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# sol ass7 - PROBLEM 13.148 v0 A 20-g bullet is fired into a...

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PROBLEM 13.148 A 20-g bullet is fired into a 4-kg wooden block and becomes embedded in it. Knowing that the block and bullet then move up the smooth incline for 1.2 s before they come to a stop, determine ( a ) the magnitude of the initial velocity of the bullet, ( b ) the magnitude of the impulse of the force exerted by the bullet on the block. SOLUTION Initial impact (Bullet + Block) ( ) 0b l o c k :c o s 3 0 0 BB x mv m m v °+ = + (1) 0 :s i n 3 0 0 B ym v F t −° + = (2) After impact ( )( ) : 4.02 4.02 9.81 1.2 sin15 0 xv = 3.0468 m/s v ′ = From (1) 0 4.02 , 0.02cos30 v v = ( a ) 0 707 m/s v = W Bullet alone ( ) ( ) 0 0.02 707.15 14.143; 0.02 3.0468 0.0609 == 14.09 N s Ft ∆= W v 0

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PROBLEM 13.151 A 75-g ball is projected from a height of 1.6 m with a horizontal velocity of 2 m/s and bounces from a 400-g smooth plate supported by springs. Knowing that the height of the rebound is 0.6 m, determine ( a ) the velocity of the plate immediately after the impact, ( b ) the energy lost due to the impact. SOLUTION Just before impact () 2 1.6 5.603 m/s y vg == Just after impact 20 .
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## This note was uploaded on 11/15/2011 for the course CIVE 281 taught by Professor Prof.v.h.chu during the Spring '10 term at McGill.

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sol ass7 - PROBLEM 13.148 v0 A 20-g bullet is fired into a...

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