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8. Two billiard balls having the same mass roll toward each other at the same sp

ID: 1884274 • Letter: 8

Question

8. Two billiard balls having the same mass roll toward each other at the same speed. What is the net momentum of the two-ball system? A)0kg·m/s B) 10 kg m/s C) not enough information 39. If a monkey floating in outer space throws his hat away, the hat and the monkey will both move? A) away from each other, but at different speeds. B) away from each other at the same speed. C) a short distance and then slow down. D) a short distance and then gain speed. E) quickly to a stop 40 Freight Car A is moving toward identical Freight Car B that is at rest. When they collide, both freight cars couple together. Compared with the initial speed of Freight Car A, the speed of the coupled freight cars is? A).the same. B).half C)twice. D).None of the above

Explanation / Answer

momentum of second ball P2 = -m*v

total momentum of the system P = P1 + P2 = 0


OPTION (A )


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39)


initial momentum Pinitial = 0

final momentum Pfinal = (M_hat*v_hat) + (M_momkey(v_monkey)

total momentum is conserved


Pinitial = P_final


(M_hat*v_hat) + (M_momkey(v_monkey) = 0


V_hat = -(M_monkey/M_hat)*V_monkey


v_hat and V_monkey are opposite

as M_monkey > M_hat


v_hat is > V_monkey


hat and monkey will both move away from each other , but different speed


OPTION ( A )

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40)


initial momentum P_initial = MA*vA

final momentum P_final = (MA + MB)*V

P_final = P_initial

(MA + MB)*V = MA*vA

MA = MB

V = VA/2

speed of couple freight is half of car A


OPTION ( B )

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