An archer shoots an arrow toward a 3.00 x 102 - g targetthat is sliding in her direction at a speed of 2.50 m/s on asmooth, slippery surface. The 22.5-g arrow is shot with a speedof 35.0 m/s and passes through the target, which is stoppedby the impact. What is the speed of the arrow after passingthrough the target?

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Asked Dec 18, 2019
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An archer shoots an arrow toward a 3.00 x 102 - g target
that is sliding in her direction at a speed of 2.50 m/s on a
smooth, slippery surface. The 22.5-g arrow is shot with a speed
of 35.0 m/s and passes through the target, which is stopped
by the impact. What is the speed of the arrow after passing
through the target?

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Expert Answer

Step 1

Given,

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Mass of target m, = 300 g =0.3 kg Initial speed of target v,, = 2.50 m/s Mass of arrow m, = 22.5 g = 0.0225 kg Initial speed of arrow v =35.0 m/s

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Step 2

The target is stopped, so the final speed of the tar...

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Pinitial = P final m,v# +M,Vai = m,vf +m,V 0.3×2.5 + 0.0225 × 35 = 0.3 × 0 +0.0225 ×v' 0.75+0.7875 = 0.0225×v 0.0225 ×v = 1.5375 1.5375 Vaf 0.0225 l'af = 68.33 m/s Vof

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