Suppose two objects attract each other with a gravitational force of 32000 Newtons. If the distance between the two objects is quartered (times 1/4).
then what is the new force of attraction between the two objects
Answers
The new force of attraction between the two objects will be 16 times the old case.
What is Newton's law of gravitation?Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.
Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.
[tex]\rm F =\frac{GmM}{r^2}[/tex]
For case 1;
r₁=r
For case 2;
r₂=r/4
[tex]\rm F'=\frac{GmM}{(\frac{r}{4})^2} \\\\ F'=16 F[/tex]
Hence,the new force of attraction between the two objects will be 16 times the old case.
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Related Questions
Clouds are formed when water vapor in the atmosphere becomes a liquid and condenses. Condensation is a result of the difference in which of the following?
A.
air temperature and dew point temperature
B.
air pressure and air temperature
C.
dew point temperature and ocean temperature
D.
air pressure and wind speed
Answers
Answer:
B temperature and dew point temperature
You want to design a rollercoaster that will be able to go around a loop-the-loop on earth (where the value of g is 10 N/kg). If the mass of the rollercoaster is 6,000 kg and it is going 40 m/s at the bottom of the loop, calculate the maximum height of the top of the loop. Assume there is no energy input (motors, etc) or friction or any other energy waste in this system.
Answers
Answer:
[tex]64\; {\rm m}[/tex], assuming that the rollercoaster is not attached to the track.
Explanation:
Let [tex]r[/tex] denote the radius of the loop. The height of the top of the loop would be [tex]2\, r[/tex].
Let [tex]a[/tex] denote the acceleration of the rollercoaster. At any position in the loop, if the speed of the rollercoaster is [tex]v[/tex], the (centripetal) acceleration of the rollercoaster would be:
[tex]\displaystyle a = \frac{v^{2}}{r}[/tex].
Let [tex]m[/tex] denote the mass of the rollercoaster. The net force on the rollercoaster would then be:
[tex]\displaystyle F_\text{net} = m\, a = \frac{m\, v^{2}}{r}[/tex].
The rollercoaster would stay on the track (and goes around the loop without falling off) only if the normal force [tex]F_\text{normal}[/tex] between the track and the rollercoaster is non-negative. In other words: it is necessary that [tex]F_\text{normal} > 0[/tex] for the rollercoaster to stay on the track.
At the top of the loop, [tex]F_\text{normal}[/tex] and the weight of the rollercoaster [tex]m\, g[/tex] are in the same direction as the centripetal acceleration (downwards towards the center of the loop.) Hence:
[tex]F_\text{net} = F_\text{normal} + m\, g[/tex].
Let [tex]v_\text{top}[/tex] denote the speed of the rollercoaster at the top of the loop.
[tex]\begin{aligned} F_\text{normal} &= F_\text{net} - m\, g \\ &= \frac{m\, v_\text{top}^{2}}{r} - m\, g\end{aligned}[/tex].
If [tex]F_\text{normal} > 0[/tex] at the top of the loop, then:
[tex]\displaystyle \frac{m\, v_\text{top}^{2}}{r} - m\, g > 0[/tex].
[tex]\displaystyle v_{\text{top}}^{2} > g\, r[/tex].
At the same time, by the conservation of energy, the sum of the kinetic energy [tex]\text{KE}[/tex] and gravitational potential energy [tex]\text{GPE}[/tex] of the rollercoaster should stay the same during the entire ride. Assuming that [tex]\text{GPE}\![/tex] is [tex]0[/tex] at the bottom of the loop:
[tex]\begin{aligned}& \text{KE at the bottom}\\ &= \text{KE at the top} + \text{GPE at the top}\end{aligned}[/tex].
Let [tex]v_{0}[/tex] denote the speed of the rollercoaster at the bottom of the loop.
[tex]\begin{aligned}\text{KE at the bottom} = \frac{1}{2}\, m\, {v_{0}}^{2}\end{aligned}[/tex].
The speed of the rollercoaster at the top of the loop [tex]v_\text{top}[/tex] is at least [tex](g/r)[/tex]. Therefore:
[tex]\begin{aligned}& \text{KE at the top}= \frac{1}{2}\, m\, {v_{\text{top}}}^{2} > \frac{1}{2} \, m\, g\, r\end{aligned}[/tex].
Since the height of the loop is [tex]2\, r[/tex], the [tex]\text{GPE}[/tex] of the rollercoaster at the top of the loop would be:
[tex]\text{GPE at the top} = m\, g\, h = 2\, m\, g\, r[/tex].
Thus:
[tex]\begin{aligned} \frac{1}{2}\, m\, {v_{0}}^{2} &= \text{KE at the bottom}\\ &= \text{KE at the top} + \text{GPE at the top} \\ & > \frac{1}{2}\, m\, g\, r + \text{GPE at the top}\\ & = \frac{1}{2}\, m\, g\, r+ 2\, m\, g\, r \\ &= \frac{5}{2}\, m\, g\, r\end{aligned}[/tex].
In other words:
[tex]\displaystyle \frac{1}{2}\, m\, {v_{0}}^{2} > \frac{5}{2}\, m\, g\, r[/tex].
Rearrange and simplify to obtain a bound on [tex]r[/tex]:
[tex]\begin{aligned} r < \frac{(1/2)\, m\, {v_{0}}^{2}}{(5/2)\, m\, g}\end{aligned}[/tex].
[tex]\begin{aligned} r < \frac{{v_{0}}^{2}}{5\, g}\end{aligned}[/tex].
Given that [tex]v_{0} = 40\; {\rm m\cdot s^{-1}[/tex] and [tex]g = 10\; {\rm N \cdot kg^{-1}} = 10\; {\rm m\cdot s^{-2}[/tex]:
[tex]\begin{aligned} r & < \frac{{v_{0}}^{2}}{5\, g} \\ &= \frac{(40\; {\rm m\cdot s^{-1}})^{2}}{5 \times (10\; {\rm m\cdot s^{-2}})} \\ &= 32\; {\rm m}\end{aligned}[/tex].
Hence, the radius of this loop is at most [tex]32\; {\rm m}[/tex], such that the height of the top of this loop is at most [tex]2 \times 32\; {\rm m} = 64\; {\rm m}[/tex].
What is the speed of an electromagnetic wave traveling through the air?
use c = 299,792,458 m/s in your calculation.
Answers
The speed of an electromagnetic wave traveling through the air will be 2.9 ×10⁸ m/sec.
What is a refractive index?The refractive index of a substance also known as the refraction index or index of refraction is a dimensionless quantity that specifies how quickly light passes through it in optics.
The refractive index is found as;
[tex]\rm n= \frac{c}{v} \\\\ 1.000293=\frac{3 \times 10^8}{v} \\\\ v=2.9 \times 10^8 \ m/sec[/tex]
Hence, the speed of an electromagnetic wave traveling through the air will be 2.9 ×10⁸ m/sec.
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how is newton’s first law of motion used for a person in a stationary car during a car crash
Answers
Answer:
When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it.
Compare the mass on neptune (68.11) to the weight on neptune (905.863). what is the difference? why is there a difference?
Answers
Weight is mass times gravity
Prove that force canbe defined as rate of change in momentum
Answers
The force can be defined as rate of change in momentum because consists of the action of rotating or twisting a body around its axis of rotation (pole) through the application of a force.
What is the difference between moment and force?The magnitude of the moment (M) is defined as the product of the magnitude of the force (F) and the distance (d) between the line of action of the force and the axis. The unit of moment of a force in the international system of units is N.m.
Torque, or moment of a force, is the tendency of a force to rotate a body on which it is applied. Torque is a vector perpendicular to the plane formed by the force and radius of rotation vectors.
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Choose the best answer among the given alternative answers. 1. Two opposite forces acting perpendicular to an axis cause a. Back and forth motion c. Sliding motion b. Rotation d. No motion (at rest)
2. The part of an electric motor that reverses current in a segment of the coil is. a. Armature c. Brushes b. Commutator d. Battery that makes the
Answers
Answer:
C
Explanation:
The products of nuclear fission have slightly less mass than the original atom that undergoes fission. During the process, a very large amount of energy is produced. What do you think happens to the "missing" mass in a fission reaction?
Answers
Answer:
missing mass has been converted to energy according to Einstein mass energy equation
What will be an ideal location for the exhaust fan on your Kitchen wall,
10m or 12m above the floor? Justify your answer.
Answers
The ideal location for the exhaust fan on your Kitchen wall should be 12m above the floor.
What is exhaust fan?Exhaust fan is defined as the device that is used to remove excess moisture, odors, and stale air usually from the kitchen.
When being installed in the kitchen, it should be above the kitchen stove and high enough to be able to remove the steam from the cooking activities.
Therefore, the ideal location for the exhaust fan on your Kitchen wall should be 12m above the floor.
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Why do we need to improve cardiovascular fitness and muscular endurance?
Learning Task 2 B: Check () the skills that correspond to the activities. Copy the table in your activity notebook.
Activities
Cardiovascular
Fitness
Muscular
Endurance
1. aerobics or step aerobics
2. leg lifts
3. jump rope
4. line jumps
5. curl-ups
6. bench-steps
7. follow the leader runs
8. push-ups
ocess Questions:
1.
How do you find these activities? Explain.
2. How did you classify if the activity is cardiovascular fitness and muscular endurance?
3. In your word, define cardiovascular fitness and muscular endurance.
Answers
#1
These are two types of activities either muscular or cardiovascular.
#2
They are differing in the muscles they target ,Either cardio else others.
#3
Cardiovascular fitness is the fitness of our heart's muscular.Doing cardio workouts can be quite helpful in maintaining that fitness level
Muscular endurance denotes to strengthen of muscles like biceps ,knees ,ankles ,abs etc .
The shortest distance between the initial position and the final position of moving body is called .............
Answers
The Answer Is Displacement
an iceberg melting slowly
firing a clay pot in a hot kiln
Both are chemical changes.
Both are caused by cooling.
Both involve chemical bonds breaking.
Both are caused by heating.
Select all that apply.
Submit
PLS ANSWER ASAPPPP will give brainiest or whatever it’s called
Answers
Answer:
Both are caused by heating
The weight of an astronaut on the moon is the same as on Earth.
True
False
Answers
Answer:
False
Explanation:
This is due to the gravitational pull, since the moon does not have the same force or gravity like Earth, your weight would change.
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A 0.50 kg lead ball at 45 c is dropped into a calorimeter with water at 20 the final temperature of the ball-water system is 25c, what is the mass of the water? consider specific heat capacity of led = 128 / k * g degrees * c and specific heat capacity of water=4186 //kg^ c
Answers
Answer:
.0612 kg
Explanation:
I think your spec heat for lead should be 128 j /kg-K
Final lead temp is the same as the water 25 C Note that 1 K = 1 C degree
so lead goes from 45 to 25 C (or difference of 20 K)
Heat given up by the lead =
.5 kg * (20 K) * 128 j/ kg -C = 1 280 j
this heat is GAINED by the water going from 20 to 25 C
x kg * (5 C ) (4186 j/kg-C ) = 1 280 j
x = .0612 kg
which statement best describes the position of the image of an object viewed in a plane mirror?
A). the image is a different distance from the mirror but on the same side of the mirror as the original object
B). the image is the same distance from the mirror and on the same side of the mirror as the original object
C). The image is a different distance from the mirror and on the other side of the mirror as the original object.
D). the image is the same distance from the mirror but on the other side of the mirror as the original object.
Answers
The statement D best describes the position of the image of an object viewed in a plane mirror, The image is the same distance from the mirror but on the other side of the mirror as the original object.
What is the image?When light beams from an object reflect off a mirror, they intersect with the picture of that thing, called an image. Real and virtual images are the two sorts of images.
The following parameters can be used to describe an image:
1. It is possible for an image to be real or virtual.
2. Left-right reversal is possible or not.
3. The image can be inverted or upright.
4. The image can be enlarged, shrunk, or made the same size as the object.
Plane mirrors provide virtual images that are upright, inverted left-right, the same distance from the mirror as the item, and the same size as the thing.
As a result, the best description of image production by a plane mirror is “a virtual picture is produced behind the mirror.”
The statement D best describes the position of the image of an object viewed in a plane mirror, The image is the same distance from the mirror but on the other side of the mirror as the original object.
Hence, option D is correct.
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A 20 kg rock sits on the edge of a cliff that is 100 m high.
a. What potential energy does the rock-Earth system possess relative to the base of the cliff?
b. The rock falls without rolling from the cliff. What is its kinetic energy just before it strikes the ground?
c. What is the rock’s speed as it hits the ground?
Answers
The potential energy of the rock is 19600 J. Then, the kinetic energy when it hits the ground will be 19600 J. The velocity before it hits the ground will be 44.2 m/s.
What is potential energy ?The potential energy of an object is the energy by virtue of its position. It is related to the mass, m ,height h and acceleration due to gravity g as follows:
p = mgh.
Given m =20 kg
height = 100 m
g = 9.8 m/s²
then p = 20 kg × 100 m × 9.8 m/s² = 19600 J.
When the rock falls down as it approaches the ground, the potential energy converts to kinetic energy. Hence, the kinetic energy before it strike the ground will be 19600 J.
Ke = 1/2 mv² = 19600 J
then v = √ (2 Ke/m)
v = √(2× 19600 J/20 kg) = 44.2 m/s.
Therefore, the speed of the rock as it hits the ground is 44.2 m/s.
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A year is the time it takes a planet to complete one orbit. use your data to estimate the year length for each planet. use time units of earth years or earth months. why does it take the outer planets so long to orbit the sun? try to come up with 2 reasons.
Answers
The planets of the solar system has the orbiting time.
Mercury- 88 days, Venus-225 days, Earth- 365 days, Mars-687 days, Jupiter- 12 years, Saturn- 29 years, Uranus- 84 years, Neptune- 165 years, Pluto- 248 years.
What is solar system?Solar system consists of all the planets and the most importantly the center of the solar system is Sun.
Sun is the main focus of the solar system. It emits high temperature light rays on the planets which in turn emit lights and be visible.
Outer planets take longer to orbit the sun because the gravitational pull is weaker as shown in the inverse square law.
The outer planets very far away from the Sun, means that they have more distance to cover in their orbit.
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Which of the following is NOT true in terms of what to consider when judging eye witness accounts?
the type of crime and how the witness saw the incident
interviewing techniques can affect eye witness accounts
open-ended questions do not often get better answers
Answers
The statement that is not true about in
terms of what to consider when judging eye witness accounts is the type of crime and how the witness saw the incident.
What is Judgement?Judgement is a decree, or decision or conclusion on a subject matter when there is an offence or someone did wat is wrong . It can be to vindicate and to punish for a crime.
Therefore, The statement that is not true about in terms of what to consider when judging eye witness accounts is the type of crime and how the witness saw the incident
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what is a short circuit
Answers
Answer:
It is a circuit that is easily damaged
1.
List the kinds of objects that exist outside our solar system, but are still in our galaxy.
2.
List the kinds of objects that exist in deep space beyond our galaxy.
Answers
Answer:
1. Stars, Nebula, Exo Planets, Star Clusters
2. Galaxies, Magelnic Clouds, Voids
Explanation:
Studying Astronomy for Years hope this helps and if you need more than this basic run down let me know have a great night!
In classical physics, relative motion is absolute. For example, consider an object moving in a straight line with speed v0 on a platform. If the platform is moving with speed vp in the same direction relative to the ground, the object will be moving with speed v0 + vp relative to the ground. However, it is known that the speed of light is the same for all observers regardless of reference frame, which contradicts the classical model of relative motion. Which of the following statements is a conclusion that could be drawn from this contradiction?А. There are no absoluta celerence frames.B. All physical quantities are the same in al reference frames.C. Light can be described by a wave model and a particle model.D. Observers in different reference frames will measure time and distance differently.
Answers
Answer:
d) observers in different reference frames will measure time and distance differently
derive a relation between critical angle and refractive index
Answers
Answer:
At the critical angle the angle of refraction (outside the medium) is 90°
Ni sin θ = Na sin 90° = 1 assuming outside medium is air
sin θ = 1 / Ni where Ni is the refractive of the medium involved
EDGE— Sometimes doctors have difficulty seeing tumors on images of the brain when they are very small. Which form of nanotechnology is most likely to help improve brain imaging?
Answers
Dendrimers are the form of nanotechnology is most likely to help improve brain imaging.
What is nanotechnology?Nanotechnology is the near-atomic manipulation of matter to create new structures, materials, and gadgets.
The technique offers scientific improvement in a variety of fields, including medical, consumer goods, energy, materials, and manufacturing.
Dendrites are a kind of nanoparticle that has been studied extensively for a variety of medicinal applications, including medication administration, imaging, and diagnostics in the brain.
Hence,dendrimers are the form of nanotechnology is most likely to help improve brain imaging.
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Answer:
B. Quantum Dots
Explanation:
Nanotechnology with quantum dots allows for better imaging while examining the body.
What did hegel and kant have in common? they both were determined to disprove marxist theory. they both thought that only history could reveal universal truths. they both refused to completely abandon the role of religion in their work. they both believed that perception was an important element in understanding reality.
Answers
Answer:
The two philosophers furthermore seem to share the same conception of the conditions of human freedom. For Hegel as well as Kant, a theory of morality and political right devoted to advancing the cause of freedom must require more than just the absence of obstacles preventing the satisfaction of our animal passions.
Explanation:
Hope that help ;)
Thumper (a rabbit) runs and jumps on a frozen lake, sliding at 8 m/s. He slides for 12 s before coming to a stop. What is the coefficient of kinetic friction between Thumper and the ice
Answers
The coefficient of kinetic friction between Thumper and the ice is determined as 0.1.
Coefficient of kinetic frictionThe coefficient of kinetic friction between Thumper and the ice is determined as follows;
μk = a/g
where;
a is accelerationg is acceleration due to gravitya = v/t
a = 8/12
a = 0.667 m/s²
μk = a/g
μk = 0.667/9.8
μk = 0.1
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Water can rise from the roots to the tops of trees due to _____.
A. capillary action
B. solubility
C. surface tension
D. homonuclear bonding
E. All of the above
Answers
Water can rise from the roots to the tops of trees due to capillary action. The correct option is A.
What is capillary action?It is the phenomenon by which the liquid rises or falls in a very small diameter tube.
In plants. its roots have very thin diameter tubes which are not visible to the eye. But the water reached to the plants through these tube to every single part of the plant i.e. from root to the fruits.
So, water can rise from the roots to the tops of trees due to capillary action.
Thus, the correct option is A.
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Active energy is a characteristic of _______ energy.
Answers
Answer:
Active energy is a characteristic of Kinetic energy
Find the force of a 240 kg vehicle accelerating at a rate of 4.5 m/s/s when it hits the wall.
Answers
Answer:
1080 Newtons
Explanation:
F = m * a
F = 240kg * 4.5 m/s
F = 1080
All electromagnetic radiation in the optical portion of the em spectrum have what characteristics?
Answers
They all have the same wavelength.
Hope this helps!
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Which of the following materials used by plants to make food can be found in the air?
A) pollen
B) soil
C) oxygen
D) carbon dioxide
Answers
Answer:
number d
Explanation:
because plant need carbondioxide