Problem 5 A military aircraft (1000kg) is chasing a UFO (2000kg). The military a

Question

Problem 5 A military aircraft (1000kg) is chasing a UFO (2000kg). The military aircraft is moving to the right at 300m/s and the UFO is moving to the right at 230m/s. The military aircraft collides with and sticks to the UFO (a)Find the kinetic energy of the system in the zero momentum frame before the collision. (b)What is the velocity of the system after the collision? (c)How fast and in what direction would another aircraft have to travel for the momentum of this system to appear to be zero? (d)What is the momentum of this system in the frame of reference of an aircraft moving 1000m/s to the left?

Explanation / Answer

(A) KE = (1000 x 300^2 / 2) + (2000 x 230^2 / 2)

KEi = 97.9 x 10^6 J

(B) Applying momentum conservation,

(1000 x 300) + (2000 x 230) = (1000 + 2000) vf

vf = 253 m/s

(C) aircraft have to move with 253 m/s to the right

(D) vrel = 1000 + 253 = 1253 m/s

momentum = 3000 x 1253 = 3.76 x 10^6 kg m/s

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