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
FinnZ [79.3K]
3 years ago
10

Earth has a surface area of 197 million square miles. Convert this area into each of the following units.

Physics
1 answer:
slamgirl [31]3 years ago
7 0

Answers:

a) 510,225,121.4 km^{2}

We know the Earth's surface area in square miles is:

197000000 mi^{2}

On the other hand, we know 1 mi=1.60934 km.

Then:

197000000 mi^{2} \frac{(1.60934 km)^{2}}{1 mi^{2}}=510,225,121.4 km^{2}

b) 510.225 Mm^{2}

In this part, we can work with the obtained value in part a:

510,225,121.4 km^{2}

And knowing 1 km=0.001 Mm

Hence:

510,225,121.4 km^{2} \frac{(0.001 Mm)^{2}}{1 km^{2}}=510.225 Mm^{2}

c) 5.1022(10)^{16} dm^{2}

Knowing 1 Mm=10^{7} dm:

510.225 Mm^{2} \frac{(10^{7} dm)^{2}}{1 Mm^{2}}=5.1022(10)^{16} dm^{2}

You might be interested in
A circular ring with area 4.45 cm2 is carrying a current of 13.5 A. The ring, initially at rest, is immersed in a region of unif
Gwar [14]

Answer:

a) ( 0.0015139 i^ + 0.0020185 j^ + 0.00060556 k^ ) N.m

b) ΔU = -0.000747871 J

c)  w = 47.97 rad / s

Explanation:

Given:-

- The area of the circular ring, A = 4.45 cm^2

- The current carried by circular ring, I = 13.5 Amps

- The magnetic field strength, vec ( B ) = (1.05×10−2T).(12i^+3j^−4k^)

- The magnetic moment initial orientation, vec ( μi ) = μ.(−0.8i^+0.6j^)  

- The magnetic moment final orientation, vec ( μf ) = -μ k^

- The inertia of ring, T = 6.50×10^−7 kg⋅m2

Solution:-

- First we will determine the magnitude of magnetic moment ( μ ) from the following relation:

                    μ = N*I*A

Where,

           N: The number of turns

           I : Current in coil

           A: the cross sectional area of coil

- Use the given values and determine the magnitude ( μ ) for a single coil i.e ( N = 1 ):

                    μ = 1*( 13.5 ) * ( 4.45 / 100^2 )

                    μ = 0.0060075 A-m^2

- From definition the torque on the ring is the determined from cross product of the magnetic moment vec ( μ ) and magnetic field strength vec ( B ). The torque on the ring in initial position:

             vec ( τi ) = vec ( μi ) x vec ( B )

              = 0.0060075*( -0.8 i^ + 0.6 j^ ) x 0.0105*( 12 i^ + 3 j^ -4 k^ )

              = ( -0.004806 i^ + 0.0036045 j^ ) x ( 0.126 i^ + 0.0315 j^ -0.042 k^ )

- Perform cross product:

          \left[\begin{array}{ccc}i&j&k\\-0.004806&0.0036045&0\\0.126&0.0315&-0.042\end{array}\right]  = \left[\begin{array}{ccc}-0.00015139\\-0.00020185\\-0.00060556\end{array}\right] \\\\

- The initial torque ( τi ) is written as follows:

           vec ( τi ) = ( 0.0015139 i^ + 0.0020185 j^ + 0.00060556 k^ )

           

- The magnetic potential energy ( U ) is the dot product of magnetic moment vec ( μ ) and magnetic field strength vec ( B ):

- The initial potential energy stored in the circular ring ( Ui ) is:

          Ui = - vec ( μi ) . vec ( B )

          Ui =- ( -0.004806 i^ + 0.0036045 j^ ) . ( 0.126 i^ + 0.0315 j^ -0.042 k^ )

          Ui = -[( -0.004806*0.126 ) + ( 0.0036045*0.0315 ) + ( 0*-0.042 )]

          Ui = - [(-0.000605556 + 0.00011)]

          Ui = 0.000495556 J

- The final potential energy stored in the circular ring ( Uf ) is determined in the similar manner after the ring is rotated by 90 degrees with a new magnetic moment orientation ( μf ) :

          Uf = - vec ( μf ) . vec ( B )

          Uf = - ( -0.0060075 k^ ) . ( 0.126 i^ + 0.0315 j^ -0.042 k^ )

          Uf = - [( 0*0.126 ) + ( 0*0.0315 ) + ( -0.0060075*-0.042 ) ]

          Uf = -0.000252315 J

- The decrease in magnetic potential energy of the ring is arithmetically determined:

          ΔU = Uf - Ui

          ΔU = -0.000252315 - 0.000495556  

          ΔU = -0.000747871 J

Answer: There was a decrease of ΔU = -0.000747871 J of potential energy stored in the ring.

- We will consider the system to be isolated from any fictitious forces and gravitational effects are negligible on the current carrying ring.

- The conservation of magnetic potential ( U ) energy in the form of Kinetic energy ( Ek ) is valid for the given application:

                Ui + Eki = Uf + Ekf

Where,

             Eki : The initial kinetic energy ( initially at rest ) = 0

             Ekf : The final kinetic energy at second position

- The loss in potential energy stored is due to the conversion of potential energy into rotational kinetic energy of current carrying ring.    

               -ΔU = Ekf

                0.5*T*w^2 = -ΔU

                w^2 = -ΔU*2 / T

Where,

                w: The angular speed at second position

               w = √(0.000747871*2 / 6.50×10^−7)

              w = 47.97 rad / s

6 0
3 years ago
Southern state and local elections in 1876 differed from those in previous years in that
oksano4ka [1.4K]

Answer:

Southern state and local elections in 1876 differed from those in previous years in that the election of 1876 was one of the closest races in American history. It tested the Constitution and resulted in a compromise that ended Reconstruction in America.

The election of 1876 between Rutherford B. Hayes and Democrat Samuel Tilden of New York was one of the most hostile, controversial campaigns in American history. The vote was 8-7 along party lines to award the disputed electoral college votes to Hayes, making him the winner.

Explanation:

The Compromise of 1876 is known for being the catalyst for the end of Reconstruction era, it was one of the most contentious and controversial presidential elections in American history.

Republican nominee Rutherford B. Hayes faced Democrat Samuel J. Tilden. After a controversial post-election process, He lost the popular vote to Democrat Samuel J. Tilden but he won an intensely disputed electoral college vote after a Congressional commission awarded him twenty contested electoral votes Hayes was declared the winner. The Hayes-Tilden Compromise is often seen as the final point that brought an end to Reconstruction, as it led to the removal of the US army from the South.

As Florida's Supreme Court had earlier declared a Democratic victory in the 1876 gubernatorial election, Democrats had been restored to power all across the South. The Compromise of 1876 effectively ended the Reconstruction era.

Southern Democrats' promised to protect civil and political rights of blacks as they were not kept, and to end of federal interference in southern affairs. This led to widespread disenfranchisement of blacks voters. Other factors that contributed to the end of Reconstruction were the Panic of 1873 and political corruption in the United States.

The Compromise of 1877 (the Great Betrayal) was an informal, unwritten deal, that settled the intensely disputed 1876 U.S. presidential election. It resulted in the United States federal government pulling the last troops out of the South, and formally ended the Reconstruction Era.

8 0
3 years ago
Solve the equation x=3logy2 for y.
melisa1 [442]

X = 3 · log(Y²)

X = 3 · 2·log(Y)

X/6 = log(Y)

10^(X/6) = 10^log(Y)

Y = 10^(X/6)

6 0
3 years ago
Read 2 more answers
Một lò xo có cấu tạo đồng đều, chiều dài l0 và độ cứng k0 = 30 N/m. Cắt lò xo thành hai phần có chiều dài tương ứng l1 và l2, độ
olchik [2.2K]

Answer:

a.tinh do cung k1 va k2 bhsj nshsvsg sjjejsjjsj

5 0
3 years ago
Which of the following will cause an increase in gas pressure in a closed container?
Shalnov [3]
The answer is A. Or the first option. Pressure is changed by lowering the pressure, not reducing the volume. You would assume its C but its A. 
5 0
3 years ago
Other questions:
  • The main purpose of a service panel in a house is to A. keep the meter working correctly. B. connect the service drop to the hou
    5·2 answers
  • The most common purpose for fracking in the u.s is to get
    12·1 answer
  • This version of Einstein’s equation is often used directly to find what value?
    14·2 answers
  • A student uses an indicator to measure the pH of a solution. The indicator shows a pH of 7. What must be true of this solution?
    13·2 answers
  • A direct result of european exploration of north america during the 1500s and early 1600s was the
    13·1 answer
  • The distance between an object and a reference point is the object's what?
    12·2 answers
  • Please Help Me!!!
    7·1 answer
  • Can u pls help me ........
    9·1 answer
  • 2. CHARLES MANSON WAS DIAGNOSED WITH
    14·1 answer
  • Which of these periodic motions are simple harmonic?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!