find p(t) , the x component of the total momentum of the system at time t . express your answer in terms of m1 , m2 , v1(t) , and v2(t) .

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jgjacobgallegos89041 jgjacobgallegos89041

23-11-2022
Physics

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find p(t) , the x component of the total momentum of the system at time t . express your answer in terms of m1 , m2 , v1(t) , and v2(t) .

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AnnuG AnnuG · Answer 1 · 2022-11-27T06:08:15-05:00

The x-component of the total momentum of the system at time t can be expressed as [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex] in terms of m1 , m2 , v1(t) , and v2(t) .

The momentum of the body is represented as the product of its mass and velocity;

p= m×v

Where, m is the mass of a particle and v is its velocity

The momentum of the whole system is the vector sum of individual momentum of all the particles, which can be represented as

[tex]p_{net}[/tex]=[tex]p_{1}[/tex] + [tex]p_{2}[/tex] + [tex]p_{3}[/tex] +...

The X-component of the momentum of the system is:

[tex]p_{net}[/tex] (x) = [tex]m_{1} v_{1}[/tex](t)+ [tex]m_{2} v_{2}[/tex](t)

Hence, the total momentum of the system of particles will be [tex]m_{1} v_{1} (t)+ m_{2} v_{2} (t)[/tex].

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