Chapter 3 P 3.5 A roller coaster moves 200 ft horizontally and then rises 135 ft at an angle of 30.0° above the horizontal. Next, it travels 135 ft at an coaster's displacement from its starting point to the end of this movement. angle of 40.0° below the horizontal. Use vector math to find the roller P 3.9

Q: One of the following is the vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where…

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Q: tors in a. and b. and its direction using

A: We know that  two vectors a and b are given as  a→ = 50 N  N30°Eb→= 30 N    W15°S Find:-  The…

Q: Find the coordinates of the centroid of the homogeneous plate OPBA shown in Figure Q3.c. The plate…

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Q: Solve for the value of €,.

A: here, option d is correct

Q: 1. A 250 N force pushing a body east and a 200 N force pushing the same body 30° NE.

A: F1 = 250 N towards east F2 = 200 N @30onorth of east

Q: С. 25% D. 0.0075% E. 10% 9. The specific heat of water is 4186 J/kg- C, which is twice higher than…

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Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: While following a treasure map, you start at an old pine tree. You first walk 825 m directly south,…

A: Given that:A→=825 m, southB→=1.25 km or 1250 m, at 30.0° W of NC→=1.00 km or 1000 m, at 40.0° N of E…

Q: SVS is running an outdoor skills competition. The race is made up of three different events that…

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Q: The vector -5.2A has a magnitude of 48 m and points in the positive x direction. Find the x…

A: The vector has given as -5.2A which has magnitude= 48 mAnd the vector is pointing in the positive x…

Q: Given the following vectors: A = 5 m, South B = 7 m, West C = 4 m, North of East D = 9 m, East What…

A: Given data A = 5 m, South B = 7 m, West C = 4 m, North of East D = 9 m, East   now we will plot…

Q: 5. Given: GMm F = r2 mv2 F: 2nr V = T. Solve for v in terms of G, M, and r Solve for v in terms of…

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Q: Two vectors a and b have magnitudes 2√/2 and 9 respectively. Also, a b = 18. Find the angle between…

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Q: What is the vector product of: 2i + k and i + j?

A: The first vector, The second vector,

Q: A disoriented physics professor drives 3.25 km north, then 4.75 km west, and then 1.50 km south. A.…

A: Given:- The disoriented physics professor drives a following distance d1= 3.25 km north d2= 4.75Km…

Q: Indiana Jones is looking for the Ark of the Covenant. He found a box containing the clue of its…

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Q: Leila is in a bicycle road race. In the first leg, she rides 12km from Hague Park to Bluffer’s Park…

A: (a) Draw the diagram of the motion of Leila.

Q: ū u = (5,8) Find the direction angle of u. Enter your answer as an angle in degrees between 0° and…

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Q: Give the negative of the following vectors: A = 2.0 m, north and B = 4.0 m, 30° south of west. N N…

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Q: Consider the two vectors, A = -4.42 i +-2.02 j and B = -1.95 i +-5.54 j. Part (a) What is the…

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Q: You go on a long hike by first walking 25.0 km southeast from your car. You then stop and camp for…

A: Consider the vector diagram for the given motion as follows.

Q: B. Solve for the Resultant vector ( magnitude and direction). Please draw the vectors. 1. 20 N, east…

A: Given :    1) 20 N east and 50 N west    2) 100 N north, 100 N south and 80 N west    3) 50 N at 30°…

Q: Given that the two displacements are: X=(8i+3j-2k)m, Y=(4i-4j+8k)m. I. Find the magnitude 2X-4Y II.…

A: I. The magnitude 2X-4Y is 42.19 m.

Q: Calculate and determine the sign of each vector component. Calculate the x and y-component form for…

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Q: +2uy buz. I

A: GivenA=ax+3azB=5ax+2ay-6az

Q: Imagine a force T, with a magnitude other than 0, which makes an angle of 60° with the vertex Find…

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Q: Position vectors of two particles, A and B are given: A = 3i + 4j + 5k meters B = -4i + 2j - 7k…

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Q: Let A = î - 2ĵ and B = 2î + ĵ. Compute A.B.

A: Given data:: Two vectors A→ = i^ - 2j^B→ =2i^ + j^ Required: The dot vector of A and B vector A→.B→

Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…

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Q: Q3: Express the vector A = 2√3i+ 3√3j-2√2k in the primed triad i'j'k' in which x'y'-axes are rotated…

A: Here,We have,A = 23 i + 33 j - 2 2 k

Q: The magnitude of the cross product between two vectors, one of which has magnitude 2 and another has…

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Q: A sailboat race course consists of four legs, defined by the displacement vectors ...and B.as the…

A: According to the question three vectors are given A=3km B=5.4km and C=5.2km we need to find fourth…

Q: Vector math in physics G12. Let vector B have magnitude 5m and direction 60 degrees measured…

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Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

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Q: Vector A had a magnitude A=4.8 and direction theta = 163.4 degrees measured counterclockwise from…

A: x- component =?

Q: Vector A has a magnitude 28 and points to the east. Vector B has a magnitude 19 and points north. a.…

A: Magnitude of vector A = 28 points to east Magnitude of vector B = 19 and points

Q: Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j,

A: Given:- A = 5i + -8 J  B = 12 i +18 j  Find;- The Dot product  A.B

Q: 4. Nadia walks 4.0 km in one direction and 2.0 km in another direction. However, she ends up only…

A: Given that,s1=4 kms2=2 kms=3 kmangle, θ=?

Q: y 0 30° b a 105° X

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Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

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Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

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Q: B. Solve and graph the following problems. 1. You found a treasure map and it said: Start at the…

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Q: The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through…

A: Introduction: Vectors are the quantity which require both magnitude and direction for its…

Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.