op uedeased c) increased d) can\'t be determined 9. Two balls with masses 3 kg a

Question

op uedeased c) increased d) can't be determined 9. Two balls with masses 3 kg and 2 kg move toward each other, collide head-on and stick together r the collision (the perfectly inelastic collision). Before the collision the 3-kg ball moves with a speed of 5 m/s and the 2-kg ball moves with a speed of 10 m's. Neglect friction. Refer to the figure for problem 9 28) What is the velocity of the balls after the collision? a) -5 m/s a) conserved a) conserved b) 10 m/s b) increased b) increased c) -1 m/s c) decreased c) decreasecd d) 5 mis d) can't be determined d) can't be determined 29) The total momentum in this collision is 30) The total kinetic energy in this collision is

Explanation / Answer

28)

using law of conservation of momentum

initial momentum before collision = Final momentum after the collision

(3*5)-(2*10) = (3+2)*V

V = -1 m/sec

29) the total momentum in this collision is conserved

30) initial kinetic energy of 3 kg = 0.5*3*5^2= 37.5 J

initial kinetic energy of 2 kg = 0.5*2*10^2 = 100 J

total initial kinetic energy is 100+37.5 = 137.5 J

Final total kinetic energy is 0.5*(3+2)*(-1)^2 = 2.5 J

so

The total kinetic energy is decreased

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