In physics, we have the formula ρ = m/v where ρ is density, m is mass, and v is volume. Suppose an object starts with a mass of 2 kg and a volume of 10 cm3 . The object begins to lose mass at a rate of 0.2 kg/s and gain volume at a rate of 1 cm3/s. What is the rate of change of the density when the mass is 1 kg?

Q: The area of a small table is 593 cm2. Express this area in the S.I. unit. O a. 0.0593 square meter O…

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Q: A student measures the dimensions of a rectangular slab of marble to be 112.64 cm by 3.21 cm by 0.02…

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Q: What is the value of n+r/(2.000) 2, written with the correct number of significant figures? O…

A: To determine: The value of π+π2.0002

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

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Q: A 1938 nickel has a diameter of 21.21 mm, a thickness of 1.95 mm, and weighs 0.04905 N. What is its…

A: We know, density=MassVolume

Q: The volume of an iron cube is 1000 cubic units. The density of iron is 7.87g/cm^3 calculate the mass…

A: Definition of density Density of an object is defined as mass of the object per unit volume. Density…

Q: The consumption of natural gas by a company satisfies the empirical equation V = 1.50 t + 0.00800 t2…

A: Given : V = 1.50 t + 0.00800 t2 V is the volume of gas in millions of cubic feet and t is the time…

Q: The density of a 2-cubic meter block of mass of 1000 kg is how much kg/m^3?

A: Formula for Density is given as, Density = mass volume Given, Mass of a block = 1000kg Volume of the…

Q: The area of a sheet of paper is 900 cm2. Express this area in the S.I. system a. 0.09 m² O b. 9 m2 O…

A: 900 cm2 1 cm=10−2 m1 cm2=10−2×10−2=10−4 m2 900 cm2=900×10−4 m2=0.09 m2 The area of the sheet of…

Q: Let's begin with a simple calculation of the weight of air using density. Find the mass of air and…

A: Given data The length of the room is l = 4.4 m. The width of the room is w = 6.1  m. The height of…

Q: The length of a warehouse is measured to be 95.00m. The height of the roof is measured to be…

A: Introduction Given information-          Length of warehouse L= 95.00 m          Height of warehouse…

Q: The area of a small rectangle is 418 mm-. Express this area in the S.I. unit. O a. 0.000418 square…

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Q: According to the label on a bottle of salad dressing, the volume of the contents is 0.473 litters…

A: Given, the volume of the contents is 0.473 L 1 L = 1000 cm31 in = 2.54 cm1 cm = 12.54in here, first…

Q: The density of a rectangular block of copper metal that weighs 1896 g is 17 g/ cm3 .The dimensions…

A: Given density of the copper block is ρ= 17 g/cm3 weight of the copper block is W = 1896 g so the…

Q: 1) one meter is equivalent to 3.281 ft. A cube with an a edge of 2.15 ft has a volume of A) 0.281…

A: Given : Edge = 2.15 ft

Q: The length of a paperclip, in metric units, is most likely: a) 3 in      c) 3 mm b) 3 cm    d) 3 m

A: Given : A paper clip. In the metric system of measurement, the most common units of distance are…

Q: 1. Convert 1.35 x 10° km² to Liters Answ: 1.35 x10" liters 2. Convert 30 µg /f° to kg/m³ NB: (lft =…

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Q: According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L).…

A: Given data: Volume of the contents = 0.473 Litre We have to convert the given volume into cubic…

Q: A seller offered a piece of metal with dimensions 5.0mm x 5.0mm x 30.0mm and a mass of 0.0158 kg.…

A: Calculate the volume of the piece of metal. V=5.0 mm×5.0 mm×30.0 mm=750.0 mm3 Here, V is the volume…

Q: The density of a rectangular block of copper metal that weighs 1896 g is 17 g/ cm3 .The dimensions…

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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: A 4.2 cm diameter cylinder has a length of 13.5 cm. What is the cylinder's volume in SI units?

A: Given data: Diameter of the cylinder, D=4.2cm =0.042m Length of the cylinder, L=13.5cm=0.135m

Q: Consider the equation 4000/400 = 10.0. Assuming the number of significant figures in the answer is…

A: To determine: Find the number of significant figures in 4000 and 400.   Given: number, 4000 can be…

Q: A typical person has an average heart rate of 68.0 beats/min. Pay close attention to significant…

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Q: Express these numbers in scientific notation and identify the number of significant figures in each.…

A: A) 37.60        Scientific notation : 37.60*100        Significant figures : 4 B) 0.00250…

Q: A rug measures 8 feet in width and 12 feet in length. What is the area of the rug in square meters?…

A: Write the given values with the suitable variables. b=8 feetl=12 feet Here, b and l are the width…

Q: Dimensional Analysis and Unit Conversion According to the label on a bottle of salad dressing, the…

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Q: The following lengths are given in meters. Use metric prefixes to rewrite them so the numerical…

A: (a) 7.59 x 107 m = 759 x 105 km = 759 x 100 km = 75900 km    (b) 0.0074 m = 0.0074 x 1000 mm = 7.4…

Q: Calculate the approximate number of atoms in a bacterium, assuming the average mass of an atom is…

A: The mass of bacterium is of the order of 10-15 kg while the mass of hydrogen atom is of the order of…

Q: In the following calculations, be sure to express the answer in standard scientific notation with…

A: The following subtraction needs to be done:Let A=3.78×107 g- 4.701×105 gFirst we need to make the…

Q: The gasoline consumption of a small car is advertised as 12 km/L. How many miles per gallon is this?…

A: Given data: The gasoline consumption of a car = 12 km/L 1 mile = 1.6 km 1 gallon = 3.8 liters…

Q: According to the label on a bottle of 10 points salad dressing, the volume of the contents is 0.473…

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Q: An object’s average density ρ is defined as the ratio of its mass to its volume: ρ = M/V. The…

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Q: You have been given a small rock sample to identify based on its density. Suppose that you use the…

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Q: In the following calculations, be sure to express the answer in standard scientific notation with…

A: 6.477 x 1044.7036 x 102

Q: A piece has mass of 57.41 g and volume of 3.62 cm3. The density of the piece in kilogram per cubic…

A: Given Data : The mass of the piece is given as m = 57.41Kg. The volume of the piece is given as…

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 ✕…

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

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Q: A cereal box has the dimensions of 19.75cm x 28.40 cm x 5.2 cm what is the volume of the box in…

A: Given data: Length =19.75 cm Width =28.40 cm Height =5.2 cm

Q: A rectangular box with mass 16.5 g is said to have dimensions of 2.8 cm x 1.7 cm * 0.4 cm .…

A: Given data:  A rectangular box  Mass (m) = 16.5 g Length (l) = 2.8 cm Width (W) = 1.7 cm Depth (d) =…

Q: A cube-shaped block of wood has a density of 750 kg/m3 and a mass of 49 kg. What is the length of…

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Q: Density is defined as the ratio of mass per volume m. where p is the Greek letter "rho",…

A: Given data:  Mass (m) = 50 g Volume (V) = 1000 cm3 Required: Density (ρ) in SI unit

Q: A balloon having mass of 400 kg remains suspended motionless in the air. If the air density is 1.29…

A: Given :     Mass of balloon, m = 400 kg     air density, ρ = 1.29 kg/m3

Q: Express this product in units of m3 in scientific notation with the appropriate number of…

A: The value is given as (2.90 km) × (350 cm) × (1.005x10-2 mm)

Q: A study finds that the metabolic rate of mammals is proportional to m314, where m is the total body…

A: The total body mass is denoted by m. The metabolic rate (R) of mammals is proportional to m3/4. The…

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.