Give a reasonable order-of-magnitude estimate of the number of golf balls that would fill a home
swimming pool

Answers

Answer 1

An order of magnitude is a number of the form 10^n such that can be used to compare magnitudes or quantities.

We will find that  the order of magnitude of golf balls that fill a home swimming pool is 10^6

In this case, we want to estimate the number of golf balls that would fill a home swimming pool.

We know that the diameter of a golf ball is D = 42.6mm = 0.0426m

And the volume of a sphere of diameter D is:

V = (4/3)*pi*(D/2)^3

where pi = 3.14

Then the volume of a single golf ball is:

V =  (4/3)*3.14*( 0.0426m/2)^3 = 0.00004 m^3

Now we need to find the average volume of a home swimming pool, we can use 48 m^3 (an average one) to do the general math.

To find the number of golf balls that enter in that volume, we need to do the quotient between the volume of the pool and the volume of a single ball:

N = (48 m^3)/(0.00004 m^3)  = 1,200,000

If we round this to the next order of magnitude: 10^6 (the exponent is the number of digits at the right of the one)

Then the order of magnitude of golf balls that enter in a home swimming pool is  10^6

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Related Questions

No links please, links never work, this is science not physics
Which two claims about cats are most likely to be based on science?

A. Cats are the best animals to keep as pets.
B Whiskers help cats sense distances when hunting prey.
C. Cats spend more time sleeping than most other predators.
D. Seeing a black cat is likely to bring you bad luck.

Answers

Answer:

b and c are the answers

A is an opinion, D is a superstitious belief because they haven’t found Jesus obviously

a radioactive element has a half-life of 30 days. calculate the mass of the element that remains after 20 days if 100g of the element decays. Also, calculate the decay constant.

Answers

Explanation:

the answer is in the image above

Two trucks left the warehouse at the same time and drove in
the same direction along a straight road. One truck drove at 68
km/h while the other drove at 57 km/h. Find theirs distance
apart after2 hours.

Answers

Truck a
V = 68km/h
t = 2hours

Distance = speed * time

D = 68 * 2

D = 136km




Truck B

Speed = 57km/h

t = 2 hours

Distance = speed * time

D = 57 * 2

D = 114km


Distance travelled by truck A = 136 km

Distance travelled by truck B = 114km

Distance apart = 136km - 114km = 22km

Hence both the trucks will be 22kms apart.

Hope this helps. Plz let me know if you have any doubts.

10. Numerical problems:

b. A stone is thrown vertically upwards with an initial velocity of 20 m/sec.find the maximum height it reaches and the time taken by it to reach the height. (g = 10 m/s2).

c. A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds?

d. A bus starts from rest. If the acceleration is 2 m/s2, find
1. the distance travelled.
2. the velocity after 2 seconds.

e. A stone is thrown vertically upward with the velocity of 25 m/s. How longo it take to reach the maximum height? Also calculate the height.


with process please ​

Answers

Answer:

a)20 m,2s

Explanation:

Given

Initial velocity=20 m /sec

g=10 m/s square

v =0m/s

h =?

t =?

now,

v = U +gt

=v=20 +10t

Or,10t=20

Or,t=20

10

therfore ,2 s.

Again,

h=ut -1 gt square

2

Or, h=20×2-1×10(2)square (multiply and cut )2×5 =10

; 2

Or,40-5×4

therefore , 20m

For question e,

u = 25 ms-1
v = 0 m/s
a = -10m/s^2

We have to find time and distance,

For time,

v = u + at

Which can be rephrased as,

v - u/a = t

t = 0 - 25 / -10

t = 2.5 secs

Hence, the stone takes 2.5 secs to reach the maximum height.

To calculate the maximum height attained by the stone, we have to calculate distance/ displacement .

The formula for calculating distance is,

s = ut + 1/2at^2

s = 25 * 2.5 + 1/2 * -10 * 2.5 * 2.5

s = 62.5 + (- 31.25)

s = 62.5 - 31.25

s = 31.25mts

Hence, the maximum distance travelled by the stone is 31.25 meters.

Hope this helps you. Plz let me know if you have any doubts.

11. What is the resolution of this ruler? 6-centimeters​

Answers

six cm - centimeters

Worth 10 points! I will give brainliest!! Please help!!! See picture!

Answers

it contains iron. so it aligns with the magnetic Field lines

Answer:

The last option

Explanation:

maize is called monocot why?​

Answers

Answer:

Rice, wheat, maize all have one cotyledon in their seed, so they are monocots. Explanation: The monocot plants have a single cotyledon. They have a fibrous root system, leaves in monocots have parallel venation.

Explanation:

Mass is measured in
a) Litters
b) Centimeter
c) Newton
d) Kilogram

Answers

Answer:

d) Kilogram.

Hope it helps you

Mass is measured in

a) Litters

b) Centimeter

c) Newton

d) Kilogram

A train is moving with the velocity of 10m/s . It attains an acceleration of 4m/s after 5 sec . find the distance covered by train at that time.

Answers

Jdndbxndbsjanwndnfbdbdjdjd

A box is 300 kg & it covers the area of 150 m2 find the pressure exerted by the box in the ground.​

Answers

Answer:

If we assume that the box is a cube with 150 m² surface area

Area of 1 face = 150 m² / 6 = 25 m²

The box will exert a downward force of

Force = mass * acceleration due to gravity

Force = 300 kg * 9.81 m/s² N

Force = 2943 N

The box exerts a pressure ( force / unit area) = 2943 N / 25 m²

Pressure = 117.7 N/m²

Thank you, if you found this helpful please comment.

What's Centripetal force................

Answers

Answer:

a force that acts on a body moving in a circular path and is directed towards the centre around which the body is moving.

Answer:

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

what do you mean by acceleration of a body 10\s?

Answers

Answer:

it means that the body is moving with acceleration increased of 10m in every second.

If Bert the Bat travels eastward at 40 mph with a tailwind of 6 mph, what is his actual speed?

Answers

Answer:

36 mph.

Explanation:

Now Albert here is using the wind to his advantage but if say there was no wind then he would not have the 6 mph behind him so we subtract 6 from 40 to get 36. hope this helps :)

how many seconds are there in 1 day . solve along with steps​

Answers

One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 sec

if my answer helps you than mark me as brainliest

Answer:

[tex]thank \: you[/tex]

A shift inward of the production possibilities curve signifies that _

A. The demand for the products has increased, so the supply will increase
B. The available resources have increased, so potential production levels will increase
C. The available production resources have decreased, so potential production levels will decrease
D. The demand for the products has decreased so, the supply will decrease

Answers

Answer:

c

Explanation:

A shift inward of the production possibilities curve signifies that: C. The available production resources have decreased, so potential production levels will decrease.

A production possibilities curve (PPC) is also referred to as production possibilities frontier (PPF) and it can be defined as a curve that illustrates the maximum (best) combinations of two (2) products which can be produce in an economy if they both depend on these two (2) main factors;

Fixed technology. Fixed resources.

Basically, the production possibilities curve (PPC) illustrates the maximum combinations of goods that are available with fixed technology and resources.

Furthermore, an inward shift of the production possibilities curve (PPC) signifies that the available resources used for production have decreased, so potential production levels would also decrease.

Read more: https://brainly.com/question/17053992

tides occurs in oceans but not in lakes.why?​

Answers

Answer:

Explanation:

Tides occur in the ocean but nit in lakes because an ocean is a free flowing body of water that can travel a large area of the globe while a lake or pond only covers a small area of the earth so it is not affected by gravity as violently and in turn, prevents the formation of tides.

Can aurora be found in other planets?

Answers

Answer:

Yes

Explanation:

Any planet with a sufficiently dense atmosphere that lies in the path of the solar wind will have aurora. It has been discoveres in planets like Jupiter, Saturn, etc.

Answer:

yes

Explanation:

seharitat -The distance of a panet from the earth is 2.5 x 10^7 km and the gravitational force between them them is 3.82 x 10^18 N. Mass of the planet and earth are equal, each being 5.98 x 10^24 Kg. Calculate the universal gravitation constant.​

Answers

F=3.82×10^18NMass of earth=M=5.98×10^24kgMass of planet=m=5.98×10^24kgDistance=r=2.5×10^7km

Universal gravitation constant=G

We know

[tex]\boxed{\sf F=G\dfrac{Mm}{r^2}}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{Fr^2}{Mm}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{3.82\times 10^{18}(2.5\times 10^7)^2}{(5.98\times 10^{24})^2}[/tex](M=m)

[tex]\\ \sf\longmapsto G=\dfrac{3.82\times 10^{18}(6.25\times 10^{14})}{35.7\times 10^{48}}[/tex]

[tex]\\ \sf\longmapsto G=\dfrac{23.87\times 10^{32}}{35.7\times 10^{48}}[/tex]

[tex]\\ \sf\longmapsto G=0.668\times10^{-16}[/tex]

[tex]\\ \sf\longmapsto G=6.68\times 10^{-15}[/tex]

can sound waves propagate in vacuum if yes why if no why not??​

Answers

Answer:

please mark me brainliest

Explanation:

No, sound waves cannot travel in a vacuum. This is because sound waves are mechanical waves that need a medium (such as air and water) to travel. Sound in physics is defined as a vibration that propagates as an audible wave of pressure, through a medium such as a gas, liquid or solid.

14 km = m on conversions using a ladder method​

Answers

Using the metric units kilometer (km) and meter (m), as seen in the picture of the ladder method example. So, the answer would be 14km = 14000m

eo *Write any two uses of good condutor of heat​

Answers

any two uses of good conductor of heat are

aluminium, cooper, metal are good conductor of heat and they are used for making utensils.

gold, silver, are also good conductor of heat they are used for making jewelleries.

1 point
30. A ray passing through the centre of curvature of a concave mirror.
after reflection is reflected back along the same path. Which is the correct
figure for the above statement.

Answers

Explanation:

when the object is between the pole and focus

If a ball is rolling at a velocity of 1.5 m/s and has a momentum of 10.0 kg times m/s, what is the mass of the ball?

Answers

Answer:

Mass of the ball, M = 6.667 kg

Explanation:

Given data:

Momentum, Mo = 10.0 kgm/s

Velocity of the rolling ball, V = 1.5 m/s

Mass of the body, M = ?

Momentum, Mo = Mass, M x Velocity, V

10.0 kgm/s = M x 1.5 m/s

Divide each side by 1.5 m/s

M = 10.0 kgm/s / 1.5 m/s

M = (6⅔) kg

:. Mass of the ball, M = 6.667 kg

how do i solve this?

Answers

Answer:

hmmm i dont know....

Explanation:

i just wanted free point. TANKS YOU SIR!!

A wombat runs south in a straight line with an average velocity of 5 m/s for 4
minutes and then with an average velocity of 4 m/s for 3 minutes in the same
direction.
What is the wombats total displacement?
What is the average velocity during that time?

Answers

We have that

The wombats total displacement is

[tex]d_t=2100m[/tex]

The average velocity during that time is

[tex]v_{avg}=5m/s[/tex]

From the question we are told that:

initial Velocity [tex]V_1=5m/s[/tex]

initial Time [tex]T_1=4min=>240sec[/tex]

Final Velocity [tex]V_2=4m/s[/tex]

Final time  [tex]T_2=3min=>180sec[/tex]

a)

Generally, the equation for displacement is mathematically given by

d_t=(Initial +final) displacement

Where

initial displacement

[tex]d_1=V_1*t_1\\\\d_1=5*240[/tex]

[tex]d_1=1200m[/tex]

Final displacement

[tex]d_2=V_2*t_2\\\\d_2=5*180[/tex]

[tex]d_2=900m[/tex]

Therefore

[tex]d_t=(Initial +final) displacement[/tex]

[tex]d_t=1200+900[/tex]

[tex]d_t=2100m[/tex]

b)

Generally, the equation for Average velocity is mathematically given by

[tex]v_{avg}=\frac{d_t}{t_1+t_2}[/tex]

[tex]v_{avg}=\frac{2100m}{240+180}[/tex]

[tex]v_{avg}=5m/s[/tex]

in conclusion

The wombats total displacement is

[tex]d_t=2100m[/tex]

The average velocity during that time is

[tex]v_{avg}=5m/s[/tex]

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An ambulance is currently traveling at 15m/s, and is accelerating with a constant acceleration of 5 m/s^2. The ambulance is attempting to pass a car that is moving at a constant velocity of 30m/s. How far must the ambulance travel until it matches the car’s velocity?

Answers

initial velocity=15m/s=uAcceleration=a=5m/s^2Final velocity=v=30m/sDistance be s

Using 3rd equation of kinematics

[tex]\\ \rm\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \rm\longmapsto s=\dfrac{v^2-u^2}{2a}[/tex]

[tex]\\ \rm\longmapsto s=\dfrac{30^2-15^2}{2(5)}[/tex]

[tex]\\ \rm\longmapsto s=\dfrac{900-225}{10}[/tex]

[tex]\\ \rm\longmapsto s=\dfrac{675}{10}[/tex]

[tex]\\ \rm\longmapsto s=67.5m[/tex]


Bob the American has just driven his car across the Canadian border when he sees a
speed limit sign of 85 kilometers/hour. His speedometer only shows his speed in
miles/hour. Convert the kilometers to miles so that Bob doesn't get a speeding ticket.
(Conversions: 1 mile = 5280 ft; 1 foot = 12 in.; 1 inch = 2.54 cm

Answers

Answer:

it equals 53 miles per hour

A car has steady speed of 8m/s .How long does the car take to travel 160m​

Answers

Answer:

the time taken by the car to travel 160 m = 160/8= 20 s

Hope it helps!!!!!!

                                           Thank you

One astronomical unit (AU) is about 1.5 x 108 km. Explain why this is the same as 150 x 100 km.

Answers

Answer:

To change 150x106 km to scientific notation, the leading number must be reduced to a  

number between 1 and 9.99999.... To do this, one must dDIVIDE by 100, yielding 1.50.  

In order to keep the entire quantity the same, one must then MULTIPLY the exponential  

part of the number of 100. This is equivalent to increasing the exponent from 6 to 8.

Explanation:

hope this helps

Fun Fact: A cow-bison hybrid is called a “beefalo”

If a person walks forwards five meters but then moves back one meter,
what is their displacement?

Answers

The answer is 4 :0 :0

Answer:

4

Explanation:

because when u have 5 then take 1 away u have 4

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