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Recitation Worksheet L Solutions

# Recitation Worksheet L Solutions - Worksheet L Linear...

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Worksheet L: Linear momentum; center of mass 1. A big, fat asteroid floats happily in space unaware that another asteroid of mass m = 200 kg is heading towards it at 150 m/s. The big asteroid is initially at rest. The collision breaks the big asteroid in two pieces of mass M = 500 kg that come out in the directions indicated in the figure. The incident asteroid bounces back at an angle as shown in the figure, at 50 m/s. Find the speeds v 1 and v 2 of the two pieces of the big asteroid. Conservation of linear momentum in the x and y directions: 02 3 13 : sin30 0 cos30 xm v M v m v yM v m v =− ° ° (where v 0 = 150 m/s and v 3 = 50 m/s) From the first equation: () 20 3 200 kg 150 m/s 50 m/s sin30 500 kg 70 m/s m vv v M =+ ° = = From the second equation 200 kg (50 m/s)cos30 500 kg 17 m/s m M = ° = 30 ° M M m v 1 v 2 50 m/s 2 M m 150 m/s Before… After…

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(Worksheet L) 2 . Romeo (77 kg) sits in the left end of a 2.7 m-long boat (80 kg) that floats still at some distance from the shore and plays a romantic song with his guitar to Juliet (55 kg), who sits in the right end. After the serenade, Juliet carefully moves to Romeo’s side to plant a
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Recitation Worksheet L Solutions - Worksheet L Linear...

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