Two small spheres with mass m = 14.4 g are hung by silk threads of length L = 1.25 m from a common point (Figure 1). When the spheres are given equal charges, so that q₁ q2 = q, each thread hangs at an angle = 30.0° from the vertical.

Q: Find the vector v with the given magnitude and the same direction as u.

A: Magnitude is v = 6

Q: For the following vector r =3i -10j , find the direction

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Q: в (15.0 m) D (10.0 m) 30.0 53.0 25.0 Č(12.0 m) Ä (8.00 m)

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Q: Find the magnitude of the vector component of F = 8.09 ar+ 9.09 ag + 2.56 ao that is tangential to…

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Q: Determine the vector sum and vector difference of A = 30 N, 60° SE and B = 40 N, 45° N of E.

A: A = 30 N, 60° SE and B = 40 N, 45° N of E. Write in the vector form A→ = 30 (cos 60 i^ - sin 60 j^…

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Q: F = 5 units, SW N. Draw the following vectors from the origin of a single x-y plane. A = 4 units,…

A: A vector can be drawn by arrows by taking length of arrow as magnitude and direction by angle.

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A: For the root passing via Ontario Street the vector notation can be drawn as, Here Resultant is…

Q: What is the x-component of a vector with a magnitude of 135 m, 42° South of east? O 54.89 m, North…

A: x component of a vector  Ax   = A Cosθ  where  θ is angle from x axis counterclockwise.

Q: to 1.) Ë = 4.50m, 37° E of S 5- 3m 46°5 of E F = 4m, 20° E of N

A: The component vector. given, D→=3 m, 46o S of EE→=4.50 m, 37o E of SF→=4 m, 20o E of N

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Q: Suppose that Ø =2xy +z^2 find VØ at point (1,-1,3) and what is the component of VØ in the direction…

A: ∅=2xy+z2∇∅ = ∂∅∂xi+∂∅∂yj+∂∅∂zk=∂∂x2xy+z2i+∂∂y2xy+z2j+∂∂z2xy+z2k=2yi+2xj+2zk=2yi+xj+zk   ---(1) Hence…

Q: Let vector E = (9 i + 7 j) and vector F = (7 i - 10 j). Find the magnitude of E. Find the…

A: E→ = 9i^ + 7j^F→ = 7i^ - 10j^

Q: Displacement vector for C to A meters Displacement vector for A to B C meters x + Displacement…

A: Given that: Position coordinate of A(1,8) m Position coordinate of B(3,1) m Position coordinate of…

Q: Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°,…

A: let p = 40 and angle = 250 q = 75 and angle = 2700 p = 30 and angle = 2200

Q: X component of resultant force? Magnitude of F1= 8.60N at 115°, Magnitude of F2= 6.00 at 232.9°

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Q: 19 A vector A has a magnitude of 3 ur direction of the following vectors? C (a) A+ B magnitude un…

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Q: Given a vector's magnitude and direction, 35 at 260°, find the X component of the vector.

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Q: You have two vectors, A and B. Find the vector sum of 2.1. 1 of 2.1 A +-3.5 B. A-3.62+3.93…

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Q: Vector A has a negative x component 2.62 units in length and a positive y component 1.92 units in…

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Q: Consider the following two vectors: A = 37i - 47j and B = -19j a. Find the magnitude of the vector…

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Q: How do I find the resultant R (in the blue line) using components of vectors?

A: Write the x-components of all forces. Ax=72.4sin32°Bx=-57.3cos36°Cx=0

Q: In cylindrical coordinates, P = Peyt(1, 90°, 1) and Q = Qeyl(0,0°, 1). (a) Determine the length of…

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Q: Cx = 0, Cy= A Sin 60o+ B Sin 30o Ax and By point in the positive x and y directions, respectively.…

A: StepI:∙A→+B→  are added together to form  C→=A→+B→∙Cx=0,  Cy=A sin 60+B sin30∙We need to find the…

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

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Q: 57. Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in…

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Q: Find the magnitude of the vector component of F = 8.09 ar + 9.09 ag + 2.56 ap that is tangential to…

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

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Q: 42.81이 56.98cm 29.06 28.05°

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Q: AvecTar A of Length 10 units makes an angle of 30 with avector B of Length 6units. ind the magnitude…

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Q: Two vectors are given by a 9.0î + 8.0ĵ and b = a 6.7î + 2.6ĵ. Find (a)|ã × b], (b) à · b, (c) a +…

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Q: Calculate the vector bxa when a = 3i+ 4j -3k and b =i+ 3j + 2k Answer: i+ j+ k

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.