Ex. 9: Calculate the work required to be done in moving a body of mass 100 kg from a height (2 R) to height (3 R) above the surface of the earth. (G = 6.67 x 10-11 Nm2 / kg?, mass of earth %3D (m) 6 x 1024 kg, radius of earth R 6400 km). %3D

Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

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Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Convert the point (r, 0, z) = (1, π, - 1) to Cartesian coordinates. Give answers either as…

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Q: The Cartesian coordinates of point P are (- 6.50 m, 8.75 m).   Question 4 The length of P is ......…

A: Given: The co-ordinate of point P = (-6.5 m., 8.75 m.),

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Q: 1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is…

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Q: a-b=0 for two non-zero vectors a and 6. What is the angle between them? Choose 1 answer: 0 KIN k…

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Q: -9 135 45 ) It F₁-1. 15.5-N and F₂-13, 23, 61 N, calculate the following quantities 9F₁. 2-1, 15,5>…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Given  vector M= 4 î + 4 ĵ − 5  and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…

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Q: A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate…

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Q: A mass of 78g is placed on the end of a 5.3cm vertical spring. This causes the spring to extend to…

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Q: mass of 62g is placed on the end of a 3.2cm vertical spring. This causes the spring to extend to…

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Q: Use the definition of scalar product, ?→⋅?→�→⋅�→ = ab cos θ, and the fact that ?→⋅?→�→⋅�→ = axbx +…

A: The objective of the question is to calculate the angle between two vectors using the definition of…

Q: The angle between the vectors that connect ther carbon atom to the hydrogen atoms in the methane…

A: Introduction: A bond angle is an angle formed between three atoms across at least two bonds. For…

Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

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Q: Ex. 13 : Assuming the earth to be a homogeneous sphere, determine the density of the earth from…

A: To find- Density of earth (f) Given- g=9.8 m/s2G=6.673×10-11Nm2/kg2R=6400 km=6400×103 m

Q: The average distance between Earth and the Sun is 1.5 ✕ 1011 m. (a) Calculate the average speed of…

A: According to Newtons's law of gravitation There is always gravitational force between two bodies.…

Q: Problem 11: Part (a) Calculate the value of P, in newtons per square meter. P = ______ Part (b)…

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Q: Compute the dot product of the vectors v and w​, and find the angle between the vectors. v=−10i−j…

A: Given: v→=-10i^-j^w→=-i^-10j^ Required: The dot product between the vectors and the angle between…

Q: If the speed of a vehicle increases by 22%, by what factor does its kinetic energy increase? Kinetic…

A: Given data: The speed of vehicle increases by 22% Required: The increase in kinetic energy

Q: Two points in the xy plane have Cartesian coordinates (6.00, -4.00) m and (-7.00, 7.00) m. (a)…

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Q: The force acting on a particle is given by  F(r) = (A/r2)r̂,  where A is a positive constant. (a)…

A: A variable force F= (A/r2 ) where A is positive

Q: Two points in the xy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine…

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Q: Given the pair of vectors, A = (9.0oî – 2.00ĵ ) and B = (-2.00î + 7.0oj ), use the definition of a…

A: A→ = (9i^ - 2j^) B→ = (-2i^ + 7j^)

Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…

A: Given that:  A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B

Q: A mass of 76g is placed on the end of a 3cm vertical spring. This causes the spring to extend to…

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Q: There are 6 vectors: a, b, c, d, e, f. Simply the following expression: [ a(b . c) X (e . f)d ] X […

A: Given: There are 6 vectors: a, b, c, d, e, f. ‘X’ represents cross-product while ’.‘ represents dot…

Q: The density of the Earth can be expressed by the equation density = C{1.22 -(r/R)}, where R is the…

A: The mass can be represented as, M=∫0RρdV=∫0RC1.22-rR4πr2drM=4πC∫0R1.22r2-r3RdrM=4πC1.22r33-1Rr440R

Q: Question ( Which of the following is a unit vector parallel to the vector? Select one: O None of…

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Q: A mass of 39g is placed on the end of a 4.1cm vertical spring. This causes the spring to extend to…

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Q: What are (a) the x component, (b) they component, and (c) the z component of 7 = à − b + c if à =…

A: It is given that, a→=2.8i^+5.7j^-8.1k^ b→=-4.9i^+4.4j^+3.8k^ c→=1.8i^+2.8j^+4.6k^ and, r→=a→-b→+c→…

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Q: n correctly calodates the length in kilometers and orientation in degrees west of south of km

A: Given: A=4.4 Km θc=24o B=2.48 Km C=3.02 Km

Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has…

A: The vector form of the vector A can be given as, The vector form of the product of the vectors A…

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Q: For this question, can you explain how we get the integral from dFz to Fz. Can you also explain how…

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Q: Problem 1: Suppose A = (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D (-2.48…

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Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Magnitude of A , |A| = 3 Magnitude of B, |B| = 3 Vector product , A x B = -5k + 2i To find = angle…

Q: Two vectors have the following magnitude, A = 8.3 m and B = 10.5 m. Their vector product is: A⨯B =…

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Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…

A: Consider the vectors are:

Q: Suppose A = (-2.28 m)i + (4.92 m)j, B = (2.69 m)i + (-3.81 m)j + (1.48 m)k, and D = (-3.56 m)i +…

A: Angle between vectors D and A is,

Q: A mass of 81.0g is placed on the end of a 4.5cm vertical spring. This causes the spring to extend to…

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Q: 8) Consider two vectors A and B where: A = -6.00 i +3.00j +3.00 k B= 6.00 -8.00j + 4.00 k If we want…

A: a) Calculate the dot product of the vectors.…

Q: 6. Vector A has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two…

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Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

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