An archer released a 100-g arrow at a velocity of 20 m/sec. It hits its target having a mass of 600 g.With the arrow being embedded in the target,with what velocity does the target move?
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An archer released a 100-g arrow at a velocity of 20 m/sec. It hits its target having a mass of 600 g.With the arrow being embedded in the target,with what velocity does the target move?
0.1kg(20m/sec) + 0.6kg(0 m/sec)=0.7kg(V)
2=0.7kg(V)
V=2/0.7
V=2.85 m/sec
The principle of linear momentum and collision states that the velocity, V, with which two bodies with masses,
and 
, initially moving with velocities, 
and 
respectively is given by 
.
Given:
g, 
m/sec, 
g, 
m/sec.
Thus,
Therefore, the target moves with a velocity of 2.857 m/sec.