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A 3.5 kg object moving at 8.1 m/s in the positive direction of an x axis has a one-dimensional elastic collision with an object of mass M, initially at rest. After the collision the object of mass M has a velocity of 5.2 m/s in the positive direction of the x axis. What is mass M?

Respuesta :

Answer:

So the mass of the second object M will be 1.951 kg    

Explanation:

We have given mass of the first object [tex]m_1=3.5kg[/tex] and its velocity [tex]v_1=8.1m/sec[/tex]

Mass of the second object [tex]m_2=M[/tex]  it is at rest so its velocity [tex]v_2=0[/tex]

From conservation of momentum we know that

Initial momentum = final momentum

So [tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]

[tex]3.5\times 8.1+M\times 0=(3.5+M)5.2[/tex]

[tex]28.35=18.2+5.2M[/tex]

M = 1.951 kg

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