### Density of a Rectangular Piece of MetalPure gold has a density of \( 19,300 \, \rm{kg/m^3} \).A friend gives you as a gift a rectangular piece of metal with dimensions \( 10.0 \, \rm{mm} \times 20.0 \, \rm{mm} \times 30.0 \, \rm{mm} \) and a mass of \( 4.50 \times 10^{-2} \, \rm{kg} \).Your friend says it is pure gold. Which density do you derive for this rectangular piece of metal? And is it gold?Express your answer in kilograms per cubic meter.

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

3. Pure gold has density. 19,300 kg/m³. A friend gives you as a gift a rectangular piece of metal with dimensions 10.0mm x 20.0mm x 30, 0mm- and a mass 4.560 x 10-² kg. Your friend says it is pure goid. Which density do youderive for this rectangular piece of metal? And is it gold? Express your answer in kilograms per cubic meter.

3. Pure gold has density. 19,300 kg/m³. A friend gives you as a gift a rectangular piece of metal with dimensions 10.0mm x 20.0mm x 30, 0mm- and a mass 4.560 x 10-² kg. Your friend says it is pure goid. Which density do youderive for this rectangular piece of metal? And is it gold? Express your answer in kilograms per cubic meter.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: You have an 18-carat gold coin (an alloy of gold and copper). Its mass is 6 grams. Using the fact…

A: Given: Mass of gold coin =6 grams Density of pure gold =19300 kg /m3 Density of copper =8960 kg /m3

Q: 1) A chunk of lead has dimensions of 4.5 cm by 5.20 cm by 6 cm. Its mass is 1587 grams a) what is…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: A solid cube has a mass of 714 g and each side is 4.91 cm. What is the density (d) of the cube in…

A: Given data: Mass (m) = 714 g = 0.714 kg Side (s) = 4.91 cm = 0.0491 m Required: The density of the…

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

Q: 4.40 cm x 13.0 cm x 25.0 cm. (The density of gold is 19.3 x 103 kg/m.) Calculate the mass of a solid…

A: The density of a substance is given by,

Q: 6) Human "density" is about 0.98 g/mL. How would you measure your volume? Briefly describe.

A: The density ρ and the volume V of a human are related to each other by the following equation.…

Q: Give the fbm of the following quantities of wood: a. 800 lineal ft of 3⁄4 x 8 in. b. 15 pieces of 2…

A: Solution: The fbm of the given quantities of wood is explained below:

Q: The density of a 12kg cube of Gold is 19,300 kg /m3. What would be the density of a 8 kg cube of…

A: Required : Density of 12 kg of Gold.

Q: 11. Find the density of a 6 kg solid cylinder that is 10 cm tall with a radius of 3 cm. Recall…

A: Given data : Mass of solid cylinder (M)=6kg Height (h)=10cm Radius of cylinder (r)=3cm Solution :…

Q: The Earth has a mass of 5.98*1024kg and an average radius of 6.37*10 m. What is the density of the…

Q: Find the mass of a cylinder if it has a density of 5.9 g/cm3 and a radius of 13 cm and a height of 3…

Q: An object has a weight of 56 N. If it has a density of 1300 kg/m3, determine the object’s volume.

Q: 1. What is the smallest number of whole logs (density = 740 kg/m³, radius = 0.083 m, length = 2.91…

A: density of log = 740 kgm3radius = 0.083 m length = 2.91 m number of people = 7mass of each person =…

Q: Mass Data and Calculations Table M1 (g) M2 (g) M3 (g) M4 (g) M(g) M(kg) 12 12.112.2 12 Aluminum 63.8…

A: In this question we have to find the mean of different quantities given in the question. Please give…

Q: If 50.00 mL of blood has a mass of 52.00 grams, what is its density? (Be sure to include units in…

A: Given that,Volume of blood : V = 50 (mL)Mass of blood : m = 52 (grams )Here we need to find the…

Q: 200 kilolitres of water was consumed inour house last month. this quantity of water corresponds to:…

A: The relation between the units kilolitre and Litre is as follows; 1 kilolitre=1000 litres The…

Q: A beachball has a diameter of 24 cm and weighs about 6N. A-What is the volume of the beachball?…

A: Hey, there are multiple subparts posted, we are authorized to answer three subparts at a time, since…

Q: What is the volume of an object that has a density of 500 kg/m3 and a mass of 60 kg? Group of answer…

A: Given data: Density (ρ) = 500 kg/m3 Mass (m) = 60 kg Required: Volume (V)

Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

Q: An ingot of metal with the dimensions shown below has a mass of 1600 kilograms. What is the density…

Q: R= Suppose you have a coffee mug with a circular cross section and vertical sides (the radius is…

Q: In a certain material whose atoms are in a cubic array, the interatomic distance is 1.7x 10-10 m and…

Q: 3. a) You have a rock (Rock A) with a volume of 15cm and a mass of 45 g. What is its density? b) You…

Q: A 16.21 kg object with dimensions 0.1m x 0.1m x 0.2m, as shown in the figure, has a hole inside with…

A: The mass of the object is, m=16.21 kg The height of a cylindrical hole is, h=0.2 m The volume of the…

Concept explainers

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

Question

### Density of a Rectangular Piece of Metal

Pure gold has a density of \( 19,300 \, \rm{kg/m^3} \).

A friend gives you as a gift a rectangular piece of metal with dimensions \( 10.0 \, \rm{mm} \times 20.0 \, \rm{mm} \times 30.0 \, \rm{mm} \) and a mass of \( 4.50 \times 10^{-2} \, \rm{kg} \).

Your friend says it is pure gold. Which density do you derive for this rectangular piece of metal? And is it gold?

Express your answer in kilograms per cubic meter.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.
8. A student compresses a sponge. a) What happens to the volume of the sponge? Explain. b) What happens to its mass? Explain. c) What happens to the density? Explain. 9. A rectangular block of metal has dimensions of .02 m x .03 m x .04 m. a) If the mass of the block is .214 kg, find its density. b) Examine table 12.1 in your book. What metal is this block? c) Find the weight density of the block. 10. Look up the density of gold in table 12.1 of your book (or online is fine.) a) What would be the mass of 1 cubic meter of gold? b) Find the mass of a rectangular block of gold with dimensions .035 m x .040 m x .025 m. c) What is the weight density of gold? d) Find the weight of a rectangular block of gold with dimensions .035 m x .040 m x .025 m. 11. When a force is applied to a spring it stretches by 8 cm. a) By how much would the spring stretch if a force half as big was applied to it? b) What would be the stretch if a force three times the original force was applied to the spring? c)…
Question Help ▼ The density (p) of the atmosphere as a function of altitude (A) can be approximated by the model shown in the graph. What are the units of the constant -0.0001? O A. kg/m^3 O B. m^3/kg O C. kg m^3 p= 1.225 e0.0001 A O D. kg/m^2 O E. 1/m O F. m O G. m^2/kg O H. dimensionless Altitude (A) (m)
3. What is the mass of an iron sphere whose diameter is 58 cm? The density of iron is 7.9 x 10³ kg/m³?
Calculate the mass of a solid gold rectangular bar that has dimensions /wh = 5.10 cm x 15.0 cm x 20.0 cm. (The density of gold is 19.3 x 10³ kg/m³.) 0.3986e18 X Determine the volume of the gold bar and use the volume and the density of gold to find the mass of the bar. kg Need Help? Master It
9) A has a of 1300 g and a of 743 cm'. What is the of the SCIENCE 8-DENSITY CALCULATIONS WORKSHEET NAME: D A student measures the mass of an 8 cm’ block of brown sugar to be 12.9 g. What is the density of the brown sugar? 2) A chef fills a 50 mL container with 43.5 g of cooking oil. What is the density of the oil? 3) Calculate the mass of a liquid with a density of 2.5 g/mL and a volume of 15 mL. 4) Calculate the volume of a liquid with a density of 5.45 g/mL and a mass of 65 g. CLE 5) A machine shop worker records the mass of an aluminum cube as 176 g. If one side of the cube measures 4 cm, what is the density of the aluminum? ope 6) A teacher performing a demonstration finds that a piece of cork displaces 23.5 mL of water. The piece of cork has a mass of 5.7 g. What is the density of the cork? 7) A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? 10 cm 5 cm 8) A piece ofPVC plumbing pipe displaces 60 mL when placed into a…
The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:
(1) a. Gold is sold by the troy ounce (31.103 g). What is the volume (in cm3) of 2 troy ounces of pure gold? cm3 b. Mercury is commonly supplied in flasks containing 34.5 kg (about 76 Ib). What is the volume in liters of this much mercury? C. A straightforward method of finding the density of an object is to measure its mass and then measure its volume by submerging it in a graduated cylinder. What is the density (in g/cm?) of a 200 g rock that displaces 81.0 cm³ of water? (Note that the accuracy and practical applications of this technique are more limited than a variety of others that are based on Archimedes' principle.) g/cm3
What is the volume of a hat box (cylinder) in liters, which is 60.0cm in diameter and 38.5cmtall ? (V = πr2h) Explain how you got your answer.
how to determine volume and density with of a brass sphere with only the mass, length and diameter, when the mass is 72.3 grams and the diameter is 25.3?
2. Calculate the dimensions of the economic channel in the form of a trapezoid with a slope of 1. (horizontal), 2. (vertical) to pass a discharge of 40 m^3/s with an average speed of 0.8 m/s. What is the slope of the bottom of the channel if the Chezy coefficient C= 50 m^1/2/det