A mass of 2 kg traveling at 3 m/s undergoes a one-dimensional elastic collision

Question

A mass of 2 kg traveling at 3 m/s undergoes a one-dimensional elastic collision with a group of four 1-kg masses that are at rest in contact with each other and lined up in the same direction as the velocity of the 2-kg mass. As a result of the collision

A) the 2-kg mass comes to a stop and two of the 1-kg masses take off at 3 m/s.

B) the 2-kg mass comes to a stop and one of the 1-kg masses takes off at 6 m/s.

C ) the 2-kg mass and the five other masses travel at 1 m/s.

D) the 2-kg mass comes to a stop and all four of the 1-kg masses take off at 2 m/s.

E) the 2-kg mass comes to a stop and three of the 1-kg masses take off at 2 m/s.

Explanation / Answer

KE before collision Ki = 0.5*2*3^2 = 9 J

A))

KE after collision

Kf = 0.5*2*1*3^2 = 9 J

B)

KE after collision

Kf = 0.5*1*1*6^2 = 18 J

C)

KE after collision

Kf = 0.5*6*1^2 = 3 J

(D)

KE after collision

Kf = 0.5*4*2^2 = 8 J

E)

Kf = 0.5*3*1*2^2 = 6 J

In an eleastic collision KE before collision = KE after collision

correct answer option (A)

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