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I am unsure how to proceed with this problem because it is asking for the final velocity of one of the two objects given the initial velocities. This is an inelastic collision not a completely inelastic collision, which means the two objects do not stick together. The book makes a distinction between the two.

If you can give me some hints as how to proceed it would be truly helpful.

A 0.800 kg target slides along the ice at 3.0 m/s [W], when it is hit by a 20.0 g arrow

moving at 260 m/s [N], as part of a show. Find the final velocity of the target after the

inelastic collision.

Given:

let east and north be positive

m

v

m

v

find v

P

m

The question is asking for the final velocity of the target which is find v

This is an

v

v

P

P

If you can give me some hints as how to proceed it would be truly helpful.

**1. Homework Statement**A 0.800 kg target slides along the ice at 3.0 m/s [W], when it is hit by a 20.0 g arrow

moving at 260 m/s [N], as part of a show. Find the final velocity of the target after the

inelastic collision.

Given:

let east and north be positive

m

_{1}= 0.800 kgv

_{1}= 3.0 m/s [W]m

_{2}= 0.0200 kgv

_{2}= 260 m/s [N]find v

_{1f}**2. Homework Equations**P

_{ti}=P_{tf}m

_{1}v_{1i}+ m_{2}v_{2i}= m_{1}v_{1f}+ m_{2}v_{2f}**3. The Attempt at a Solution**The question is asking for the final velocity of the target which is find v

_{1f}This is an

**inelastic collision**, not a**completely inelastic collision**, this means the arrow will not stick to the target.v

_{ix}= -3.0 m/sv

_{iy}= 260 m/sP

_{xi}=(0.8)(-3)=-2.4 NsP

_{yi}=(0.02)(260)=5.2 Ns
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