You and one of your friends were astronauts on a spaceship which got an infestat
ID: 1624633 • Letter: Y
Question
You and one of your friends were astronauts on a spaceship which got an infestation. After pulling an epic Ripley on the Queen Alien Bitch, you and your friend abandon the stricken spaceship. You take one of alien eggs with you for study. However, after seeing face-huggers mouth-rape your of you wanted to hold it until the rescue ship arrives you played catch with it! Here are the details: Your mass, with spacesuit, M_u = 175kg; your friend's mass, with spacesuit, M_f = 225kg, (I made you the skinny one-you're welcome!); the alien egg's mass, Me = 50kg. Each exo-skeleton-space-suit can apply a force to the egg of 800 N over 0.5 meters for throwing it. You start holding the egg. A) What is the egg's momentum after you first throw it to your friend? B) Your friend catches and throw it back to you and you catch it. At that point what are the momentum of your friend and of you holding the egg? C) Calculate momentum after friend throws it. D) Calculate momentum when you catch it E) Who will be the last one to catch & throw it?Explanation / Answer
Force applied = 800 N
displacement s = 0.5 m
work done = 800*0.5 = 400 J
400 J energy is sahred by the person thrwoing the egg and the egg.
conserving the momentum
M up = m ue up and ue are the velocitites of the person and the egg
M =175 kg and m = 50 kg
conserving the total energy
0,5( 175up2 + 50 ue2) = 400 J
solving the two eq. we get up = 1.0079 m/s
mometum of the person and the egg are equal = 1.0079*175 = 176.38 m/s
whe the friend catches the egg , his moentum is 0
conserving the moemetum agian at the friend,
(225 +50)uf = 176.38
speed of friend and the egg together = 176.38/275 = 0.641 m/s
KE of friend + egg = 0.5*275 *0.6412 = 565.6 J
work done y the spcae suit = 400 J
total energy before throw = 400 +565.6 = 965.6 J
conserving the momentum after friend throws
Mf uf + m ue = 176.38
225 uf + 50 ue = 176.38
conserving the total mechanical energy
0.5*(225 uf2 + 50 ue2 ) = 965.6
solving the two we get
uf = 1.854 m/s and ue = -4.813 m/s
momentum of friend after throw = 225 *1.854 = 417.15 kg-m/s
momentum of the egg = 50 * -4.813 = -240.65 kg-m/s
+ sing is in the direction of first throw,
-ve sign is opposite to the direction of first thorw.
when the first person catches the egg, his momentum = -176.38 kg-m/s
egg momentum = -240.65 kg-m/s
total momentum before catch = -176.38 -240.65 = 417.03 kg-m/s
conserving the momentum:
momentum of the first person after catch = 417.03 kg-m/s
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