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
hichkok12 [17]
2 years ago
9

A glass rod and a steel rod are of equal length at 0C. At 100C they differ in length by

Physics
1 answer:
NeX [460]2 years ago
6 0

The given lengths at 0 °C are 2.5 m

Let l₀ be the given lengths of the glass and steel rods at 0 °C. Let l and l' be the lengths of the glass and steel rods at 100 °C respectively.

From our expression for linear expansivity,

l = l₀ + l₀αΔθ where α = linear expansivity of glass = 0.000008/°C and Δθ = temperature change = θ - θ' where θ = 100 °C and θ' = 0 °C. So, Δθ = 100 °C - 0 °C = 100 °C.

Also,

l' = l₀ + l₀α'Δθ where α' = linear expansivity of steel = 0.000012/°C and Δθ = temperature change = θ - θ' where θ = 100 °C and θ' = 0 °C. So, Δθ = 100 °C - 0 °C = 100 °C.

Since the difference in their lengths at 100 °C = 0.001 m, we have that

l - l' = l₀ + l₀αΔθ - (l₀ + l₀α'Δθ)

l - l' = l₀ + l₀αΔθ - l₀ - l₀α'Δθ)

l - l' = l₀αΔθ - l₀α'Δθ

l - l' = l₀(α- α')Δθ

Making l₀ subject of the formula, we have

l₀ = (l - l')/[(α- α')Δθ]

Substituting the values of the variables into the equation, we have

l₀ = (l - l')/[(α- α')Δθ]

l₀ = 0.001 m/[(0.000008/°C - 0.000012/°C)100 °C.]

l₀ = 0.001 m/[(-0.000004/°C)100 °C.]

l₀ = 0.001 m/-0.0004

l₀ = -2.5 m

Neglecting the negative sign,

l₀ = 2.5 m

So, the given lengths at 0 °C are 2.5 m

Learn more about linear expansion here:

brainly.com/question/14089545

You might be interested in
Starting at 9a.m., you ride your hover board for 3hrs at an average speed of 6 mph. Out of breath, you stop for tea from noon un
Elena-2011 [213]
3 times 6= 18. The average speed is 19 mph.

hope this helps!
6 0
2 years ago
The unit for energy is the​
nikitadnepr [17]

Explanation:

Joule (J) is the MKS unit of energy, equal to the force of one Newton acting through one meter.

4 0
3 years ago
A ladybug sits 10.8 cm from the center of a beatles music album spinning at 33.33 rpm. What is the maximum velocity (in m/s) of
snow_lady [41]

Answer:

The maximum velocity is 0.377 m/s

Explanation:

Please, the solution is in the Word file attached

Download docx
7 0
3 years ago
Read 2 more answers
A horizontal force of 400 N is exerted on a 2.0-kg ball as it rotates (at
frutty [35]

Answer:

the speed of the ball is 10 m/s

Explanation:

Given;

magnitude of exerted force, F = 400 N

mass of the ball, m = 2 kg

radius of the circle, r = 0.5

The speed of the ball is calculated by applying centripetal force formula;

F = \frac{mv^2}{r} \\\\v^2 = \frac{Fr}{m}\\\\v = \sqrt{\frac{Fr}{m}}\\\\ v = \sqrt{\frac{400*0.5}{2}}\\\\v = 10 \ m/s

Therefore, the speed of the ball is 10 m/s

6 0
3 years ago
Read 2 more answers
Which of the following best describes why tidal energy is considerd a renewable resorce?
Gemiola [76]

Answer:

It is green. Aside from being renewable, tidal energy is also an environmentally friendly energy source because it does not take up a lot of space and does not emit any greenhouse gases.

Explanation:

5 0
2 years ago
Other questions:
  • An isotope has 46 electrons, 60 neutrons, and 46 protons. Name the isotope.
    13·2 answers
  • According to Newton's third law of motion, if this snowy owl wants to increase its altitude, what must it do?
    5·2 answers
  • hows a map of Olivia's trip to a coffee shop. She gets on her bike at Loomis and then rides south 0.9mi to Broadway. She turns e
    10·1 answer
  • NASA sends an unmanned lander to test conditions on the surface of Mars. What is the magnitude of the gravitational force acting
    12·1 answer
  • I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!<br><br> Fill in the blanks
    14·1 answer
  • 6. Mass affects how fast an object falls.<br> True<br> False
    13·2 answers
  • I need help this is due today GIVING BRAINLIEST IM DESPERATE!
    12·1 answer
  • At 12 seconds what is the direction of the velocity of the rocket what is the direction of the acceleration rocket
    15·1 answer
  • N 4. Which of the following can cause a short circuit?
    9·1 answer
  • Please help ASAP please ASAP
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!