Alternative Exercise A target in a shooting gallery consists of a vertical squar

Question

Alternative Exercise A target in a shooting gallery consists of a vertical square wooden board, 0.230 m on a side and with mass 0.730 kg, that pivots on a horizontal axis along its top edge. The board is struck face-on at its center by a bullet with mass 1.70 g that is traveling at 305 m/s and that remains embedded in the board. Part B What maximum height above the equilibrium position does the center of the board reach before starting to swing down again? Mv Answers Give Up Incorrect; Try Again; 4 attempts remaining Part d What minimum bullet speed would be required for the board to swing all the way over after impact? My Answers Give Up Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

Momentum of bullet = M1V1=0.5185 Kg-m/s

Let v2 be velocity of board and bullet afte the collision

Momentum of bullet + board = (M1+M2)v2 = 0.7317* v2

equating both gives v2 =0.7086 m/s

height= v22/2g =0.0256 meters

velocity required for complte roll

height= vR = sqrt(2*9.8*0.230) =2.123 m/s

velocity of bullet =2.123*713.7/1.7 =891.37 m/s

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