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
ioda
1 year ago
9

S To minimize neutron leakage from a reactor, the ratio of the surface area to the volume should be a minimum. For a given volum

e V , calculate this ratio for (a) a sphere
Physics
1 answer:
erastovalidia [21]1 year ago
3 0

To minimize neutron leakage from a reactor, the ratio of the surface area to the volume should be a minimum. For a given volume V the ratio of the sphere will be \frac{4.83598}{c^{\frac{1}{3} } }.

We know that the surface area and volume of the sphere is given by:

A=4 \pi r^{2}\\V=\frac{4}{3} \pi r^{3}

Therefore, the ratio between the surface area and the volume for the sphere will be:

\frac{A}{V}=\frac{4 \pi r^{2}\\}{\frac{4}{3} \pi r^{3}}=\frac{3}{r}

Equating the volume to the constant c, we will find the value of r.

V=c=\frac{4}{3} \pi r^{3}\\r= (\frac{3c}{4\pi} )^{\frac{1}{3} }

Substituting the value of r in the ration between surface area and volume, we get:

\frac{A}{V}=\frac{3}{ (\frac{3c}{4\pi} )^{\frac{1}{3} }}

Calculating the constants, we get:

\frac{4.83598}{c^{\frac{1}{3} } }

Hence, the ration between surface area and volume is \frac{4.83598}{c^{\frac{1}{3} } }

To learn more about surface area and volume of sphere, refer to:

brainly.com/question/4387241

#SPJ4

You might be interested in
An optical fiber is 1.0 meter long and has a diameter of 20 μm. Its ends are perpendicular to its axis. Its index of refraction
scoundrel [369]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The answer is a

Explanation:

The explanation is shown on the second uploaded image

6 0
3 years ago
A satellite is in a circular orbit 21000 km above the Earth’s surface; i.e., it moves on a circular path under the influence of
mina [271]

Answer:

(orbital speed of the satellite) V₀ = 3.818 km

Time (t) = 4.5 × 10⁴s

Explanation:

Given that:

The radius of the Earth is 6.37 × 10⁶ m;    &

the acceleration of gravity at the satellite’s altitude is 0.532655 m/s

We can calculate the orbital speed of the satellite by using the formula:

Orbital Speed (V₀) = √(r × g)

radius of the orbit (r) = 21000 km + 6.37 × 10⁶ m

                                  = (2.1 × 10⁷ + 6.37 × 10⁶) m

                                  = 27370000

                                  = 2.737 × 10⁷m

Orbital Speed (V₀) = √(r × g)

Orbital Speed (V₀) = √(2.737 × 10⁷  × 0.532655 )

                              = 3818.215

                              = 3.818 × 10³

                             = 3.818 Km

To find the time it takes to complete one orbit around the Earth; we use the formula:

Time (t) = 2 π × \frac{r}{V_o}

            = 2 × 3.14 × \frac{2.737*10^7}{3.818*10^3}

            = 45019.28

            = 4.5 × 10 ⁴ s

6 0
3 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!! SIGNIFICANT DIGITS!!!!!! THE ANSWER IS NOT −16.422​
Aleks04 [339]

Explanation:

What exactly are u looking for?

7 0
3 years ago
Read 2 more answers
Hii please help i’ll give brainliest if you give a correct answer please
Diano4ka-milaya [45]

Answer:

A

Explanation:

6 0
2 years ago
If the force of attraction (gravity) on the moon is 1/6 that of the force on Earth, what would
Aloiza [94]

I believe that you would weigh around 68 or 69 N, or 7 kilograms.

4 0
2 years ago
Other questions:
  • The driver of a pickup truck going 89.9 km/h applies the brakes giving the truck a uniform deceleration of 5.99 m/s^2 while it t
    6·1 answer
  • What is a control,constant, independent variable, and a dependent variable in a science experiment?
    10·1 answer
  • A. What quantum number of the hydrogen atom comes closest to giving a 61-nm-diameter electron orbit?
    10·1 answer
  • As Aubrey watches this merry-go-round for a total of 2 minutes, she notices the black horse pass by 15 times. What is the period
    11·2 answers
  • A small 22 kilogram canoe is floating downriver at a speed of 2 m/s. What is the canoe's kinetic energy
    15·2 answers
  • Which statement describes the redox reaction involved in photosynthesis?
    10·2 answers
  • An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. Calculate: a) The
    13·1 answer
  • Un pintor de 75.0 kg sube por una escalera de 2.75 m que está inclinada contra una pared vertical. La escalera forma un ángulo d
    12·1 answer
  • Which of the following is true about the speed of light?
    14·1 answer
  • a railway truck of mass 8000 kg travels along a level track at a velocity of 2.5 m s–1 and collides with a stationary truck of m
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!