In an ballistics demonstration a police officer fires a bullet of mass 50.0g with speed 200m/s on soft plywood of thickness 2.00cm.the bullet emerges with only 10% of its initial kinetic energy. what is the emergent speed of the bullet?
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1/2 mv2 =0.1(KE)
=0.1 1/2 mu 2
1/2 ×50×10 −3 u 2 =0.1×[ 1/2 ×50×10 −3 ×20 2 ]
u 2 =0.1×200 2
u=20 ✓10
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Answered by
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Answer:
Given:
m=50 g, u=200 m/s, t=2 cm
InitialKE=
2
1
mu
2
=
2
1
×
1000
50
×400×10
2
=1000 kg−m/s
2
FinalKE=
10
1
(InitialKE)=
10
1
×1000=100 kg−m/s
2
∴
2
1
mv
2
=100⟶
2
1
×
1000
50
v
2
=100
v
2
=40×100⟶v=20
10
m/s
Explanation:
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