Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to

Question

Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions, while Daniel stands still. From Daniel's point of view, Newton runs due North at 4.90 m/s, but from Pauli's point of view, Newton appears to be moving at 1.50 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in terms of the X and Y components if North is the +Y-direction and East is the +X-direction, and then express your answer as a magnitude and an angle measured counter-clockwise from due east. int Calculator ell Pehobic Tablé Question 28 of 29 Sapling Learning Map do Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions, while Daniel stands still. From Daniel's point of view, Newton runs due North at 4.90 m/s, but from Pauli's point of view, Newton appears to be moving.at 1.50 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in terms of the x and y components if North is the +y-direction and East is the +x-direction, and then express your answer as a magnitude and an angle measured counter-clockwise from due East. Number Number x component: m/s y component: m/s Number Number Magnitude & Direction:|| | m/sl@|| ! |counter-clockwise from due East. Previous Give Up & View Solution Check Answer 0 Next -el Exit

Explanation / Answer

velocity of newton wrt to Daniel, vND = 4.90j m/s

velocity of Newton wrt pauli, vNP = 1.50i m/s

velocity of Pauli's wrt to Daniel. = vPD

vNP = vND - vPD

1.50i = 4.90j - vPD

vPD = -1.50i + 4.90j

x - compo = - 1.50 m/s

y - compo = 4.90 m/s

magnitude = sqrt(1.50^2 + 4.90^2) = 5.12 m/s

direction = 180 - tan^-1(4.90/1.50) = 107.02 deg

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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