The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an exquisitely sensitive balance to measure the force between two lead spheres whose centers were 0.27 m apart. One of the spheres had a mass of 188 kg, while the mass of the other sphere was 0.93 kg.
What was the ratio of the gravitational force between these spheres to the weight of the lighter sphere?

Answers

Answer 1

The gravitational force between the spheres is

[tex]F_{\rm g}=\dfrac{G(188\,\mathrm{kg})(0.93\,\mathrm{kg})}{(0.27\,\mathrm m)^2}\approx1.6\times10^{-7}\,\mathrm N[/tex]

where G = 6.674 x 10⁻¹¹ N m²/kg².

The weight of the lighter sphere is

[tex]F_{\rm w}=(0.93\,\mathrm{kg})g\approx9.1\,\mathrm N[/tex]

where g = 9.80 m/s².

The ratio between the two forces is then

[tex]\dfrac{F_{\rm g}}{F_{\rm w}}\approx1.8\times10^{-8}[/tex]


Related Questions

17
Drag the tiles to the correct boxes to complete the pairs.
Match each interaction with its example.
commensalism
mutualism
parasitism
competition
Giardia lamblia, a microorganism, invades the cells of the small intestine in humans,
absorbs nutrients, and causes diarrhea in its host.
Ants protect aphids from their predators, ladybugs, in return for honeydew.
Two species of grass in an ecosystem require water and the same nutrients.
A barnacle attaches to a whale for transport, but does not affect the whale.
Reset
Next

Answers

Answer:

Giardia lamblia, a microorganism, invades the cells of the small intestine in humans,

absorbs nutrients, and causes diarrhea in its host is an example of parasitism

Explanation:

Ants protect aphids from their predators, ladybugs, in return for honeydew.is an example of mutualism

Two species of grass in an ecosystem require water and the same nutrients is an example of competition

A barnacle attaches to a whale for transport, but does not affect the whale is an example of commensalism.

Interactions or relationships between organisms can occur where one or both organisms derive benefits from each other.

What are ecological relationships?

Ecological relationships are relationships between two or more organisms on how they obtain their food as well as other requirements for survival.

Some feeding relationships include:

commensalismmutualismparasitismcompetition

Examples of the relationships above are:

Parasitusm- Giardia lamblia, a microorganism, invades the cells of the small intestine in humans, absorbs nutrients, and causes diarrhea in its host.Mutualism - Ants protect aphids from their predators, ladybugs, in return for honeydew.Competituon - Two species of grass in an ecosystem require water and the same nutrients.Commensalism- barnacle attaches to a whale for transport, but does not affect the whale.

Therefore, relationships between organisms can occur where one or both organisms derive benefits from each other.

Learn more about commensalism and parasitism at: https://brainly.com/question/2437776

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An airplane has a maximum airspeed velocity of 140 mph South. If the wind is 60 mph West, what is the resultant velocity (groundspeed) and direction of the airplane?

Answers

Answer:

R∠          is  152,3 ∠ 246,8

Explanation:

We need to add (vectorially)  these two velocities. We can choose the coordinates system just that speed of the airplane is the negative part of the y-axis, and negative region of the x-axis, for wind speed, according to

this, the module of the resultant velocity R is:

R =√ (60)² + (140)²

R = √( 3600) + ( 19600)

R =√ 23200

R = 152,315 mph

The tangent of the angle (α )  between R and the y-axis is:

tan α = 60/140

tan α = 0,4286

From tangent tables, we get arctan 0.4286  

α = 23,2⁰

Then R∠    is  152,3 ∠ 246,8

Answer:

R∠          is  152,3 ∠ 246,8

What is the example of stop moving

Answers

Answer:

Example:

A car applying brake.

A player catching a bowl.

What was the instantaneous speed of Bear A at 5 seconds in meters/min? (No unit conversions necessary, no units required for answer. Type your answer.)

Answers

Answer: The answer is 40.

Explanation: There is a typo, they mean 5 minutes. Five minutes is the line between zero and 10, and the dot matches up at 5 and 200. 200 divided by 5= 40.

PLEASE HELP!!!! Which is the best example of a non-inertial frame of reference? (1 point)
A. a roller coaster maintaining its speed as it curves around a bend
B. a falling feather in which the upward force due to air resistance equals the force of gravity
C. a spaceship traveling at 947 m/s with its engines off
D. a boat at rest on calm water

Answers

Answer: B

Explanation:

A - No, because this has nothing to do with curves

B - Yes, because it explains gravity and it it forced down by gravity

C - No, because this has nothing to do with a rocket ship an dhow much it can travel per #.

D - No, because This has nothing to do with a boat on water and it explain nothing about gravity or how fast it is.

                                            I Hope This Helped!

Answer:a roller coaster maintaining its speed as it curves around a bend

Explanation: gradpont

Lien is pushing a box across a table. She used a force of 100 N to get the box moving. Which force did she overcome
to get the box moving?
O the downward force of gravity on the box
O the upward force of the table on the box
the reaction force on the box
O the push force on the box

Answers

Answer:

the reaction force on the box

Explanation:

In order to push or pull an object, an external force is needed to overcome the weight of that object. This force is called ACTION FORCE. However, according to 3rd law of Newton, which states that for every action, there is an equal and opposite reaction, an opposite force counters the object in an opposite direction. This force is called REACTION FORCE.

According to this question, Lien is pushing a box across a table. She used a force of 100 N to get the box moving. This means that she had to overcome an opposite force called REACTION FORCE, with an ACTION FORCE of 100N

Answer:

C. the reaction force on the box

Explanation:

i literally just finished the quiz

(QUICK THIS IS DUE IN FIVE MINUTES) Please select A, B, or C

Answers

Answer:

a

Explanation:

Answer:

A

Explanation:

Which example illustrates Newton's second law?

Answers

Answer:

Newtons third law states, "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object."

Explanation:

an illustration of this would probably be a missile.

Answer: C. “More mass is added to a wheelbarrow remains, and larger forces required to move it”

A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? It will be cut in half. It will double. It will become eight times as large. It will be cut to one-quarter its original size. It will become four times as large.

Answers

Answer:

It will be cut in half

Explanation:

The diffraction of a slit is given by the formula

a sin θ = m where

a = width of the slit,

λ = wavelength and

m = integer that determines the order of diffraction.

Next we divide both sides by a, we have

sin θ = m λ / a

Also, recall that

a’ = 2 a

Then we substitute in the previous equation

2asin θ' = m λ, if divide by 2a, we have

sin θ' = (m λ / 2a).

Now again, from the first equation, we said that sin θ = m λ / a, so we substitute

sin θ ’= sin θ / 2

Then we use trigonometry to find the width, we say

tan θ = y / L

Since the angle is small, we then have

tan θ = sin θ / cos θ

tan θ = sin θ, this then means that

sin θ = y / L

we will then substitute

y’ / L = y/L 1/2

y' = y / 2

this means that when the slit width is doubled the pattern width will then be halved

The bodies of many cars are designed to compress or crumple during an accident. Why are cars built with a crumple zone?

Answers

By collapsing and crumpling, the force and energy is absorbed by the crumple zone and it is not transferred to the passengers inside. This is a safety feature for the passengers.

Which two types of waves require matter in order to travel A:light waves B:sound waves C:electromagnetic waves D:Water waves

Answers

Answer:

Sound Waves

Light Waves

Explanation:

I WILL MARK YOU AS BRAINLIEST IF RIGHT
A 2300 kg bus travels 15 miles in 0.75 hours . What is the average speed of the bus?

Answers

20km/hr

explanation:
15/0.75

A two-liter bottle of your favorite beverage has just been removed from the trunk of your car. The temperature of the beverage is 35°C, and you always drink your beverage at 10°C. (a) How much heat energy must be removed from your two liters of beverage (in kJ)? (b) You are having a party and need to cool 10 of these two-liter bottles in one-half hour. What rate of heat removal, in kW, is required? (c) Assuming that your refrigerator can accomplish this and that electricity costs 8.5 cents per kW-hr, how much will it cost to cool these 10 bottles (in $)?

Answers

Answer:

a) 209.3 kilojoules must be removed from two liter of beverage, b) A rate of heat removal of 1.163 kilowatts is required to cool down 10 2-liter bottles, c) Cooling 10 2-L bottles during 30 minutes costs 4.9 cents.

Explanation:

a) How much heat energy must be removed from your two liters of beverage?

At first we suppose that the beverage has the mass and specific heat of water and that there are no energy interactions between the bottle and its surroundings.

From the First Law of Thermodynamics and definition of sensible heat, we get that amount of removed heat ([tex]Q[/tex]), measured in kilojoules, is represented by the following formula:

[tex]Q = \rho \cdot V\cdot c\cdot (T_{o}-T_{f})[/tex] (Eq. 1)

Where:

[tex]\rho[/tex] - Density of the beverage, measured in kilograms per cubic meter.

[tex]V[/tex] - Volume of the bottle, measured in cubic meters.

[tex]c[/tex] - Specific heat of water, measured in kilojoules per kilogram-Celsius.

[tex]T_{o}[/tex], [tex]T_{f}[/tex] - Initial and final temperatures, measured in Celsius.

If we know that [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]V = 2\times 10^{-3}\,m^{3}[/tex], [tex]c = 4.186\,\frac{kJ}{kg\cdot ^{\circ}C}[/tex], [tex]T_{o} = 35\,^{\circ}C[/tex] and [tex]T_{f} = 10\,^{\circ}C[/tex], then:

[tex]Q = \left(1000\,\frac{kg}{m^{3}}\right)\cdot (2\times 10^{-3}\,m^{3})\cdot \left(4.186\,\frac{kJ}{kg\cdot ^{\circ}C} \right) \cdot (35\,^{\circ}C-10\,^{\circ}C)[/tex]

[tex]Q = 209.3\,kJ[/tex]

209.3 kilojoules must be removed from two liter of beverage.

b) You are having a party and need to cool 10 of these two-liter bottles in one-half hour. What rate of heat removal, in kW, is required?

The total amount of heat that must be removed from 10 2-L bottles is:

[tex]Q_{T} = 10\cdot (209.3\,kJ)[/tex]

[tex]Q_{T} = 2093\,kJ[/tex]

If we suppose that bottles are cooled at constant rate, then, rate of heat removal is determined by this formula:

[tex]\dot Q = \frac{Q_{T}}{\Delta t}[/tex] (Eq. 2)

Where:

[tex]Q_{T}[/tex] - Total heat, measured in kilojoules.

[tex]\Delta t[/tex] - Time, measured in seconds.

[tex]\dot Q[/tex] - Rate of heat removal, measured in kilowatts.

If we know that [tex]Q_{T} = 2093\,kJ[/tex] and [tex]\Delta t = 1800\,s[/tex], we find that rate of heat removal is:

[tex]\dot Q = \frac{2093\,kJ}{1800\,s}[/tex]

[tex]\dot Q = 1.163\,kW[/tex]

A rate of heat removal of 1.163 kilowatts is required to cool down 10 2-liter bottles.

c) Assuming that your refrigerator can accomplish this and that electricity costs 8.5 cents per kW-hr, how much will it cost to cool these 10 bottles (in $)?

A kilowatt-hour equals 3600 kilojoules. The electricity cost is equal to the  removal heat of 10 bottles ([tex]Q_{T}[/tex]), measured in kilojoules, and unit electricity cost ([tex]c[/tex]), measured in US dollars per kilowatt-hour. That is:

[tex]C = c\cdot Q_{T}[/tex]

If we know that [tex]c = 0.085\,\frac{USD}{kWh}[/tex] and [tex]Q_{T} = 2093\,kJ[/tex], the total cost of cooling 10 bottles is:

[tex]C = \left(0.085\,\frac{USD}{kWh}\right)\cdot \left(2093\,kJ\right)\cdot \left(\frac{1}{3600}\,\frac{kWh}{kJ} \right)[/tex]

[tex]C = 0.049\,USD[/tex]

Cooling 10 2-L bottles during 30 minutes costs 4.9 cents.

what is 25.61 cm to Gm?

Answers

Explanation:

25.61 cm * 1 Gm

100000000000 cm = 2.561e-10 Gm

1 Gm = 10^9 m =10^11 cm

then 10^11 cm = 1Gm

25.61 cm = 25.61 /10^11

=25.61 * 10^-11 Gm

Q.3 There is two conductors A and B of same
material having lengths L and 2L and radii r and
r/2 respectively. What is the ratio of their
resistance?​

Answers

Answer:

resistance = (resistivity.(l/A))

so for the 2 materials we get

r1 = resistivity.(l/r)

r2=resistivity.(2l/(r/2))

so ratio r1/r2=1/4

Explanation:

The resistance is proportional to the length and inversely proportional to the area (which is proportional to the square of the radius). Thus if we are just comparing the two (so the constants will cancel out).

r1 = l/r^2 (r squared).

r2 = (2l)/(1/2r)^2

r2 = 2l/(1/4)r^2

dividing by 1/4 is the same as multiplying to 4, so you are multiplying by 2 and then by 4, thus by 8.

Thus R2 is 8 times more than R1.

In deriving the axial electric field for the ring-shaped charge distribution and the electric field from a long line of charge, the component perpendicular to the resulting field is zero because of what physical property? In deriving the axial electric field for the ring-shaped charge distribution and the electric field from a long line of charge, the component perpendicular to the resulting field is zero because of what physical property? positive and negative charges cancel symmetry only net charge is important superposition integration

Answers

Answer:

d)symmetry

Explanation:

Here is the complete question

In deriving the axial electric field for the ring-shaped charge distribution and the electric field from a long line of charge, the component perpendicular to the resulting field is zero because of what physical property? Answer a)integration b)superposition c)only net charge is important d)symmetry e) positive and negative charges cancel

Solution

The perpendicular components of the resulting electric field is zero because of symmetry since the charge is evenly distributed around the ring or line of charge. At one point, there is an electric field dE due to a small charge element dq and a corresponding electric field dE' due to a small charge element dq' opposite to dq.

Since the charges are symmetrical about the center, the horizontal (or perpendicular) components of the electric fields would cancel out causing the horizontal component of the resulting electric field to be zero.

So, the perpendicular component of the resulting electric field is zero due to symmetry.

Which undergoes greater acceleration: an airplane that goes from 1000 km/h to 1005 km/h in 10 seconds or a skateboard that
goes from zero to 5 km/h in 1 second?

Answers

Answer:

Skateboard

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

The airplane's acceleration is:

a = (1005 km/h − 1000 km/h) / 10 s

a = 0.5 km/h/s

The skateboard's acceleration is:

a = (5 km/h − 0 km/h) / 1 s

a = 5 km/h/s

What element has similar chemical properties to lodine?*

Answers

Answer:

Iodine is most similar  to the other non- metals in the Halogen Family, such as Fluorine, Chlorine, Bromine, Astatine .

Explanation:

Which is formed by positive ions from a base and negative ions from an acid?

salt
vinegar
soap
carbonate

Answers

Answer:a

Explanation:

The formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

The given problem is based on the concept and fundamentals of Neutralization. The process of neutralization is the name given to the chemical reaction between that takes place between the acid and base.

An acid is the chemical species having the negative ion, hence also known as anions.And the bases are the chemical species having the positive ions, hence they are also known as cationic species. During the chemical reaction between the acid and base, the positive ions from the base and negative ions from the an acid forms a neutral compound, known as Salt. Therefore, this reaction is also known as neutralization reaction.

Thus, we can conclude that the formation of salt takes place by the sharing of positive ions from a base and negative ions from an acid. Hence, option (a) is correct.

Learn more about the Neutralization reaction here:

https://brainly.com/question/16188332

True or False: a projectile accelerates only in the y (vertical) direction. The "x," or
horizontal acceleration is equal to zero.

Answers

Answer:

True

Explanation:

Assuming no wind resistance, there will be no horizontal acceleration, because there will be no forces acting on it.

Two forces are described below:

Force 1: The squeezing force applied to remove water from a wet cloth
Force 2: The gravitational force exerted by Earth on the moon

Which statement is true about the forces? (3 points)
Both are contact forces.
Both are non-contact forces.
Force 1 is a non-contact force and Force 2 is a contact force.
Force 1 is a contact force and Force 2 is a non-contact force.

Answers

Answer:

its Force 1  is a contact force and Force 2 is a non-contact force.

Explanation:

I took the test!

Answer:

Force 1 is a contact force, Force 2 is a non-contact force :)

Explanation:

Because Force 1 is an object touching something and Force 2 is a force that is not touching something (hope this helps)

Which direction is the force of gravity on earth

Answers

The force of gravity on earth is towards the center of it
In the downward direction

Answer:

It is toward the center

Explanation:

A plane drops a package for delivery. The plane is flying horizontally at
a speed of 110 m/s, and the package travels 550 m horizontally during
the drop. We can ignore air resistance. What is the packages vertical
displacement during the drop?

Answers

Answer:

122.5m.

Explanation:

I think it's right..

What indicates that an object has been subjected to an unbalanced force?

Answers

The object moves
....

Define Transmission, reflection, refraction and diffraction

Answers

Answer:

transmission:  the act or process by which something is spread or passed from one person or thing to another

reflection: when light from an object is reflected by a surface, it changes direction. It bounces off the surface at the same angle as it hits it. Smooth, shiny surfaces such as mirrors and polished metals reflect light well.

refraction: change in direction of a wave passing from one medium to another or from a gradual change in the medium

diffraction: various phenomena that occur when a wave encounters an obstacle or opening

What Health Related Component of Physical Fitness is the ability of the heart and lungs to supply oxygen to the body? a. Muscular Strength c. Cardiorespiratory Endurance b. Muscular Endurance d. Flexibility​

Answers

well i really need points but i think it is c if not sorry

Which is the correct answer? Please help.

Answers

Answer:

i believe it is c

Explanation:

hope this helps and plz mark brainliest

Being a micro-manager is an example of using effective team building techniques

T or F​

Answers

Answer:

TRUE

Explanation:

Answer:

True

Explanation:

Consider the head-on collision between a nitrogen molecule, mass 28u and a water molecule mass 18u. Prior to the collision, the nitrogen molecule is moving with velocity 0.4390 km/s and the water molecule is moving with velocity -0.7690 km/s. Positive velocities indicate a molecule moving to the right and a negative velocities indicate a molecule moving to the left. Immediately after the collision, the velocity of the water molecule is v = 0.7016 km/s. The atomic mass unit (u) is commonly used to indicate the mass of atoms and molecules: 1u=1.66×10-27kg. What is the velocity of the nitrogen molecule immediately after the collision? (in km/s)

Answers

let me do the work real quick

The velocity of the nitrogen molecule immediately after the collision (in km/s) is -0.5064 km/s.

What is conservation of linear momentum?

When there is no external force acting on the system, the initial momentum before collision is equal to the final momentum after collision.

According to the momentum conservation principle,

m₁u₁ +m₂u₂ =m₁v₁ +m₂v₂

here, u represents the initial velocities, v represents final velocities and m represents the masses.

Given is the mass of nitrogen molecule, m₁ =28u =28 x 1.66×10⁻²⁷kg = 46.48 x 10⁻²⁷kg

the mass of water molecule, m₂ =18u =18 x 1.66×10⁻²⁷kg = 29.88 x 10⁻²⁷kg

initial velocity of nitrogen molecule u₁ = 0.4390 km/s

initial velocity of water molecule u₂ = -0.7690 km/s

final velocity of water molecule v₂ = 0.7016 km/s

Substituting the values into the above expression, we get the final velocity of the nitrogen molecule

46.48 x 10⁻²⁷kg x 0.4390 km/s + 29.88 x 10⁻²⁷kg x (-0.7690 km/s) = 46.48 x 10⁻²⁷kg x v₁ +  29.88 x 10⁻²⁷kg x  0.7016 km/s

v₁ = -0.5064 km/s

Thus, the final velocity of nitrogen molecule is -0.5064 km/s (to left).

Learn more about conservation of linear momentum.

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-Cesar the monkey observed the swinging behaviors of his parents. He is now able to swing from branch to branch after much practice. The observation of his parents swinging and practicing what he saw mainly involved _____ neurons; the neurons that are the basis of
Motor
Mirror
Sensory
Reticular

Answers


The 3rd one I think . I did something similar a while ago

The observation of his parents swinging and practicing what he saw mainly involved sensory neurons.

There are five senses in the human body, they are;

SightSmellTouch TasteHearing

Information is passed to the central nervous system (CNS) from each of these senses.

The neurons that convey sensory information of sight, smell, touch, taste and hearing to the brain are called sensory neurons.

Thus, the observation of his parents swinging and practicing what he saw mainly involved  sensory neurons.

Learn more: https://brainly.com/question/9911075

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Which of the following was most likely true of women in early civilizations? A. They farmed while men tended to the herds of livestock. B. They were expected to tend to children and the home. C. They were given authority in the family unit. D. They were sought after to become religious leaders. 1. Given: 3(x - 6) + 10 = 31Prove: x = 13 factors that affects potential and kinetic energy Convert 1_1/2 to a percent solve the inequality: -|x-2| + 9 > 6 Would you feel like a superhero if you could melt metal just by holding it? The element gallium is a solid at room temperature, but it will reachits melting point and melt if you hold it in your hand. If you pour the liquid gallium into a container at room temperature, it will become solidagain. How do the melting point and the freezing point of gallium compare to each other?O A The freezing point of gallium is higher than its melting pointOB. The freezing point of gallium is lower than its melting point.OC. The freezing point of gallium equals its melting point.ODBoth the freezing point and the melting point of gallium vary. What was the role of the Eastern Orthodox Church in the Byzantine Empire? Text to speechA:A. The Church played a central role in government as well as in the daily lives of the people.B:B. The Church controlled the empire, and the patriarch of Constantinople was the empire's top leader.C:C. The Church was only one of many different religious institutions in the empire.D:D. The Church was significant to a small number of people in the empire, but it played no major role. The sum of the measures of the angles of all triangles is 180. If two angles of the triangle measure 100, what is the measure of the last angle? Use the hint. Two angles measure 100 plus one angle add up 180 Suppose John has 6.93 pounds of seed. If it takes 6.3 pounds of seed to plant one acrecan be planted? ******************* IMPORTANT****************what is 1+4+6+0(3-2)?? read this passage please Which one are testable and non testable questions ?Does the temperature affect student performance?How does the size of a helicopters blade length affect the speed and number of rotations?Why does doing your homework help your grades?Does the color of a surface affect it temperature? Do flying saucers really exit?Do larger or smaller seeds make prettier flowers? Will larger or smaller seeds germinate faster?Which planet is the most interesting to study? What happens if you don't eat breakfast?Where are whales found in the world? How does talking to a plant affect a plantsheight? Who do people smoke?What types of apples grow in Missouri? Are there more seeds in Fuji apples orWashington apples the 1685___ was a set of laws (mostly ignored) meant to improve the life of louisiana slaves Which homeostatic process is characterized by the diffusion of only water molecules?active transportosmosispassive transportdynamic equilibrium What words does Odysseus use to describe the race of cyclops In this section write a short paragraph about photosynthesis using the following words in a meaningful way ; Photosynthesis, water, roots, glucose, leaves, sunlight, carbon dioxide, stomata please help me i will report if you don't answer the question How does the process of osmosis ensure that our cells maintain homeostasis? what currency does zimbabwe use ISWrite an equation and solve.5. A personal trainer charges $75 for a consultation, and then$50 per visit. If you have $325 to spend on personal training,how many visits (v) will you have?