An archer shoots an arrow toward a 300 g target that issliding in her direction

Question

An archer shoots an arrow toward a 300 g target that issliding in her direction at a speed of 3.50 m/s on a smooth,slippery surface. The 32.5 g arrow is shot with a speed of35.0 m/s and passes through the target, which is stopped by theimpact.
a)What is the speed of the arrow after passing through thetarget?
An archer shoots an arrow toward a 300 g target that issliding in her direction at a speed of 3.50 m/s on a smooth,slippery surface. The 32.5 g arrow is shot with a speed of35.0 m/s and passes through the target, which is stopped by theimpact.
a)What is the speed of the arrow after passing through thetarget?

Explanation / Answer

An archer shoots an arrow toward a 300 g target that issliding in her direction at a speed of 3.50 m/s on a smooth,slippery surface. The 32.5 g arrow is shot with a speed of35.0 m/s and passes through the target, which is stopped by theimpact.
a)What is the speed of the arrow after passing through thetarget? m1u1+m2u2=(m1+m2)v
so speed after passing through the target=v=m1u1+m2u2/(m1+m2)=(300*3.5+32.5*35)/(300+32.5)
so v= 1050+1137.5/332.5=6.5789m/sec

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