Obtain the Euler-Lagrange equations in spherical coordinates for a particle of mass m subject to a spherically symmetric potential V(r). Hint v = rî + (rsin0)øÔ + r0ô

Q: how about 2 , 3 and 4

A: Dear student,  Since all questions are different as per guidelines we can author only one question.…

Q: Find a unit vector that is perpendicular to both a -i+jand b-i- 2j + k.

A: A unit vector has a magnitude of one. There are no units or dimensions in a unit vector. We have the…

Q: [P,P2] = -iħ o -1 O ih o o

A: Ques:

Q: Given vectors p and a have a magnitude of 7 and 2, respectively. Find the magnitude and direction of…

A: Magnitude of p = 7 Magnitude of q = 2 Angle, θ = 150°

Q: Determine the angles made by the vector V = -18i+26j with the positive x- and y-axes. Write the unit…

A: A physical quantity is classified into 2 main groups-scalars and vectors. Vectors are the quantities…

Q: The air in some caves includes a significant amount of radon gas, which can lead to lung cancer if…

A:

Q: A car starts from the origin and is driven 1.25 km south, then 8.75 km in a direction 57° north of…

A: Given value--- firstly driven 1.25 km south, then 8.75 km in a direction 57° north of east. We…

Q: A hill that has a 32.5% grade is one that rises 32.5 m vertically for every 100.0 m of distance in…

A:

Q: Which of the following plots produce a line with slope equal to 6.626 x 10 34 J s? Select all that…

A:

Q: he second v

A: Given: To find the second vector magnitude and the direction is given as,

Q: A vector has an x-component of -25.0units and a y-component of 40.0 units. Find the agnitude and…

A: Vector in terms of components A=(Ax  2 +Ay 2 )1/2

Q: Vecrors of length 10 and 15 have a Cross product of 150 if i add those vectors, what is the length…

A: The dot product of the two vectors is,

Q: 15 Refer to diagram 4. A spherical lens made of plastic (n = 1.87) has two surfaces curved as shown.…

A:

Q: Figure 1 B (15.0 m) Ď (10.0 m) 30.0 53.0 25.0 Ĉ (12.0 m) Á (8.00 m)

A: Given data:  Vectors with magnitude and direction Required: Represent vectors in terms of unit…

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: (a) Write a note on vector product or cross product with its characteristics. (b) Find the cross…

A: Given: A→=3i+1j-2kB→=1i-3j+4k

Q: Select the correct statement for: “If the vector has a magnitude of 25 meters and make an angle of…

A: The magnitude of a vector is the length of the vector and the angle is the orientation from the axis…

Q: Determine the angles made by the vector V=-491+30j with the positive x- and y-axes. Write the unit…

A: The problem is based on the concept of vectors. We have to calculate the unit vectors also. The…

Q: Two vectors of 8.0 units and 5.0 units make an angle of 600with each other. What is their vector…

A: Using mathematical method of vector addition, the resultant of two vectors is given by, R = √(A2+B2…

Q: This answer is incorrect. Can I get a correct answer please?

A: Here velocity u= 189 ft/sit makes angle 34o with horizontalTime taken to hit the point above h…

Q: estion 7 Find the magnitude of the vector whose x- and y-components are given to be -1.036 and…

A: Given here,X COMPONENT: x=-1.036Y COMPONENT: y=-4.3512

Q: Ã = (5 m/s)î + (2 m/s)j, B = (3 kg · m/s²)î + (2 kg · m/s²)I %3D

A:

Q: A vector has an x-component of 2.64 and a y-component of 4.58.  The magnitude of the vector is:

A: The objective of the question is to find the magnitude of a vector given its x and y components. The…

Q: Your character starts at position po. Each frame, it moves along the normalized vector Compute the…

A: Determine, The next position of the character given the indicated parameters p0→=55d→=3-3δt=0.5

Q: In the cross (or vector) product qu x B we know that 9=1 -307 +9.07+-212 -3.07+4.07 +6.0 B=B₁1+B7+BA…

A:

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

A:

Q: Given the vector V = -3 ax + 2 ay, the unit vector av is: O a. av = -0.83 ax + 0.55 ay O b. av =…

A:

Q: answer is incorrect, it should be option 3

A:

Q: The plane is inclined at an angle of theta = 0 = 61 degrees away from vertical. The coefficient of…

A:

Q: Given c=3.21 and b=1.32, what is a? Round to two decimals

A:

Q: A force of 100N makes an angle Determine both the x-component with the x-axis and has a y-component…

A: Component of force along x axis = A Cosθ  Component of a force along y axis  = A Sinθ

Q: its not 2.42

A:

Q: Problem 71

A:

Q: Describe about calculating the vector sum of two or more vectors.

A:

Q: Ā = 3î + 43, B = î + 2)

A:

Q: The vector The vector C has length 16 and points at an angle of 15° has length 12 and points at an…

A:

Q: A vector has a magnitude of 25 and points in a direction that is 35° above the positive x axis.

A: