Which one among the following statements is WRONG? -A physical expression (formula) has the correct form only if the dimensions on both sides of the equation are the same. -Dimensions of physical quantities can be treated as algebraic quantities. -Physical quantities having the same dimensions can be added or can be substracted. -Physical quantities having the same dimensions can neither be added nor substracted.

Q: For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by product also…

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Q: 1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…

A: a)The ratio of the areas, A2/A1

Q: A vector is located in the fourth quadrant. It has a magnitude of 5.430 and a y-component of -3.742.…

A: Given data:  Magnitude of the vector (A) = 5.430 y-component of the vector (Ay) = -3.742 Required:…

Q: A jet airplane reaches 863. km/h on a certain flight. What distance does it cover in 4.0 min? Set…

A: Given data The velocity of the jet airplane is given as v = 863 km/h. The time interval is given as…

Q: True or False: Dimensional analysis can give you the numerical value of constants of proportionality…

A: Dimension analysis

Q: ex component of vector A is -26.7 m and the y component is +56.3 m. (a) What is the magnitude of A…

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Q: what is the dimension of A in terms of [L], [M], and [T]?

A: Given data: The acceleration is: a The length is: L meter The mass is: M kg The time is: T sec The…

Q: A shape that covers an area A and has a uniform height h has a volume V = Ah. (a) Show that V = Ah…

A: Dimensional analysis is a process by which an equation is validated by comparing the dimensions of…

Q: Part II. Significant Figures The significant figures in a number are all figures that are obtained…

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Q: Vector A has a magnitude of 8.00 units and makes an angle of 42.0° counter-clockwise from the…

A: Given: The magnitude of the vector A→ is 8 units. The angle made by the vector A→ with respect to…

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: s is a distance with unit [L], t is a time with unit [T], and θ is an angle in radians.  Find the…

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Q: Which one of the following is not a derived unit?    (a) kg/m3   (b) km/hr   (c) m/s2…

A: Derived units are the units which are the product of either one or more than one basic unit or they…

Q: ds and a = dt dv Suppose quantity s is a length and quantity t is a time. Suppose the quantities v…

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Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: What is the length of the vector 7 = aî + bŷ + ck if a = 4.07 cm, b = -8.59 cm, and c- 4.06 cm? Give…

A: Length of a vector: The length of a vector follows the magnitude of the vector: vector…

Q: The x component of vector A is -11.1 m and the y component is +49.4 m. (a) What is the magnitude of…

A: Step 1:Step 2: Step 3: Step 4:

Q: 6. What is 55 miles per hour express Imiles 7. Recal that the formula for the breaking distance of a…

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Q: Give an example of (a) a physical quantity which has a unit but no dimensions. (b) a physical…

A: Dimension analysis

Q: Your answer is partially correct. Horses are to race over a certain English meadow for a distance of…

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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

Q: If an equation is not dimensionally correct, does that mean that the equation cannot be true?…

A: The question is asking whether an equation that is not dimensionally correct can still be true.…

Q: A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a…

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Q: Which of the following equations has units of length? Take [x] = L (length), [m] = kg (mass), [t] =…

A: Since N = kg.m/s^2, So Unit of Ft^2 = N.s^2 = (kg.m/s^2)*s^2 = kg.m Unit of mx = kg.m Unit of Fx^2 =…

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.