Answer to Question #153372 in Classical Mechanics for harry mcqueen

Question

What is the velocity of the boat if the passenger shoots at an angle 60 with horizontal?The mass of the boat with the passengers is 100kg, mass of the bullet is 35g and its velocity is 400m/s

Answer 1

$v=400 ~\frac ms,$

$M=100 ~kg,$

$m=0.035 ~kg.$

$0=v_xm-u(M-m),$

$v_x=vcos60°,$

$u=\frac{vmcos60°}{M-m}=70~\frac{sm}{s}.$