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
qaws [65]
3 years ago
6

An aluminum-alloy rod has a length of 10.0 cm at 20°C and a length of 10.015 cm at the boiling point of water (1000C). (a) What

is the length of the rod at the freezing point of water (0 0C)? (b) What is the temperature if the length of the rod is 10.009 cm? /4mks
Physics
1 answer:
nikitadnepr [17]3 years ago
8 0

Answer:

a.  9.99625 cm b. 68 °C

Explanation:

(a) What is the length of the rod at the freezing point of water (0 0C)?

Before we find the length of the rod, we need to find the coefficient of linear expansion, α = (L - L₀)/[L₀(T - T₀)] where L₀ = length of rod at temperature T₀ = 10.0 cm, T₀ = 20 °C, L = length of rod at temperature T = 10.015 cm and T = 100 °C

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

α = (L - L₀)/[L₀(T - T₀)]

α = (10.015 cm - 10.0 cm)/[10.0 cm(100 °C - 20 °C)]

α = 0.015 cm/[10.0 cm × 80 °C]

α = 0.015 cm/[800.0 cm °C]

α = 0.00001875 /°C

We now find the length L₁ at T₁ = 0 °C from

L₁ = L₀(1 + α(T₁ - T₀))

So, substituting the values of the variables into the equation, we have

L₁ = L₀(1 + α(T₁ - T₀))

L₁ = 10.0 cm[1 +  0.00001875 /°C(0° C - 20 °C)]

L₁ = 10.0 cm[1 +  0.00001875 /°C × -20° C]

L₁ = 10.0 cm[1 - 0.000375]

L₁ = 10.0 cm[0.999625]

L₁ = 9.99625 cm

(b) What is the temperature if the length of the rod is 10.009 cm?

With length L₃ = 10.009 cm at temperature T₃, using

L₃ = L₀(1 + α(T₃ - T₀))

making T₃ subject of the formula, we have

L₃/L₀ = 1 + α(T₃ - T₀)

L₃/L₀ - 1 = α(T₃ - T₀)

T₃ - T₀ = (L₃/L₀ - 1)/α

T₃ = T₀ + (L₃/L₀ - 1)/α

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

T₃ = 20 °C + (10.009 cm/10.0 cm - 1)/0.00001875 /°C

T₃ = 20 °C + (1.0009 - 1)/0.00001875 /°C

T₃ = 20 °C + 0.0009/0.00001875 /°C

T₃ = 20 °C + 48 °C

T₃ = 68 °C

You might be interested in
Based on the information in the table, which mineral is LEAST likely to be found in Earths rocks
erik [133]

C. Magnesium

Because it has the lowest number. :)

3 0
3 years ago
A nerve signal travels 150 meters per second. Determine the number of kilometers that the nerve signal will travel in the same t
joja [24]

Explanation:

It is given that,

A nerve signal travels 150 meters per second. It is the speed of the nerve signal. We need to convert the number of kilometers that the nerve signal will travel in the same time.

We know that,

1 kilometer = 1000 meter

1 hour = 3600 seconds

150\ \dfrac{m}{s}=150\times \dfrac{1/1000\ km}{1/3600\ h}

150\ m/s=540\ km/h

So, the nerve signal will travel at the rate of 540 km/h. Hence, this is the required solution.

6 0
3 years ago
The analysis of how people relate to each other is known as
Colt1911 [192]
Anthropology 

Hope this helps! ^-^
4 0
3 years ago
50 points if brainliest !!!!!!!!!!
Natasha_Volkova [10]

Answer:

weight = mg \\  = 70 \times 10 \\  = 700 \: newtons

force = 700 \: newtons

force = mass \times acceleration \\ 700 = 70 \times a \\ a = 10 \:  {ms}^{ - 2}

4 0
3 years ago
An object on the surface of the earth has a force of gravity of 682 N. What is the objects mass?
valina [46]
The object's mass is around 69.592 kg

F=mg
5 0
3 years ago
Other questions:
  • When the time of day for a certain ship at sea is 12 noon, the time of day at the prime meridian (0 longitude0 is 5 pm. what is
    9·1 answer
  • An object's (mass or weight) will remain constant throughout the universe, but its (mass or weight) can change from planet to pl
    10·2 answers
  • One hundred turns of insulated copper wire are wrapped around an iron core of cross-sectional area 0.100m2. As the magnetic fiel
    15·1 answer
  • Victoria has a crate of vegetables that weighs 100 newtons. She exerts a force of 100 newtons to lift the crate with a pulley. W
    9·2 answers
  • Find the minimum thickness (in nm) of a soap bubble that appears green when illuminated by white light perpendicular to its surf
    14·1 answer
  • How is thermal energy transferred during conduction? Check all that apply.
    5·1 answer
  • Has anyone done this i need answers
    10·2 answers
  • 8
    14·1 answer
  • Can mechanical energy be used to do work?
    8·1 answer
  • What is radioactivity????​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!