The following conversions occur frequently in physics and arevery useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mphto units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2.Use 1 ft = 30.48 cm to express this acceleration in units of m/s2.(c) The density of water is 1.0 g/cm3. Convert this density to units ofkg/m3.

Q: The maximum running speed (S) in km/hr and the corresponding body mass (m) in kg were determined for…

A: Unit of speed is km/hr Unit of mass is kg The relation between speed and mass is  S=5.7m2Unit of…

Q: The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only…

A:

Q: "A standard 1 kilogram weight is a cylinder 48.5 mm in height and 44.5 mm in diameter. What is the…

A: The density of the material of the cylinder can be calculated using given steps.

Q: Express the following with appropriate units and significant figures. 1.0 m + 9 mm. Answer must be…

A: Required : Express the following with appropriate units and significant figures. 1.0 m + 9 mm.…

Q: A commonly used unit of mass in the English system is the pound-mass, abbreviated lbm, where 1 lbm =…

A:

Q: P (t) = PmaxCos (Bt) If t is measured in seconds, what value should the quantity B have? B = If t is…

A: The value of quantity B.given,P(t)=Pmaxcos(Bt)frequency(f)=349 Hz

Q: Which of the following is NOT a unit for density? a. lb/ft b. g/mL c. kg/m² d. g/cm'

A:

Q: What mass of a material with density ρ is required to make a hollow spherical shell having inner…

A: GivenInner radius is r1Outer radius is r2

Q: Water at 20°C from a garden hose fills a 2.0 L container in 2.85s. Using unity conversion ratios and…

A: Given data:  Volume (V) = 2.0 L Time (t) = 2.85 s Required: Volume flow rate in Lpm and mass flow…

Q: The following times are given in seconds. Use metric prefixes to rewrite them so the numerical value…

A: a) The required time is, b) The required time is,

Q: Density is defined as mass per unit volume. A solid cylinder has a diameter of 17.4 mm and a length…

A:

Q: An expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ (density) has…

A: Buoyant Force is given by FB = ρgV FB is Buoyant Force which has dimensions [MLT−2] where ρ is…

Q: The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of…

A:

Q: 2. Do the following calculations, rounding off answers to the appropriate number of significant…

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Q: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm + 0.1 cm.…

A:

Q: 1/15 Determine the base units of the expression = ["₁ mgr dt in both SI and U.S. units. The variable…

A:

Q: If a person asks you about the average weight of any people, how can you report it without using any…

A: For measuring weight without using the measuring device the principle of Archimedes is used. This…

Q: A large chunk of metal has a mass of 544.3 kg, and its volume is measured to be 0.0480 m3. a. Find…

A: Given data: Mass of metal (m) = 544.3 kg Volume of metal (v) =0.0480 m3 Need to calculate the…

Q: 3. Pure gold has density. 19,300 kg/m³. A friend gives you as a gift a rectangular piece of metal…

A: Write the given data. ρpure gold=19300 kg/m3Vrect=10×20×30 mm3mrect=4.56×10-2 kg

Q: The mass of the cube is 12 grams. Calculate the density of the cube using the length measurement…

A: Given data: Mass of the cube, m=12 g Measurements of the cube:  l=1.05 mm=0.105 cmb=1.25 mm=0.125…

Q: The Apothecary system of units was used in Britain and the US until 1858. Given the density of water…

A: 1 grain = 0.065 g Therefore, 20 grains=20×0.065=1.3 g That implies 1 scruple = 1.3 g Therefore,  3…

Q: Given the quantities a = 2.6 m, b = 6.5 s, c = 98 m/s, what is the value of the quantity d = -

A: The value of quantity d. given, a=2.6 m b=6.5 s c = 98 ms-1

Q: hen an object falls through air, there is a drag force that depends on the product of the surface…

A: The equation force is  F=CAv2 ............................ (1)  where F is the force, C is the…

Q: * The volume of liquid flowing per second is called the volume flow rate Q and has the dimensions of…

A: The length of needle is L and its dimension is [L]. The radius of the needle is R its dimension is…

Q: Density of water is 1000kg/m³. What is its density in units of g/cm³? 3 A cylinder has length of…

A:

Q: P V =

A:

Q: Each of the following equations was given by a studentduring an examination: (a) 1/2 mv2= 1/2 mvo2 +…

A: Given:(a) 1/2 mv2= 1/2 mvo2 + √mgh(b) v= v0 +at2(c) ma =v2

Q: following fundamental SI units are based on a physical artefact instead of a natural phenomenon?…

A: Option A The kilogram is the only one of the seven basic units of the international measurement…

Q: density of a rod of length 4 m is given by p(x) = 8 + 2x measured in kilograms per meter, where x is…

A: Linear density = mass/ total length = m/L

Q: In meters, what is the displacement traveled fromt = 10 sec to t = 25 sec? To correctly calculate…

A:

Q: 19. A common speed limit in British Columbia is 80 km/hr. What is this speed in m/s? 20. Considering…

A:

Q: What is the approximate mass of air in a living room 4.3 m x 3.4 m x 2.8 m? The density of air is…

A: Given data: The dimension of room is l×b×h=4.3 m×3.4 m×2.8 m. The density of air is ρ=1.29 kg/m3.

Q: oes an object always have the same mass and length? What makes a quantity a fundamental or…

A:

Q: The official FIFA soccer ball has a mass of 450 gram. If its diameter is 70 cm, what is the density?…

A: Given The official FIFA soccer ball has a mass of 450 gram if diameter is 70 cm what is the density.

Q: What is the weight of a 1‑kg substance in N, kN, kg·m/s2, kgf, lbm·ft/s2, and lbf?

A: Given: mass, m =  1 kg

Q: Using dimensional analysis, check which of the following equations is or are correct. 1. a=v/t 2.…

A: Given  1. a=v/t 2. density = mass/volume 3. speed = d/t^2  4. a=∆v/∆t

Q: One cm3 of gold is 19.32 g. What is the density (ratio of mass to volume) of gold in kg per m3 ?  I…

A: Given that, One cm3 of gold is 19.32 g. The density (ratio of mass to volume) of gold in kgm3 is…

Q: What is the mass of a solid gold rectangular bar that has dimensions l x w x h = 5.60 cm ✕ 12.0 cm ✕…

A:

Q: When estimating the area covered by an object, what type of error might you make and what sources…

A: Given:  Scenario where we are measuring area covered by the object.

Q: The volume of a bottle of water is 106 cm3. Express this volume in the S.I. unit. a. 0.000106 cubic…

A: Convert the volume of the bottle from CGS unit to SI unit. Volume (V) = 106 cm3

Q: The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360…

A:

Q: An expression for buoyant force is FB = ρgV, where FB has dimensions [MLT−2], ρ (density) has…

A: Buoyant force may be defined as the force exerted by the liquid on any objects immersed or floating…

Q: If you have a density of 100 kg/L, and a mass of 1000 units, tell me the following: First what are…

A: The density is given as 100kg/L, in which mass consists of 1000 units which here defines 1000kg.…

Q: Which statements could be correct based on a dimensional analysis? The speed of a train is 9.8…

A: Given :- different statements to find which one is correct according to dimensional analysis

Q: The SI base units have the dimensions of: O mass, length, speed O weight, length, time O length,…

A: Let's check each option one by one 1. Mass , length , speed Not correct  Since speed is a derived…

Q: Convert 23 miles to feet.

A: NOTE: As per guidelines, I can solve first question. If you need help with other questions, kindly…

Q: What mass of gasoline (in kg) can be contained in a fuel tank whose dimensions are 48 cm x 83 cm x…

A:

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.