Why is the following situation impossible? A skater glides along a circular path. She defines a certain point on the circle as her origin. Later on, she passes through a point at which the distance she has traveled along the path from the origin is smaller than the magnitude of her displacement vectorfrom the origin.

Q: SUBH

A: For uniform circular motion only one acceleration acts on the particle, i. e., centripetal…

Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2, V₁-V2, V₁ X V2, V₁ V₂. Consider the…

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Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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Q: Vector a lies in the yz plane 68.0° from the positive direction of the y axis, has a positive z…

A: The magnitude of the vector a is 3.70 m and its direction is 68.0° from the positive direction. The…

Q: segment. Find the magnitude and direction of the resulting (overall) displacement of the plane (a)…

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Q: ctor B in the xy plane has a magnitude of 25.  If it has an x component of 12, what angle does it…

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Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Given data The y coordinate of the plane is given as y = 8.20 x 103 j m. The position vector of the…

Q: Given a= 2i+j, b = i-4j+k and c=j+k, (where i, j and k are unit vectors in x,y and z directions…

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Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: The route followed by a hiker consists of three displacement vectors → A A → , → B B → , and → C C →…

A: The magnitude of vector A: 2140 m The direction of vector A: 21.0° north of east The direction of…

Q: 5: position Of a particle moving in a circular path of radius R is given by the following expression…

A: here the position vector is given byr(t)=R-sinβt2i+cosβt2jv(t)=dr(t)dt=R2βt-cosβt2i-sinβt2j…

Q: Vector A is 6.31 m at an angle of 265.6 degrees. what is the y-componenent of vector A?

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Q: A hiker lost in the woods walks in specific angles in order to find the way out of the woods. Assume…

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Q: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Solution:-

Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

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Q: A particle describes an UCM(uniform circular motion) with period 0.500 s and circle centered at the…

A: Given:            Time period 'T' =0.5s           Initial acceleration  ai =2.3i^ m/s2          ,…

Q: You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course…

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Q: A small plane flies a distance d1 = 32 km in a direction θ1 = 64o north of east and then flies d2 =…

A: Given: Distance d1 =32 km Distance d2 =23 km Angles = 64 degrees and 18 degrees

Q: The route followed by a hiker consists of three displacement vectors Ā, B, and C. Vector A is along…

A: This problem can be solved using basic vector notation formula

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

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Q: An ocean liner leaves New York City and travels 22.4° north of east for 239 km. How far east and how…

A: All physical quantities in this world is classified as either vectors or scalars. Any vector can be…

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: Given Two vectors are given by A = 4.00 i + 7.00 j B = 5.00 i – 3.00 j

Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…

A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…

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: A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of…

A: Given data:  Two displacement vectors d1 = 8.0 km and d2 = 6.0 km Required: The magnitude of maximum…

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: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Concept: As per question draw the schematic diagram of the system. For Part (a) The schematic…

Q: The route followed by a hiker consists of three displacement vectors A,B ,c Cand . Vector  A is…

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Q: *65. ssm Vector A has a magnitude of 6.00 units and points due east. Vector B points due north. (a)…

A: Let x axis be east direction, and y axis be the north direction. Consider the figure

Q: The vector difference between Vectors A and B is 223.606 N, 26.57° N of W or 223 606 N, 63.43° NW.…

A: north of west

Q: Suppose a person walks so that their displacement is represented by a vector that has a magnitude of…

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Q: Solve the problem with illustration.  Given the vectors A = 41+ 8j, B = - 8i + 7j and C = 121 - 10j…

A: Given: The vectors A→ = 4i+ 8j B→ = - 8i + 7j C→ = 12i - 10j To determine the resultant and…

Q: I start walking. The 1st leg of my trip I walk dA =95m at θA=21° south of east. The 2nd leg of my…

A: Given data: The magnitude of the first step vector is dA = 95 m. The angle of the first step vector…

Q: hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her…

A: we have to evaluate the displacement of the hiker from the base camp.

Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of east? O 54.89 m, North O…

A: Given value--- Vector A = 73 cm , 41 degree South of east. We have to find --- x component of A.

Q: A particle is performing uniform circular motion counterclockwise around the origin of an xy…

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Q: one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: A hiking girl needs to go 59.3 km straight North to get to base camp, instead the compass confuses…

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Q: A clever adventurer on a treasure hunt reads the following instructions from his map: Walk 347 m…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.