a bullet of mass 10g travelling horizontally with a velocity 150ms to the power-1 strikes a stationary wooden blog and comes to rest in 0.03s. calculate the distance of penetration of bullet. also calculate magnitude of force
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Explanation:
M=0.01Kg
u=150m/s
v=0
t=0.03s
since it is decelerating
a=v-u/t
a=0-150/0.03
a=(-150)/0.03=(-5000)m/s²
so the bullet is coming to rest it will apply a
negative force to the plank
and the plank will apply a positive resistance
to the bullet by newtons third law of motion
-F(A,B)=+F(B,A)
where A is the bullet abd B is the plank
So
F=ma=5000×10/1000=50N resistance force by
the plank
distance travelled =
v²=u²+2as
0²=150²-2×5000×s
2×5000×s=150×150
S=2.25m
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