 10.5) + (5 x - 10.5) = - 2.50 v1 + 5 v2

- 26.25 = - 2.50v1 - 5 v1 + 105

v1 = 17.5 m/s

v2 = 3.5 m/s

v1f = - 17.5 m/s

v2f = + 3.5 m/s

(C) y1f = v^2 / 2g = (17.5^2 )/(2 x 9.8) = 15.6 m

y2f = 0.625 m

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