Question

In the Earth reference frame, a 150-kg probe travels at 0.860c0 while a 250-kg probe travels...

In the Earth reference frame, a 150-kg probe travels at 0.860c0 while a 250-kg probe travels at 0.355c0 in the opposite direction.

a) What is the speed of the 150-kg probe in the zero-momentum reference frame?

b) What is the speed of the 250-kg probe in the zero-momentum reference frame?

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Answer #1

Answer-a)  zero-momentum reference frame of a system is the unique inertial frame in which the total momentum of the system vanishes.The center of momentum frame is defined as the inertial frame in which the sum over the linear momentum of each particle vanishes. Let S denote the laboratory reference system and S? denote the center-of-momentum reference frame. Using a galilean transformation, the particle velocity in S? is-

a) speed of 150kg probe in the zero-momentum reference frame , Vc=0 ,so speed of the 150-kg

V'1=0.860C

b)speed of the 250-kg probe in the zero-momentum reference frame, as Vc=0

V'2=0.355c

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