Chapter 9: 7. Two children of mass 20.0 kg and 30.0 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 4.00 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? 1.2 m 2.4 m 0.6 m 1.8 m Listen Chapter 10: 5. With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s. What is its angular acceleration in rad/ S $2

Q: Vector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value…

A: The objective of the question is to find the value of vector s given that the sum of vectors v, w,…

Q: Find a unit vector with a magnitude of 1 that points in the same direction as the vector…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: vector has a magnitude of 72 and a direction of 56°. A second vector has a magnitude of 51 and a…

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Q: Starting from one oasis, a camel walks 45 km in a direction 30° south of west and then walks 20 km…

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Q: A vector, V, has a magnitude of 3.60m and points at an angle of 27.0° to the left of the y- axis.…

A: Given:           magnitude of vector v= 3.6m            angle ,                       θ=270

Q: Let A = (25 m)i + (45 m)/ and B = (-25 m)ỉ + (45 m)j . The angle between these two vectors is: A)…

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Q: Vector A has x, y, and z components given by 7, 2, and 5 units.  What is the angle the vector makes…

A: Given Ax = 7 units Ay = 2 units Az = 5 units

Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k

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Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: Let Vector A = Let Vector B= Find the angle between the vector, in degrees

A: Given,  Vector A = (0,2) Vector B = (5,-5) We need to calculate, Angle between both vector =?

Q: A person travels 35 m East and then 55 m in a direction that is 32° from the positive x axis.

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Q: 25° 125 N 62⁰ b = 40 N 130 N 20% a = 15 N 23° 45° 150 N 180 N

A: To find the resultant force, we will first find components of given forces along 'x' and 'y'…

Q: Eij and k are the usual unit vectors in the x, y and z directions, find aixi c.

A: As we know that i, j and k are unit vectors along the x, y and z directions. These unit vectors are…

Q: (a) Write each of the following vectors in component form: A y 3 m/s x 2) 250 5m x 60º 7 m B (ii)…

A: Step 1: Step 2:

Q: find the sum of these 4 vectors: A= 5j B= 6i C= -5j D= -4i + 2j

A: Given data:  A= 5j ;   B= 6i C= -5j ;   D= -4i + 2j Required: Sum of vectors A, B, C and D

Q: vector a has components -3 and 6, vector b has components -9 and -6, find a+b.

A: The x-component of a→ is ax=-3 The y-component of a→ is ay=6 The x-component of b→ is bx=-9 The…

Q: Two vectors are given by 7 = 8.5 + 8.4 and 3 = 1.li + 3.5). Find (al a x 3 |) a - B.c0( a +3). 3.…

A:

Q: Find the Vector projection of A= and B=

A: Given, Vectors, A = 2, 1, 5, B= 5, -2, 7 The vector projection of vector A→ on vector B→ is…

Q: can you please draw a picture/representation of the scenario described? thanks

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Q: What is the principal angle of a vector located at 52° South of East?

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Q: A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of…

A: Given: Let the length of each step be l. Total pair of steps is n=1000 Distance covered by robot is…

Q: A car travels North with a speed of 30 kph and then turns to west at a speed of 15kph. What is the…

A: Given that:- Initial velocity of car=30kph along North

Q: How many of the vectors have a horizontal component other than 0?

A: In the given diagram, d2  vector is acting along y-axis. Hence, its horizontal component is 0. For…

Q: Q.2. Find the magnitude of the resultant force and its direction, measured counter clockwise from…

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Q: Find the resultant of the following forces. The angle which each force makes with the x-axis is…

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Q: A dog in an open field runs 12.0 mm east and then 27.0 mm in a direction 50.0 ∘∘ west of north. In…

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Q: Can the component of a vector be greater than vector itself?

A: Consider a vector R as shown below.

Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…

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Q: Consider two vectors of the same magnitude. Each is pointing at opposite directions. The resultant…

A: Given: Two vectors of the same magnitude each is pointing at opposite directions.   To find: The…

Q: If a 4i+ 2j -k and b = 2i-6j-3k, then calculate a vector that is perpendicular to both a and b.

A: The cross product of two vectors gives out a vector. This resultant vector is perpendicular to both…

Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C