A ferry transports tourists between three islands. It sails from the first island to the second island, 4.76 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 69.0° west of north. Finally it returns to the first island, sailing in a direction 28.0° east of south. Calculate the distance between (a) the second and third islands and (b) the first and third islands.
A ferry transports tourists between three islands. It sails from the first island to the second island, 4.76 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 69.0° west of north. Finally it returns to the first island, sailing in a direction 28.0° east of south. Calculate the distance between (a) the second and third islands and (b) the first and third islands.
Solution Summary: The author explains the distance between the second and third islands.
A ferry transports tourists between three islands. It sails from the first island to the second island, 4.76 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 69.0° west of north. Finally it returns to the first island, sailing in a direction 28.0° east of south. Calculate the distance between (a) the second and third islands and (b) the first and third islands.
In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from the +x direction, and vector C→ has a magnitude of 15.9 m and is angled 24.6° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B→? State your angle as a positive number.
You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West, then 25 m straight east, and finally, 45 m, 75 degrees south of east.
Using component method of vector addition, how far from the well and in what direction is the hidden treasure?
Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points north, and vector C has a magnitude of 5.0 m and points west. The resultant vector A + B +C is given by
Chapter 3 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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