Two cars collide at an icy intersection and stick together afterward. The first car has a...

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Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1200 kg and is approaching

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Answer 1

Answer #1

a)

using conservation of momentum

m1 v1 + m2 v2 = ( m1 + m2) v

- 850* 17 i - 1200* 8 j = ( 850 + 1200) v

v = - 7.05 i - 4.683 j

magnitude

v = 8.4635 m/s

direction

x = arctan ( 4.683 / 7.05) = 33.5943 South of west

==========

b)

kE = 0.5 m1 v1^2 + 0.5 m2 v2^2 - 0.5* ( m1 + m2) v^2

kE = 0.5* 1200* 8^2 + 0.5* 850* 17^2 - 0.5* ( 1200 + 850)* 8.4635^2

kE = 87803.4 J

===========

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