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An archer shoots an 0.4kg arrow with a velocity of +98.00 m/s at a 4.50kg target

An archer shoots an 0.4kg arrow with a velocity of +98.00 m/s at a 4.50kg target. Just before impact, the target was moving toward the archer with at 6.00m/s. The arrow then strikes the target and exits with a velocity of +50.00 m/s. 

(a)What is the final velocity of the target after impact? 

(b)What is the minimum amount of kinetic energy required to conserve the momentum of the system? 

(c)What is the velocity of the zero momentum frame, vem, for this system? 

(d)Using image.png, find the center of mass kinetic energy of the system 

(e)How much kinetic energy is lost to other forms of energy in this collision? 

(f)Where does this lost kinetic energy go? 

(g)Find the kinetic energy for the system in the zero momentum frame before the collision. 

(h)What are the upper and lower limits on how much kinetic energy can be converted to other forms for this system for inelastic collisions? (i)What is the coefficient of restitution for this collision?

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