Scoutmaster Greg and his scout troop are working on their orienteering merit badge. They start at an old stump in the center of a large open meadow. They first march 400 m west. Then they march 1000 m in a direction 42 \deg south of east. They then march 1500 m in a direction 53 \deg north of east. Finally, they march 500 m west. Find their total displacement (magnitude and direction) from the stump. (a) Displacement magnitude: m (\pm 10 m ) (b) Displacement direction (positive angle for north of east, negative for south of east): \deg (\ pm 0.1 \deg)
Scoutmaster Greg and his scout troop are working on their orienteering merit badge. They start at an old stump in the center of a large open meadow. They first march 400 m west. Then they march 1000 m in a direction 42 \deg south of east. They then march 1500 m in a direction 53 \deg north of east. Finally, they march 500 m west. Find their total displacement (magnitude and direction) from the stump. (a) Displacement magnitude: m (\pm 10 m ) (b) Displacement direction (positive angle for north of east, negative for south of east): \deg (\ pm 0.1 \deg)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![Scoutmaster Greg and his scout troop are working
on their orienteering merit badge. They start at an
old stump in the center of a large open meadow.
They first march 400 m west. Then they march
1000 m in a direction 42 \deg south of east. They
then march 1500 m in a direction 53 \deg north of
east. Finally, they march 500 m west. Find their total
displacement (magnitude and direction) from the
stump. (a) Displacement magnitude: m (\pm 10 m
) (b) Displacement direction (positive angle for
north of east, negative for south of east): \deg (\
pm 0.1 \deg)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc635135-1399-4191-8836-6566148834c1%2F4dd50f69-3b0a-42a6-af1d-85b6e4cb82e1%2Fx5930vq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Scoutmaster Greg and his scout troop are working
on their orienteering merit badge. They start at an
old stump in the center of a large open meadow.
They first march 400 m west. Then they march
1000 m in a direction 42 \deg south of east. They
then march 1500 m in a direction 53 \deg north of
east. Finally, they march 500 m west. Find their total
displacement (magnitude and direction) from the
stump. (a) Displacement magnitude: m (\pm 10 m
) (b) Displacement direction (positive angle for
north of east, negative for south of east): \deg (\
pm 0.1 \deg)
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Step 1: Determine the given data and the vector-diagram in the step :
VIEWStep 2: Determine the net displacement vector through diagram as reference in the step :
VIEWStep 3: Determine the magnitude of the net displacement vector in the step :
VIEWStep 4: Determine the direction of the net displacement vector in the step :
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