Chapter 01, Problem 51 As preparation for this problem, consult o cen mu a on i

Question

Chapter 01, Problem 51 As preparation for this problem, consult o cen mu a on i on a safari, a team of naturalists sets out toward a research station lo ated·37km anaria direct .. nth of east. After traveling in a straight line for 201 km, they stop and discover that they have been ra eing·n no h o. east as se h ta de m e e hamn s m e n the magnitude and (b) the direction (as a positive angle relative to due east) of the displacement vector now required to bring the team to the research station? (a) Number Units (b) Number Units

Explanation / Answer

location of research station r = 4.37*cos32.7 i + 4.37*sin32.7 j

displacement of naturalist r1 = 2.01*cos6.61 i + 2.01*sin6.61 j

displacement required r2 = ?

r1 + r2 = r

r2 = r - r1

r2 = (4.37*cos32.7 i + 4.37*sin32.7 j) - ( 2.01*cos6.61 i + 2.01*sin6.61 j )

r2 = 1.68 i + 2.13 j

(a)

magnitude = sqrt(1.68^2+2.13^2) = 2.71 km

(b)

direction = tan^-1(2.13/1.68) = 51.7 north of east

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.