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A 1.25kg duck is initially flying due west at 13.5m/s. A 16.0g bullet moving at

ID: 2262176 • Letter: A

Question

A 1.25kg duck is initially flying due west at 13.5m/s. A 16.0g bullet moving at 350.0m/s strikes the duck at 33.0 deg from the horizontal, as shown. the bullet remains lodged in the duck after being stricken.

(a) determine the final velocity and direction of the duck after the ordeal.

(b) determine the maximum height of the duck due to the ordeal.




A 1.25kg duck is initially flying due west at 13.5m/s. A 16.0g bullet moving at 350.0m/s strikes the duck at 33.0 deg from the horizontal, as shown. the bullet remains lodged in the duck after being stricken. determine the final velocity and direction of the duck after the ordeal. determine the maximum height of the duck due to the ordeal.

Explanation / Answer

Momentum of bullet = 0.016 * 350*(cos 33 i + sin 33 j)

Momentum of Bird = -1.25 * 13.5 i

Total momentum = -12.175 i + 3.05 j

Final velocity = Momentum / total mass = -9.617 i + 2.41j m/s

Speed = 9.9 m/s ; Direction = 14 degree with x axis in negative direction

b) s = u*u/2g = 2.41*2.41/2*9.81 = 0.296 m