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
aliya0001 [1]
3 years ago
7

A mine elevator is supported by a single steel cable 0.0125 m in diameter. The total mass of the elevator cage and occupants is

6450 kg. By how much does the cable stretch when the elevator hangs by 362 m of cable? (Neglect the mass of the cable. Young’s modulus for steel is 2.11 x 1011 N/m
Physics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

0.8895m

Explanation:

Cable diameter = 0.0125m

Mass of elevator = 6450kg

Young Modulus(E) = 2.11*10¹¹N/m

∇l (change in length) =

L = 362m

A = Πr², but r = d / 2 = 0.0125 / 2 = 0.00625m

A = 3.142 * (0.00625)² = 1.227*10^-4m²

Young Modulus (E) = Tensile stress / Tensile strain

E = (F / A) / ∇l / L

F = mg = 6450 * 9.8 = 63210N

2.11*10¹¹ = (63210 / 1.22*10^-4) / (∇l / 362)

2.11*10¹¹ = 5.18*10⁸ / (∇l / 362)

2.11*10¹¹ = (5.18*10⁸ * 362) / ∇l

2.11*10¹¹ = 1.875*10¹¹ / ∇l

∇l = 1.875*10¹¹ / 2.11*10¹¹

∇l = 0.8895m

The change in length is 0.8895m

You might be interested in
Temperature Dependence of the pH of pure Water
Mamont248 [21]

Answer:

At 100°C, the pH of pure water is 6.14. That is the neutral point on the pH scale at this higher temperature. A solution with a pH of 7 at this temperature is slightly alkaline because its pH is a bit higher than the neutral value of 6.14.

Explanation:

nonde

8 0
3 years ago
If you put 120 volts of electricity through a pickle, the pickle will smoke and start glowing orange-yellow. The light is emitte
Alona [7]

Answer:

2.11eV

Explanation:

We know that speed of light is it's wavelength times frequency.

\therefore f=v/\lambda\\=(3\times10^8m/s)/(589mm\times1m/1\times 10^9nm)\\=5.09\times10^1^4s^-1 \ or \ 5.09\times10^1^4Hz

Planck's constant is 6.626\times 10^3^4Js

The energy gap is calculated by multyplying the light's frequency by planck's constant:

E_c=5.09\times10^1^4s^-^1\times 6.626\times10^-^3^4Js\\\\=3.37\times 10^-^1^9J  \ \ \ \ \ \ #1eV=1.06\times 10^-^1^9J\\\\=2.11eV

Hence, the energy gap is 2.11eV

4 0
3 years ago
Susan
maxonik [38]
D. Was a leader in the woman's suffrage movement
7 0
3 years ago
NEED NOW ALMOST DUE
Arte-miy333 [17]

Answer:

Asteroids are objects made of clay and silicate  that orbit the sun but are too small to be considered planets.

Most asteroids revolve around the sun in an orbit between those of Mars and Jupiter.

They form a wide band called the Asteroid belt.

Other asteroids have orbits that cross Earth’s orbit. These asteroids are called  Earth-crossers.

Asteroids probably consist of matter that never agglomerated into a planet when the solar system was forming.

The comet’s core is composed of ice and dust.

Comets heat up and begin to change from a solid to a gas as they approach the sun.

The matter surrounding a comet’s core is vaporized and forms a very bright halo of ice or dust not sure, and an enormous cloud of dust or gasses not sure envelopes the head of the comet.

7 0
3 years ago
QUICK!!!!! QUESTION ATTACHED!!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Molodets [167]

Answer:

A  works to find magnitude. The leading negative sign gives us the positive magnitude after the correct velocity is found without it.

8 0
3 years ago
Other questions:
  • An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made fro
    5·1 answer
  • Consider the roller coaster on the track. If you want to increase the kinetic energy of the roller coaster as it proceeds throug
    5·1 answer
  • How far away is mars from the sun. why is is red?
    6·1 answer
  • Which is an example of conduction?
    10·2 answers
  • Elements in an blank or blank of the periodic table have similar characteristics
    15·1 answer
  • Jim is driving a 2268-kg pickup truck at 30.0m/sand releases his foot from the accelerator pedal. The car eventually stops due t
    8·1 answer
  • Plz help I need the answers to this ASAP
    9·1 answer
  • Stephanie is riding her bicycle to the park. The chemical energy used to pedal the bicycle is transformed into __________.
    12·2 answers
  • How does the density of most metals compare to most non metals?
    11·1 answer
  • A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second; and the m
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!