please show work for how to get both 7 and 8 correct answers! 7. Three objects A

Question

please show work for how to get both 7 and 8 correct answers!

7. Three objects A, B, and C are moving as shown in the figure. The x and y components of the net momentum of all the particles (Po Py) are 5m/s 10kg 5kg 5kg 8m/s 5 m/s (A) (46.7 kgm/s, 12.5 kgm/s) (B) (46.7 kgm/s, 37.5 kgm/s) C)061.7 kgm/s, 37.5 kgm/s) (D) (21.7kgm/s, 12.5 kgm/s) E) (86.6 kgm/s, 50.0 kgm/s) (F) None of the above 8. A 12.0 g bullet fired horizontally with a velocity of 450 m/s went through a 2.00 kg wooden block that was initially at rest on a level frictionless surface. The bullet passes through the wood and emerges with a speed of 200 m/s. The speed of the wooden block after the bullet emerges from it is (A) 750 m/s (B) 0.75 m/s (C) 0.96 m/s )1.5 m/s (E) None ofthese

Explanation / Answer

7) Px= 5*5 cos(30) + 5*8 = 61.65 Kg m/sec

Py = 5*10-5*5*sin(30) = 37.5 Kgm/sec

C ( 61.7,37.5) Kgm/sec (ans)

8) Energy conservation,

0.5*0.012*(450^2 - 200^2) = 0.5*2*V^2

V = 31.22 m/sec (ans)

None of these

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