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Instantaneous Force and Impulse

Four billiard...

Question

Four billiards balls, each of mass 0.5 kg, all are travelling in the same direction on a billiard table, with speeds of 2 m/s, 4 m/s, 8 m/s and 10 m/s. What is the linear momentum of this system?

5 kg-m/s

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10 kg-m/s

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12 kg-m/s

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2 kg-m/s

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Solution

The correct option is C
12 kg-m/s

The linear momentum of a system is simply the sum of the linear momentum of the constituent parts. Thus we only need to find the momentum of each ball :

P = m₁v₁+ m₂v₂ + m₃v₃ + m₄v₄ = 1+2+4+5 = 12

Thus the total momentum of the system is 12 kg-m/s.

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Four billiards balls, each of mass 0.5 kg, all are travelling in the same direction on a billiard table, with speeds of 2 m/s, 4 m/s, 8 m/s and 10 m/s. What is the linear momentum of this system?

The correct option is C 12 kg-m/s The linear momentum of a system is simply the sum of the linear momentum of the constituent parts. Thus we only need to find the momentum of each ball : P = m1v1 + m2v2 + m3v3 + m4v4 = 1+2+4+5 = 12 Thus the total momentum of the system is 12 kg-m/s.