How Far Will the Pendulum Swing After a 250m/s Rifle Bullet Buried Itself?

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mrtkawa
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i need a help on this problem

a 20g rifle bullet traveling 250m/s buries itself in a 3.8kg pendulum hanging on a 2.3m-long string. how far does th ependulum swing horizontally?

Physics 3rd edition Douglas C. Giancoli
 
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also this formuls might be handy

V1=(m+M)/mv'=(m+M)/√2gh

g=gravity
 
The conservation of momentum

[tex](M+m)v=mv_0[/tex]

The conservation of energy

[tex]\frac{1}{2}(M+m)v^2=(M+m)gl(1-\cos\theta)[/tex]

The horizontal displacement

[tex]\Delta x=l\sin\theta[/tex]

Solving the equation will give you the answer[/color]