Give all answers for this problem to 2 significant figures. Convert the following vectors from Cartesian (x,y) to polar (r,θ) form. a) (4,−6) b) (−5,−1) Convert the following vectors from polar (r,θ) to Cartesian (x,y) form. c) (7,165˚) d) (2,250˚)

Q: Carry out the following arithmetic operations. (Give your answers to the correct number of…

A: a 756+37.2+0.83+2     =796.03    The addition of the numbers having different significant…

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A: Step -1To find: The unit of constant a, b and c.Given information: The equation of parabola is : y=…

Q: Carry out the following arithmetic operations. (Give your answers to the correct number of…

A: a) b)

Q: Carry out the following arithmetic operations. (Enter your answers to the correct number of…

A:

Q: The consumption of natural gas by a company satisfies the empirical equation V = 1.5t + 0.008 ?…

A: Given Data: The empirical equation is: V=1.5t+0.008t2

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A:

Q: A + B + C = 0 Problem 1: A new landowner has a triangular piece of flat land she wishes to fence.…

A:

Q: A sphere of radius r has surface area A = 4πr and volume V = (4/3) πr . If the radius of the sphere…

A:

Q: When you perform the following operations, how many significant figures should your answer have?…

A: Operation to be performed : (4.0005×105) + (8.000×102)

Q: A man leaves his front door, walks 1000 ft east, 2000 ft north, and then takes a penny from his…

A:

Q: Vector A, vector B, and vector C are drawn to scale in the figure below. The vector A is 5.3 meters…

A: Given: Magnitude of vector A = 5.3 m. Magnitude of vector B = 4.0 m. Magnitude of vector C = 2.8 m.…

Q: What is the y component, Ay of the vector A shown in the graph below? The magnitude of the vector is…

A:

Q: tically-upward vector b • Outwardly-directed unit vector ĉ 1.6 4 Vector magnitude and direction…

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Q: 1.28.. For the vectors A and B in Fig. E1.28, use a scale drawing to find the magnitude and…

A: First we divide the vectors into x and y components.  Then we calculate their resultant vectors and…

Q: If the rectangular coordinates of a point are given by (2, y) and its polar coordinates are (r, 30),…

A: answer y=1.1547 r=2.3094 Explanation Relationship between rectangular coordinates (x,y) and polar…

Q: How many significant figures are there in (a) 78.9 ± 0.2, (b)3.788 x 109, (c) 2.46 x1026, (d) 0.003…

A: a)Significant figures  are 7,8 and 9 .Reason: The decimal 78.9 is uncertain to one digit which is…

Q: factors in Appendix E.. {A E14. The volume of a cube is found by multiplying length times width…

A: In a cube length, width, and volume all are equal. Let the side ( length = width = height) of the…

Q: Where r is the radius of the sphere and pi = 3.14. If you measure the radius of a bowling ball to be…

A:

Q: Carry out the following arithmetic operations. (Enter your answers to the correct number of…

A: We have to find the sum, product (a)  578 is answer (b) 2.4 (c) 56.206

Q: The relationship between three quantities x, y, and z is given by x = y² /z. If the dimension of y…

A: Given: The relationsp between quanittity is. x=y2z The dimension of the y is LT. The dimension of…

Q: A rectangular room was designed to be built for a length of 25 feet and a breadth of 18 feet. Find…

A: Given data: The length of room is l=25 ft. The breadth of room is b=18 ft. The deviation in length…

Q: 1. 00 A student sees a newspaper ad for an apartment that has 1330 square feet (ft') of floor space.…

A: Given Data: The area of an apartment in square feet is, A=1330 ft2 We know that,

Q: Carry out the following arithmetic operations. (Give your answers to the correct number of…

A: (a) Sum of the measured values 756+37.2+0.83+2=800 (b) The product 0.0032×356.3=1.1

Q: Determine the following for a point with the rectangular coordinates (1.060, 2.930) m. (a) the polar…

A: Rectangular coordinates of a point = (1.06, 2.93) m to find : polar coordinates of this point

Q: If the cartesian coordinates of a point are given by (3, y) and its polar coordinates are (r, 60° ),…

A: Given data, co- ordinate x = 3 angle = 60o

Q: Vector A⃗ A→, vector B⃗ B→, and vector C⃗ C→ are drawn to scale in the figure below. The vector A⃗…

A: CONCEPT:

Q: When you perform the following operations, how many significant figures should your answer have?…

A: 11.13 kg+22.2 g=? 22.2 g=22.2/1000=0.0222 kg

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A: Measurement is the process of determining a number that represents the quantity of something. The…

Q: During a month-long advertising campaign, the total sales S of a magazine is modeled by the function…

A: The sales function is, Sx=2x2+48x+11000 (a) The average rate of change of sales from 10 to 20 can be…

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

A: A→ = 55.6 [ cos18.9oi^ - Sin18.9oj^] m A→ =52.6i^ - 18j^ mB→ = 113 [-Sin21.2oi^ + Cos21.2j^] m B→…

Q: Consider the equation v= The dimensions of the variables v, x, and t are [L]/[T], [L], and [T],…

A: GivenV=13Zxt2Dimension of V=LTx=Lt=T3 is dimensionless

Q: Container 1 has rectangular base with area of 4.03m ^ 2 and its height is 1.3 m. Container 2 has a…

A: Area of the base of container 1 is A=4.03 m2 Height of container 1 is H = 1.3 m Volume of container…

Q: A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid…

A: A) Volume of pyramid: V = 13(area of base ×height)V = 13(10 acrea)(43560 ft21 acre)(488 ft)V = 70.85…

Q: If the number of significant figures is 6, what is the value of the pre-specified Error(?s) Select…

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Q: (Figure 1) shows vectors A and B. Vector C is such that A+B+č = 0. Part A What is the component C,…

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Q: Evaluate cach of the following to three significant figures and express cach answer in SI units…

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Q: Problem 1: A rectangular box is h = 4.5 inches in height, w = 39.5 cm wide, and L = 1.1 yards long.…

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Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of r = 20.5 and an angle of 0A…

A: Given data:  Magnitude of vector A (rA) = 20.5 Angle (θA) = 28.7° Magnitude of vector B (rB) = 42.5…

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

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Q: The area of a circle is given by ar? where r is the radius. This can be written as area = (tr) × r.…

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Q: Question 1 (1.1) Which one is a larger quantity: 1 002 millilitres or 10 decilitres? (1.2) The two…

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Q: A building 200 ft tall is 300 ft by 500 ft in cross section. If all four sides of the building are…

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Q: A pyramid has a height of 481 ft , and its base cover W area of 13.0 acres ( Fig . P1.20 ) . The…

A: Given, height, h = 481 ft base area, b = 13.0 acres 1 acre = 43560 ft2  1 ft = 0.3048 m 1 ft3=0.3048…

Q: A hiker walks 35 km east and then 20km south in a day. Find the hikers resultant displacement

A:

Scalars and Vectors

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