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
andreev551 [17]
2 years ago
7

The length and width of a rectangular room are measured to be 3.92 ± 0.0035 m and 3.15 ± 0.0055 m. In this problem you can appro

ximate the error on a product or quotient of quantities by the sum of the percent error on each quantity.A.) Calculate the floor area of the room in square meters B.) Calculate the uncertainty in this measurement in square meters.
Physics
1 answer:
Pavel [41]2 years ago
7 0

Answer:

A)A=12.2480\ m^2

B)12.2480\pm 0.1029\ m^2

Explanation:

<u>Given:</u>

Length of the room l= 3.92 ± 0.0035

Width of the room w= 3.15 ± 0.0055

A) Let A be the area of the room

A=l\times w\\A=3.92\times3.15\\A=12.2480\ \rm m^2

B)We will calculate uncertainty in each dimension

%uncertainty in length=\dfrac{0.0035}{3.92}\times 100=0.0892\ %

%uncertainty in width =\dfrac{0.0055}{3.15}\times 100=0.0174%

The uncertainty in area will be sum of uncertainty in length and width

%uncertainty in Area=  %uncertainty in length + %uncertainty in width

%uncertainty in Area=0.0892\ % + 0.0174\ %

%uncertainty in Area=0.0106

Uncertainty in Area=0.0106\times 12.2480=0.1029\ \rm m^2

There Area is12.2480 ± 0.1029\ \rm m^2

You might be interested in
Which of the following would be an example of positive eugenics?
bija089 [108]
Hello there.

<span>Which of the following would be an example of positive eugenics?

</span><span>A. Performing DNA research to eliminate breast cancer
</span>
3 0
3 years ago
Read 2 more answers
The tibia is a lower leg bone (shin bone) in a human. The maximum strain that the tibia can experience before fracturing corresp
IRISSAK [1]

Answer:

a

   k    =  11600000 N/m

b

   \Delta  L  =  3.2323 *10^{-5} \ m

c

  F =  3750.28 \  N  

Explanation:

From the question we are told that

    The Young modulus is  E =  1.4 *10^{10} \  N/m^2

     The length is  L  =  0.35 \ m

      The  area is  2.9 \ cm^2  =  2.9 *10^{-4} \ m ^2

   

Generally the force acting on the tibia is mathematically represented as

       F =  \frac{E *  A  *  \Delta  L }{L}    derived from young modulus equation

Now this force can also be mathematically represented as

      F =  k *  \Delta  L    

So

     k    =  \frac{E *  A  }{L}

substituting values

     k    =  \frac{1.4 *10^{10} *  2.9 *10^{-4}  }{ 0.35}

     k    =  11600000 N/m

    Since the tibia support half the weight then the force experienced by the tibia is  

        F_k  =  \frac{750 }{2}  =  375 \  N

 From the above equation the extension (compression) is mathematically represented as

          \Delta  L  =  \frac{ F_k  *  L  }{ A *  E }        

substituting values

           \Delta  L  =  \frac{  375   *  0.35  }{ (2.9 *10^{-4}) *   1.4*10^{10} }

           \Delta  L  =  3.2323 *10^{-5} \ m

From the above equation the maximum force is  

        F =  \frac{1.4*10^{10} *  (2.9*10^{-4})  *  3.233*10^{-5} }{ 0.35}  

         F =  3750.28 \  N  

4 0
3 years ago
Starting over, so here's some points! Take em<br> ~Jayden
Serhud [2]

Answer:

Thank you again!!!! :D

8 0
3 years ago
Read 2 more answers
Where does the heat come from that drives this convection current in the mantle
marta [7]

Answer:

Earth's interior (Core)

Explanation:

The earth is comprised of 3 distinct layers namely the Core, the Mantle and the Crust, which are divided based on their composition as well as density.

The core of the earth is extremely very hot where the inner core remains solid and outer core acts a liquid. It is mainly comprised of iron, nickel and other siderophile elements.

A large amount of heat (energy) is radiated from this core region towards the surface of the earth. Due to this, the mantle rocks forms magma that creates the convection currents, where the hot and less dense magma rises upward and the cool and denser magma sinks to the bottom. This occurs continuously, as a result of which the lithospheric plates are forced to move over the less dense layer of asthenosphere.

Thus, the heat energy that drives the convection current in the mantle is provided from the interior (core) of the earth.

3 0
3 years ago
The Pangaea theory supports the theory of plate tectonics because _____.
shutvik [7]
It is based on the idea that all the present continents were on supercontinent.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Convert 100dyne into joule​
    11·1 answer
  • Persuade a pet owner, who owns a 25kg dog, to restrain the pet while it is riding in the back of a pickup truck. INCLUDE 1st and
    11·1 answer
  • According to the concept of length contraction, what happens to the length of an object as it approaches the speed of ligh and t
    8·2 answers
  • 20 POINTS!! What does this picture look like ???
    8·1 answer
  • pectrum Inc., an automobile manufacturer, is interested in measuring the customer satisfaction of car owners. It decides to coll
    10·1 answer
  • Which of the following does not accurately depict a scientific theory?
    10·1 answer
  • PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them to the opposite terminals,
    6·1 answer
  • Two rubber bullets (each of the same mass) are fired at the same velocity towards two different blocks of equal mass. One block
    15·1 answer
  • How are solar flares different from solar prominences.
    12·2 answers
  • Topic : Collisions and Conservation of Momentum
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!