1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katarina [22]
3 years ago
12

You’ve made the finals of the science Olympics. As one of your tasks you’re given 1.0 g of copper and asked to make a cylindrica

l wire, using all the metal, with a resistance of 1.3 Ω. How long will your wire be? What will be its diameter? The resistivity of copper is 1.7 x 10-8 Ωm. The mass density of copper is 8.96 g/cm3.
Physics
2 answers:
Pani-rosa [81]3 years ago
8 0

Answer:

Length = 2.92 m

Diameter = 0.11 mm

Explanation:

We have m = dl D \ \ \& \ \ \ R = \frac{\rho l}{A} , where:

l is the length

m = 1.0 g = 1 \times 10^{-3} \ kg\\R = 1.3 \ \Omega\\\rho = 1.7 \times 10^{-8} \Omega m\\d = 8.96 \ g/cm^3 = 8960 kg/m^3

We divide the first equation by the second equation to get:

\frac{m}{R} = \frac{d A^2}{\rho}

A^2 = \frac{m \rho}{dR} \\\\A^2 = \frac { 1 \times 10^{-3} \times 1.7 \times 10^{-8}}{8960 \times 1.3}\\\\A^2 = 1.5 \times 10^{-15}\\\\ A= 3.8 \times 10^{-8}   \ m^2

Using this Area, we find the diameter of the wire:

D = \sqrt{\frac{4A}{\pi}}

D = \sqrt{\frac{4 \times 3.8 \times 10^{-8} }{\pi}}

D = 0.00011 \ m = 1.1 \times 10^ {-4} = 0.11 \ mm

To find the length, we multiply the two equations stated initially:

mR = d\rho l^2\\\\l^2 = \frac{mR}{d\rho} \\\l^2 = \frac {1.0 \times 10^{-3} \times 1.3}{8960 \times 1.7\times 10^{-8}}

l^2 = 8.534\\l =   2.92 \ m

suter [353]3 years ago
4 0

Answer: length=8.55 meters, Diameter= 1.662×10-8meters

Explanation:

Resistivity= 1.7×10-8 ohm meter

Resistance= 1.3 ohm

Density= 8.96g/cm3 or 8960kgm-3

Mass= 1.0g or 1×10^-3kg

To obtain length= mass × resistance/ resistivity × density

= 1×10-3 × 1.3/1.7×10-8 × 8960

= 1.3×10-3/0.152×10-3

= 8.55 meters

Density = 4 × mass/ pi × Length × density

= 4 × 1×10-3/3.142 × 8.55× 8960

= 4×10-3/240702.336= 1.662×10-8 m

You might be interested in
At what speed relative to the ship does she recoil toward the spaceship?
Andre45 [30]
She recoil at a high speed than a low
7 0
3 years ago
When objects are forced to vibrate ( like when dropped onto a hard surface), they will do so at their
Marat540 [252]

They'll vibrate at their characteristic resonant frequency. That depends on the material the object is made of and its shape.


3 0
3 years ago
the maximum displacement of a particle, within a wave, above or below its equilibrium position, is called__________
Gre4nikov [31]

Answer:

the amplitude.

Explanation:

3 0
3 years ago
Read 2 more answers
You observe that a mass suspended by a spring takes 0.25 s to make a full oscillation. What is the frequency of this oscillation
Katarina [22]

Answer:

Frequency of oscillation, f = 4 Hz

time period, T = 0.25 s

Angular frequency, \omega = 25.13 rad/s

Given:

Time taken to make one oscillation, T = 0.25 s

Solution:

Frequency, f of oscillation is given as the reciprocal of time taken for one oscillation and is given by:

f = \frac{1}{T}

f = \frac{1}{0.25}

Frequency of oscillation, f = 4 Hz

The period of oscillation can be defined as the time taken by the suspended mass for completion of one oscillation.

Therefore, time period, T = 0.25 s

Angular frequency of oscillation is given by:

\omega = 2\pi \times f

\omega = 2\pi \times 4

\omega = 25.13 rad/s

5 0
3 years ago
MIDDLE SCHOOL: What are the three types of energy used when cleaning? (Please write them in order of occurrence)
tankabanditka [31]

Answer:

Chemical, mechanical, thermal i guess

7 0
3 years ago
Other questions:
  • All the mass we ever encounter is positive - nothing weighs less than zero. What makes us think charge is different that there a
    9·1 answer
  • Which of the following is not a step in the inquiry process?
    6·2 answers
  • How much energy is needed to generate 0.71 x 10-16 kg of mass?
    10·1 answer
  • Which of the following is NOT correct? . . a A changing electric field can produce a changing magnetic field . . b A steady magn
    7·2 answers
  • In general, fitness evaluations are meant to help you measure your physical fitness against those of similar age and gender
    5·2 answers
  • Water enters a student's house 10.0 m above the ground through a pipe with a cross section area of 1.00 x 10-4m2 at ground. Insi
    13·1 answer
  • Robert Hook discovered cells when viewing a _____ under a microscope.
    9·2 answers
  • Which statements describe acceleration? Check all that apply.
    8·1 answer
  • There is more than one answer
    9·2 answers
  • Helpppppppp pleaseeeee!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!