At one instant, the center of mass of a system of two particles is located on th

Question

At one instant, the center of mass of a system of two particles is located on the -axis at = 2.0 and has a velocity of (5.0 ) . One of the particles is at the origin. The other particle has a mass of 0.10 and is at rest on the -axis at = 8.0 .

Part A
What is the mass of the particle at the origin?
Express your answer using two significant figures.
=




Part B
Calculate the total momentum of this system.
Express your answer using two significant figures.
=




Part C
What is the velocity of the particle at the origin?
Express your answer using two significant figures.
=

Explanation / Answer

Given position of centre of mass rc = 2.0

Velocity Vc = 5

Position of m1 =r1= 0

m2 = 0.1 , v2 =0 , r2 =8

Part A

rc*(m1+m2) = m1*r1 +m2*r2 =>2(m1+0.1) = 0.8

=>m1 = 0.3

Part B

Vc(m1+m2) = m1*v1 +m2*v2 = 5(0.4) = 2

Total momentum of system = 2

Part C

Vc(m1+m2) = m1*v1 +m2*v2 = 2

0.3*v1 = 2

v1 = 6.67

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