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
Alecsey [184]
4 years ago
9

Find the separation of two points on the Moon's surface that can just be resolved by a telescope with a mirror diameter of 6.5 m

, assuming that this separation is determined by diffraction effects. The distance from Earth to the Moon is 3.82 x 105 km. Assume a wavelength of 550 nm. Number Units
Physics
1 answer:
Norma-Jean [14]4 years ago
8 0

To develop this problem it is necessary to apply the concepts related to the angular resolution of a telescope as well as to the arc length.

The arc length can be defined as

s = r\theta

Where

r= Radius

\theta = Angle

At the same time the angular resolution of a body is given under the proportion

\theta = 1.22\frac{\lambda}{D}

Where

\lambda= Wavelength

D = Diameter

Our values are given as

\lambda = 550*10^{-9}m

D = 6.5m

r = 3.82*10^5Km = 3.82*10^8m

Then the angle of separation of the two objects seen from the observer is of

\theta = 1.22 \frac{550*10^{-9}}{6.5}

\theta = 1.032*10^{-7}

Finally, using the proportion of the arc length, in which we have the radius and angle we can know the separation of the two objects by:

s = (3.82*10^8)(1.032*10^{-7})

s = 39.43m

You might be interested in
A square loop of side 7 cm is placed with the nearest side 2 cm from a long wire carrying a current that varies with time at a c
ioda

Answer:

Explanation:

side of the square loop, a = 7 cm

distance of the nearest side from long wire, r = 2 cm = 0.02 m

di/dt = 9 A/s

Integrate on both the sides

\int _{0}^{i}di =9\int _{0}^{t}dt

i = 9t

(a) The magnetic field due to the current carrying wire at a distance r is given by

B = \frac{\mu_{0}i}{2\pi r}

B = \frac{\mu_{0}\times 9t}{2\pi r}

(b)

Magnetic flux,

\phi=\int B\times a dr

\phi=\int \frac{\mu_{0}\times 9t}{2\pi r}\times a dr

\phi=\frac{\mu_{0}\times 9t\times a}{2\pi}\times ln\left ( \frac{2 + 7}{2} \right )

\phi=\frac{\mu_{0}\times 9t\times 0.07}{2\pi}\times ln(4.5)

\phi = 1.89 \times 10^{-7}t

(c)

R = 3 ohm

e = -\frac{d\phi}{dt}

magnitude of voltage is

e = 1.89 x 10^-7 V

induced current, i = e / R = (1.89 x 10^-7) / 3

i = 6.3 x 10^-8 A

8 0
3 years ago
Water flows over the edge of a waterfall at a rate of 1.2 x 10^6 kg/s. There are 50.0 m between the top and bottom of the waterf
Anit [1.1K]

Answer:

5.88×10⁸ W

Explanation:

Power = change in energy / time

P = mgh / t

P = (m/t) gh

P = (1.2×10⁶ kg/s) (9.8 m/s²) (50.0 m)

P = 5.88×10⁸ W

4 0
3 years ago
Read 2 more answers
1. A racing car with the driver weighs 1825 lb. Find the kinetic energy in ft*lb when traveling with a speed of 100 mi/hr.
Svetlanka [38]

Answer:

1. 610,000 lb ft

2. 490 J

Explanation:

1. First, convert mi/hr to ft/s:

100 mi/hr × (5280 ft / mi) × (1 hr / 3600 s) = 146.67 ft/s

Now find the kinetic energy:

KE = ½ mv²

KE = ½ (1825 lb / 32.2 ft/s²) (146.67 ft/s)²

KE = 610,000 lb ft

2. KE = ½ mv²

KE = ½ (5 kg) (14 m/s)²

KE = 490 J

6 0
4 years ago
If a train travels 80 miles north, 60 miles east, what’s the magnitude of its total displacement? Find the solution by drawing a
AnnZ [28]

Answer:

100 miles North East.

Explanation:

Please see attached photo for diagram.

In the attached photo, X represents the magnitude of the total displacement of the train.

Thus, we can obtain the value of X by using the pythagoras theory as illustrated below:

X² = 80² + 60²

X² = 6400 + 3600

X² = 10000

Take the square root of both side

X = √10000

X = 100 miles.

Therefore, the magnitude of the total displacement of the train is 100 miles North East.

8 0
3 years ago
4.39 moles of gas in a box has a pressure of 2.25 atm at temperature of 385K. What is the volume of the box?
bazaltina [42]

Answer:

0.0619 m^3

Explanation

number of moles = n = 4.39 mol

pressure = P = 2.25 atm =2.25×1.01×10^5 Pa= 2.27×10^5 Pa

Molar gas constant =R = 8.31 J/(mol K)

Temperature T= 385K

volume of gas = V =?

BY GENERAL GAS LAW WE HAVE

PV = nRT

or V = nRT/P

or V = (4.39×8.31×385)/(2.27×10^5)

V = 0.0618728

V =  0.0619 m^3

5 0
4 years ago
Read 2 more answers
Other questions:
  • Calculating the Force of friction
    13·1 answer
  • what is the electric force between a glass ball that has 2.5 uc charge and a rubber ball that has a -1.5 uc charge when they are
    11·2 answers
  • I NEED HELP BADLY
    8·1 answer
  • a 2.0 kg block slides on the horizontal, frictionless surface until it counters a spring force constant with
    5·1 answer
  • What is the function of an electrical motor in terms of electric power and motion?
    12·1 answer
  • +
    11·1 answer
  • When padding a canoe you push the water backwards with the paddle which in turn will push you forward.which law of motion is bei
    15·2 answers
  • What branch of science does anatomy fall under?
    11·1 answer
  • A sixth grader moves down the hall at 1.2 m/s. When he sees a bunch of eighth graders coming, he
    9·1 answer
  • In a doorknob, the knob is connected to a shaft. When the knob turns, the shaft turns,which moves the door latch. The radius of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!