Eustass, Luffy, and Law were having a casual drink together, when Luffy eagerly asks Eustass to show him a trick using his devil fruit power. Eustass, drunk from the sake, happily obliges, and proceeds to take out some coins. He lays 23 coins on the ground, forming the vertices of a convex regular23-gon with side length 2.3 m. He then sets up the coins such that the 1st coin is always moving towards the 3rd coin, the 3rd coin is always moving towards the 5th coin, and so on. (The 23rd coin moves towards the 2nd coin, and the 22nd coin moves towards the 1st coin). After some time, the coins all converge together, completing the coin trick. If the coins all move with constant velocity 0.23 m/s, find how much time it takes for the coins to converge.

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

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Q: Problem 7: Two vectors in Cartesian coordinates have components A = (3, 2, 3) and B = (4, -1, 7).…

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Q: 8. Find the vector product of two vectors A| = 50 and B| = 20, with an angle %3D between them is…

A: Vector product is defined as- A*B = |A| |B|sin(theta) A*B = 50*20*sin(45)

Q: what are the x, y, and z components of p given the force is 535N

A: Step 1:Step 2:

Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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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: Find the cross product A x C for the following. (Express your answers in vector form.) (a) A = 8.01…

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Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

A: Given thatp→=j-3 kq→=-2 i-j-3 kr→=4 i+j+3 kas s→=p→+q→+r→   =j-3 k+-2 i-j-3 k+4 i+j+3 k…

Q: A huge cannon is assembled on an almost airless planet. The planet has a radius of 5 x 10^6 m and a…

A: Given information: The Radius of the planet (R) = 5 x 106 m The mass of the planet (M) = 2.6 x 1024…

Q: Given the following three vectors: A = -9î+7), B = -61-10) and vector C has a magnitude of, 9 and…

A: Given that, The vectors A and B are A→=-9i^+7j^B→=-6i^-10j^ the magnitude of the vector C is C→=9…

Q: 4. The cross product can also be determined if we know the components of the two vectors involved.…

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Q: Determine the magnitude of the following cross product: ( 11 7 +57 ) X (27 +57)

A: Given: The vectors are 11i+5j and 2i+5j

Q: Problem 5: Suppose a 190 kg motorcycle is heading toward a hill at a speed of 27 m/s. The two wheels…

A: Concept: To determine the height upto which the motorcycle can coast up the hill, we will use then…

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: Consider two vectors à = (1, – 3,0) and B = (0 ,0,7). Let C be their cross product: Č = Ã × В. a)…

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Q: Let vector a = and vector b = . The the cross product of vector a and b.

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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: 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: In 2014, the Rosetta space probe reached the comet Churyumov– Gerasimenko. Although the comet’s core…

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Q: a. Prove the triple product identity Ax(BxC)= B(AC)-C(A.B).

A: