A "seconds pendulum" has a period of 2.000 s so that it moves through its equilibrium position once each second. Calculate the length of such a dulum for each of the fol- lowing cities with the given free-iall acceleration: (a) Athens, Greece: 9.800 m/s², (b) Bangkok, Thailand: 9.783 m/s³, and (c) Stockholm, Sweden: 9.824 m/s².

Q: A small vegetable shop use the following electric appliances: (1) Two Air Conditioner of rating 1600…

A:

Q: d) For the vectors A=2.00 î - 4.00 ĵ - 3.00 k and B = 5.00 ĵ - 4.00 k find the vector product À X B

A: Write the given values with suitable variables. A→=2i^-4j^-3k^B→=5j^-4k^

Q: (Prob. 1,8 A heavy rope, 10 m long, weighs 0.5 N/m and hangs over the edge of a building 100 m high.…

A:

Q: Q(8): (a) Determine the indices for the directions shown in the following cubic unit cell: 1 - 77 C

A: Show the answer in the below hand writing page.

Q: Calculate the dot product of vectors A and B:

A: Two vectors dot product are the product of magnitude of given vectors followed by cosine angle…

Q: (A) What is the kinetic energy in joules of a 1130-kg automobile traveling at 94 km/h? (b) How much…

A:

Q: Two persons were practicing social distancing to aeviate the spread of COVID-19. Social distancing…

A: Given, Mass of two persons,m1=60 kg,m2=68 kg Initial distance,r1=3 feet=0.914 m Final distance,r2=12…

Q: Using the definition of the scalar product, find the angle between the following vectors. (Find the…

A:

Q: the electrical energy used by a household whose monthly electrical bill is $42, computed at the rate…

A: Givenmonthly electrical bill is $42At rate of $0.07 per kWh.

Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A:

Q: A particle moving in two dimensions is subject to the conservative force F = Fgi+Fyj. Fen that Fr =…

A:

Q: Given M = 3 î + j - 3 k and N = 5 î – 4 j – 4 k, calculate the vector product M x N.

A: As per bartleby guidelines, i have solved first question posted by you out of multiple questions. If…

Q: The scalar product of vectors A and B is zero, therefore * O vectors A and B are equal vectors A and…

A:

Q: Find the angle between the vectors u = <1,2> and v =<4,-1> in degrees

A:

Q: A particle of mass 6 kg is constrained to move along the trajectory y(x) = -5 x2 + 10 (m).  If the…

A: Given trajectory:     y(x)=-5x2+10 (m)∴dy=-10x      _______(1) Force: F=7 N  (constant) Displacement…

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 9i – 7j,V = 12i –…

A: Solution:-Given thatU→=9i^-7j^V→=12i^-2j^

Q: Simplify Derivation + Integration

A: To Find :  Find the work done and do the calculation in detail

Q: A NACA airfoil has a mean camber line given by z/c 0.600 [ 0.5 (x/c) - (x/c)² ] for 0< x /c< 0.25;…

A:

Q: Two persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing…

A: Given, m1=60kgm2=68 kgr1=3 feet = 0.9144mr2=12 inches =0.3048m

Q: Find the angle between the vectors b=(1,2,4,) and c=(4,2,1) by evaluating their scalar product

A:

Q: Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length…

A:

Q: One watt is 1 joule per second. The woman in the preceding example expends 8.4 kilojoules per hour…

A: It is given that,

Q: What is the scalar/dot product of the given 3-dimensional vectors: A = (xy)i + (2yz)j + (3xz)k and B…

A:

Q: Problem 5: Two vectors in Cartesian coordinates have components A = (3, 1) and B = (2, y). a) If…

A:

Q: find the angle between the following vectors.

A: Given: (a) Vectors as A→=2i^-9j^ and B→=3i^-5j^ (b) Vectors as A→=-6i^+7j^ and B→=3i^-4j^+2k^ (c)…

Q: 31P. Use the definition of scalar product, ā · b = ab cos 0, and the fact that a · b = a,b, + a,b, +…

A: Given data The definition of the scalar product is given as a→·b→=abcosθ. The vector equation of a…

Q: determine the dot product of the vector (A) = 6.0 (i) + 4.0 (j) - 2.0 (k) and the vector (B) = 5.0…

A: Given data:  Vector A = 6.0 (i) + 4.0 (j) - 2.0 (k) Vector B = 5.0 (i) - 6.0 (j) -3.0 (k) Required:…

Q: (a) What is the amount of force if a man stands on the top of mountain if he has mass of 86kg?

A: Given: The mass (m) of the man is 86 Kg. Introduction: When a man is standing still on any hill or…

Q: [23] Vector i has a magnitude of 5 units, and i has a magnitude of 9 units. The two vectors make an…

A:

Q: o persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing…

A: Given Mass m1 = 60 kg Mass m2 = 68 kg Initial distance r1 = 3 ft = 90 cm = 0.9 m Final distance r2 =…

Q: 1- Find the dot product of the two vectors shown below. a - 3i + 4j, b - 5i- 2j (a) 4 (b) 6 O (c) 7…

A:

Q: Using Gram-Schmidt algorithm, check for linear independence of the following vectors: v= (1, -2, 1,…

A: The solution is given below

Q: Given: The energy equivalent of one gallon of gasoline is 1.3 x 10° J. A compact car has a mass of…

A: Given: The energy equivalent of one gallon of gasoline is Ee,gasoline=1.3×108 J/gal, The mass of…

Q: Compute the electrical energy used by a household whose monthly electrical bill is $43, computed at…

A: Given  Monthly bill = $ 43 Rate = $ 0.05 Mass = 1985 kg

Q: Using the definition of dot product: Ax B= (A,B₂ - A₂B₂)i + (A₂B₂ − AxB₂)j + (AxBy - AyBx)k Find the…

A:

Q: prove this force are conserved F(x,y)=2a(x-y)i-a(2x-y)j Where a is constant

A: Given that:- Force F(x,y)=2a(x-y)i^ - a(2x-y)j^

Q: then the dot product A.B will be equal to"

A:

Q: true or false : 1- Newton = force unit x meter     (        ) 2- the dot product between two…

A: Newton = force unit x meter. This statement is False. Reason: Newton is the SI unit of force. Given…

Q: Using the definition of the scalar product, find the angle between the following vectors. (Find the…

A:

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.