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A 136 kg defensive lineman is about to tackle a 100 kg quarterback. Right before
impact, the lineman is moving north at 6.0 m/s and the quarterback is moving
north at 1.0 m/s. Determine the speed and direction of the two players
immediately after the tackle.

Sagot :

lublana

Answer:

3.88 m/s North

Explanation:

We are given that

[tex]m_1=136kg[/tex]

[tex]m_2=100 kg[/tex]

[tex]v_1=6 m/s[/tex]

[tex]v_2=1m/s[/tex]

We have to find  the speed and direction of the two players

immediately after the tackle.

Using linear conservation of momentum

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

Substitute the values

[tex]136\times 6+100\times 1=(136+100)v[/tex]

[tex]916=236v[/tex]

[tex]v=\frac{916}{236}[/tex]

[tex]v=3.88m/s[/tex]

Direction of  the two players  immediately after the tackle is North.

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