Two beetles run across flat sand, starting at the same point.Beetle 1 runs 0.50
ID: 1665051 • Letter: T
Question
Two beetles run across flat sand, starting at the same point.Beetle 1 runs 0.50 m due east, then 0.83 mat 28° northof due east. Beetle 2 also makes two runs and the first is 1.6 m at50° east ofdue north. (a) What must be the magnitude of its secondrun if it is to end up at the new location of beetle 1?1 m
(b) In what direction must it run?
2° (counterclockwise from due east)
(a) What must be the magnitude of its secondrun if it is to end up at the new location of beetle 1?
1 m
(b) In what direction must it run?
2° (counterclockwise from due east)
Explanation / Answer
x - east, y - north bettle 1: displacement d1 = 0.50 i + 0.83cos(28) i +0.83sin(28) j = 1.23 i + 0.39 j bettle 2: displacement d2 = 1.6sin(50) i + 1.6cos(50) j+ d = 1.23 i + 1.03 j + d d1 = d2 1.23 i + 0.39 j = 1.23 i + 1.03 j + d d = -0.64 j a) 0.64 m b) 270o