the gravitational force produced between any two
objects kept at 2.5*10^km apart is 580N. at what distance
should they be kept so that the gravitational force becomes
half?
Answers
Answer:
The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.
Explanation:
From Newton's Law of Gravitation, gravitational force ([tex]F[/tex]), measured in newtons, between two objects is inversely proportional to the square of distance ([tex]r[/tex]), measured in meters. That is:
[tex]F \propto \frac{1}{r^{2}}[/tex] (1)
[tex]F = \frac{k}{r^{2}}[/tex] (2)
Where [tex]k[/tex] is the proportionality ratio, measured in newtons-square meter.
Now we eliminate the proportionality by constructing the following relationship:
[tex]\frac{F_{2}}{F_{1}} = \left(\frac{r_{1}}{r_{2}}\right)^{2}[/tex] (3)
If we know that [tex]\frac{F_{2}}{F_{1}} = \frac{1}{2}[/tex] and [tex]r_{1} = 2.5\times 10^{7}\,m[/tex], then the distance between the two objects so that gravitational force becomes half is:
[tex]\frac{1}{2} = \frac{(2.5\times 10^{7}\,m)^{2}}{r_{2}^{2}}[/tex]
[tex]r_{2}^{2} = 1.25\times 10^{15}\,m^{2}[/tex]
[tex]r_{2} = 3.535\times 10^{7}\,m[/tex]
[tex]r_{2} = 3.535\times 10^{4}\,km[/tex]
The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.
Related Questions
A car moving on a straight level road changes its speed from 3.5m/s to 4.5m/s in 5.00 seconds. Find it’s acceleration
Answers
Answer:
0.2m/s2
Explanation:
acceleration= change in velocity ( in this case speed)/ change in time.
4.5-3.5=1m/s
change in time=5-0 =5
1m/s divided by 5 seconds acceleration as the result
Which is a disadvantage of storing data digitally?
A.The parts of devices that store data are unstable compared to analog storage.
B. Other people can access personal data when a virus is copied with the data.
C. Noise makes digital data unreliable when copied.
D. The quality of copies stays the same as more copies are made.
Answers
Answer:
I thinks it’s b sorry if it didn’t help
Explanation:
One of the disadvantage of storing data digitally is that, other people can access personal data when a virus is copied with the data. Hence, security of data cannot be ensured.
What is digital storing?Nowadays there are many technological ways to store our credentials and essential documents. These data can be stored in virtual space such as in computers phones like electronic gadgets.
Compared to the conventional storage methods or paper format, digital storage is easy and fast easily accessible from anywhere in any format and can be shared. These data cannot damaged as paper document.
However, the digital storing have some drawbacks. Sometimes these data goes insecure and other people can access personal data when a virus is copied with the data.
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A squirrel starts at rest and accelerates at 2.3 m/s^2 for 5.22 seconds. What is it's final velocity?
Please provide the variable, number, and unit e.g., a= 1.34 m/s^2
Answers
Answer:
12.259 m/s
Explanation:
An object starting at rest and accelerating at a constant acceleration a for t seconds has a velocity of
[tex]v=at[/tex]
If we substitute in the values a = 2.3 m/s² and t = 5.22 s, we get a velocity of
[tex]2.3(5.22)=12.259[/tex] m/s
The force of attraction that holds two atoms together within a molecule is
Answers
Answer: Chemical bond
Explanation: This force is of an electric nature, and the attraction between electrons of one atom to the nucleus of another atom contributes to what is known as chemical bonds.
A freely falling object is dropped from rest, what is its speed after falling 1 second? 2 seconds? 3 seconds? 10 seconds?
Answers
Answer:
You can use the formula: X= Vinitial.t + [tex]\frac{1}{2}[/tex] g[tex]t^{2}[/tex]
where: X: distance, which the question wants.
V initial = Zero
t= 1,2,3,10 sec.
g: is the acceleration due to gravity = 9.8 m/[tex]s^{2}[/tex]
Atoms of an element can have more than 1 mass number but only one atomic number, Why?
Answers
Answer:
An element's mass number (A) is the sum of the number of protons and the number of neutrons. ... Protons and neutrons both weigh about one atomic mass unit or amu. Isotopes of the same element will have the same atomic number but different mass numbers.
Explanation:
The time for a sound wave to travel between two people is 0.80 s,
The people are 256 m apart
Calculate the speed of sound in air.
Answers
Answer:
Explanation:
Using the below formula
Speed of sound = ( distance between observers) *2/(total time taken)
Now putt the given values ,
time taken = 0.80 sec
distance = 256 m
hence
V of sound= 256*2/0.80
V of sound = 640 m/sec
A force of 6.0 N is applied horizontally to a 3.0 kg crate initially at rest on a horizontal frictionless surface. After the crate is pushed for 1.5 seconds, it has a velocity of 3.0 m/s. Does this support Newton's second law of motion, that force equals mass times acceleration? Explain. 
a. Yes, because the acceleration of the crate is 2.0 m/s².
b. No, because the acceleration of the crate is 2.0 m/s².
c. Yes, because the mass and the velocity of the crate are equal.
d. No, because the mass and the velocity of the crate are equal.
Answers
Answer:
a. Yes, because the acceleration of the crate is 2.0 m/s².
Explanation:
Given
[tex]Force = 6N[/tex] --- f
[tex]Mass = 3kg[/tex] --- m
[tex]Time = 1.5s[/tex] --- t
[tex]Velocity = 3.0m/s[/tex] --- v
Required
Does the system support [tex]F=ma[/tex]
Yes, it does and this is shown below
The crate is initially at rest; so:
[tex]u = 0[/tex]
Using the first equation of motion
[tex]v = u + at[/tex]
Substitute values for v, u and t
[tex]3 = 0 + a*1.5[/tex]
[tex]3 = 1.5a[/tex]
Make a the subject
[tex]a = 3/1.5[/tex]
[tex]a = 2[/tex]
Using [tex]F = ma[/tex]
Substitute values for F and m
[tex]6 = 3 * a[/tex]
Divide both sides by 3
[tex]6/3 = 3/3 * a[/tex]
[tex]2 = a[/tex]
[tex]a = 2[/tex]
In both cases:
[tex]a = 2[/tex]
Hence, option (a) is correct.
A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30. A 140-N force is applied to the box. What is the frictional force on the box?
Answers
Answer:
161.7N
Explanation:
Given parameters:
Mass of the box = 55kg
Coefficient of friction = 0.3
Applied force = 140N
Unknown:
Frictional force on the box = ?
Solution:
The frictional force on the box is a force that opposes the motion of the box.
To find the value of this force;
Fr = u m g
u is the coefficient of static friction
m is the mass
g is the acceleration due to gravity
So;
Fr = 0.3 x 55 x 9.8 = 161.7N
HELP PLS MARKING BRANLIST 100 Pts TAKING TEST RN
A sprinter runs the 50 m dash in 5.6 seconds. What is the sprinter's speed?
280 m/s
0.11 m/s
44.4 m/s
8.93 m/s
Answers
___is the process that exchanges gases between body and the outside air.
Answers
Answer:
Breathing.
Explanation:
An elephant kicks a 2.5 kg rock that is initially at rest. The
net force on the rock varies with time as shown below.
What is the rock's change in momentum between 0 ms
and 20 ms?
Answers
0.20Answer:
Explanation:
please help! this is timed!
Answers
Answer:
convection because it's not a conductor nor does it have radiation.
HELP PLS 100 POINTS TAKING TEST RN
Suppose you are in a car that is going around a curve. The speedometer reads a constant 30
miles per hour. Which of the following is NOT true?
You and the car are accelerating.
Your speed is constant.
Your velocity is constant.
Your acceleration is constant.
Answers
Answer:
sorry I hate when people press your question and answer with a fake answer for points, however you said it was 100 points and it's not even close lol but it is "your speed Is constant" that is not true
when a chemical reaction occurs, chemical bonds ______ break and new chemical bonds form to create the __________
Answers
Answer:
a) reactant
b) product
Explanation:
During a chemical reaction, the reactants interact among themselves in a specific temperature, pressure, pH, enzyme etc. Due to various intra and inter molecular and atomic interactions, the chemical bonds in the reactants break down. Formation of new chemical product is governed by the formation of new bond (ionic, covalent, hydrogen vander waal etc. )
hello! Someone please help me with this.
Answers
Explanation:
VT= 10 v
IT = V/R = 10/5= 2 A
RT= 5 ohm
PT = 20w
[tex] {i}^{2} \times r = {2}^{2} \times 5 = 20watts[/tex]
Go to your backyard or to your high school’s basketball court or tennis court and try out this experiment to see if you can predict motion and inertia accurately. Bring a friend or classmate. Take along a ball.
Select two spots roughly 10 meters apart. Mark each of them clearly. The first spot will be the starting point and the second will be the target.
Ask a friend to run as fast as possible (sprint) carrying the ball from the starting point to the target. Have your friend release the ball when he or she is immediately over the target trying NOT to swing arms when dropping the ball.
Record the results in the table below.
Repeat the sprint at least five times. Record where the ball lands each time.
Next, ask your friend to jog to the target with the ball and drop it. In the table, again record where the ball lands. Do two trials.
For the final test, ask your friend to walk to the target and drop the ball. Also record these results in the table. Do two trials
Answers
Answer:1 Sprint 54 cm Beyond
2 Sprint 41 cm Beyond
3 Sprint 68 cm Beyond
4 Sprint 32 cm Beyond
5 Sprint 44 cm Beyond
6 Jog 31 cm Beyond
7 Jog 22 cm Beyond
8 Walk 17 cm Beyond and left
9 Walk 6 cm Beyond
Explanation:
Answer:
1 Sprint 54 cm Beyond
2 Sprint 41 cm Beyond
3 Sprint 68 cm Beyond
4 Sprint 32 cm Beyond
5 Sprint 44 cm Beyond
6 Jog 31 cm Beyond
7 Jog 22 cm Beyond
8 Walk 17 cm Beyond and left
9 Walk 6 cm Beyond
Explanation: edmentum sample answer
A rock is lifted by a machine to a height of 10m. If it has a mass of 22 kilograms
Answers
Answer:
2156J
Explanation:
Given parameters:
Height of lift = 10m
Mass = 22kg
Unknown:
Work done by the machine = ?
Solution:
Work done is the force applied to move a body through a certain distance.
So;
Work done = Force x distance
Here;
Work done = mass x acceleration due to gravity x height
Work done = 22 x 9.8 x 10 = 2156J
The particles of a substance can have kinetic energy (KE) and potential energy (PE). Which equation best summarizes the internal energy (U) of the substance?
Answers
Answer:
The internal energy of a substance is equal to the total amount of potential energy and kinetic energy of ALL the particles in the substance.
For example, when the temperature increases (more temperature means more energy), the kinetic energy of the particles in the substance increases.
And when we reach a point near a change of phase (like near fusion point) there is energy used to break the bonds between the particles, then we have an increase in potential energy.
Then we could write the internal energy as:
U = ∑(KEₙ) + ∑(PEₙ)
Where ∑(KEₙ) and ∑(PEₙ) are the sums of the kinetic energy and potential energy of all the particles in the substance.
The equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is U = ∑(KEₙ) + ∑(PEₙ).
WHAT IS INTERNAL ENERGY:The internal energy of a substance is equal to the total amount of potential energy and kinetic energy of all the particles in the substance.According to this question, the particles of a substance can have kinetic energy (KE) and potential energy (PE). This means that the internal energy is the sum of the kinetic energy and potential energy of all the particles in the substance.Therefore, equation that best summarizes the internal energy (U) of a substance that has both kinetic and potential energy is U = ∑(KEₙ) + ∑(PEₙ).
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Bro wth what is 1+1 i need help !!!! HURRY PLEASE
Answers
Answer:
2 lol
Explanation:
of the following states of motion, the one which requires balanced forces is:
A: a decrease in speed in a straight line
B: an increase in speed in a straight line
C: constant speed in a straight line
D: a change in the direction of the motion
Answers
A balanced force is required for a change in the direction of the motion.
What is a force?According to Newton's second law of motion, the force applied to a body is directly proportional to the product of mass and acceleration of the body.
Balanced forces
Balanced forces are those that are opposite in direction and equal in size. When forces are balanced there is no change in direction.
Thus, when there is change in direction, a balance force can be applied to cancel the change in direction of motion.
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Mass is 56.8 g and the volume is 10 mL what is the density
Answers
Explanation; Divide the mass of the unknown substance and the volume of the unknown substance and you will have your answer.
Hope this helps! ^^ if you can pls mark me brainiest!
answers please and thank you
Answers
Answer:
W
Explanation:
its high in mass object and volume object
how does temperature affect chemical reaction
Answers
HELP PLS MARKING BRANLIST 100 Pts TAKING TEST RN
A train moved at a constant speed of 63 m/s. How far will it travel in 120 seconds?
1.90 m
0.50 m
57 m
7.560 m
Answers
Answer:
It will travel 7,560 m
Explanation:
63 x 120 = 7,560 m
Answer:
A. 1.90
I divided 63 by 60 and got 1.05
I multiplied 1.05 by 2 (120 seconds = 2 minutes) and I got 2.1
1.90 is the closest answer.
A car's velocity changes from 40 m/s to 30 m/s in 40 seconds. What is the
acceleration of the car?
Answers
Answer:
- 0.25m/s²
Explanation:
Given parameters:
Initial velocity = 40m/s
Final velocity = 30m/s
Time taken = 40s
Unknown:
Acceleration of the car = ?
Solution:
Acceleration is the rate of change of velocity with time.
So;
Acceleration = [tex]\frac{Final velocity - Initial velocity }{time }[/tex]
Acceleration = [tex]\frac{30 - 40}{40}[/tex] = - 0.25m/s²
This implies that the car will decelerate at a rate of 0.25m/s²
Which step(s) of the greenhouse effect are being most affected by the increases in greenhouse gases, leading to an increase in heat?
1. Solar radiation enters the Earth system and is reflected and absorbed.
2. Absorbed energy is released into the atmosphere as heat.
3. Heat is absorbed by the atmosphere.
4. The atmosphere re-releases heat, warming Earth’s surface and lower atmosphere.
Answers
Answer:
1, 2, and 3
Explanation:
The heat of the solar radiation is absorbed by the atmosphere then the atmosphere re-releases heat, warming Earth’s surface and lower atmosphere. Therefore, option (3), (4) are correct.
What is the greenhouse effect?The greenhouse effect can be described as a process that happens when energy heats the planet's surface, but greenhouse gases in the atmosphere stop some of the heat from returning directly to space and warm the planet.
The natural greenhouse effect keeps the earth from having the below-freezing temperature that it would freeze if there were no greenhouse gases. Additionally, human activities increase greenhouse gases and trap greater amounts of heat, which cause the Earth to grow warmer over time.
The Sun sends most of its energy as visible and near-infrared light, while Earth's average surface temperature emits longer-wavelength infrared, radiant heat. These greenhouse gases emit radiant heat in all directions, passing heat to the air and warming other greenhouse gases.
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What is specific heat?
Answers
Answer:
Specific heat is defined by the amount of heat needed to raise the temperature of 1 gram of a substance 1 degree Celsius (°C). Water has a high specific heat capacity which we'll refer to as simply "heat capacity", meaning it takes more energy to increase the temperature of water compared to other substances.
Explanation:
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A pendulum bob swings along its characteristic arc as shown. Rank the gravitational potential energy of the pendulum bob at the three marked locations
Answers
Answer:
Gravitational potential energy is the maximum at point C and lowest at point A
Explanation:
The image for the question is provide in the attached file
The energy of pendulum is governed by mechanical energy. Mechanical energy is the sum of potential energy and kinetic energy
Potential energy increases with increasing height. Thus, when the pendulum bob is at maximum height, then its potential energy is also the highest.
Thus, At point C, the gravitational potential energy is the highest
At point A, the gravitational potential energy is substantial but lower than that of gravitational potential energy at point C
AT point A, gravitational energy is the lowest
Equation of motion description is v=20+2t.How big is the initial speed,acceleration?
Answers
Answer:
the initial velocity is 20 m/s and the acceleration is 2 m/s²
Explanation:
Given equation of motion, v = 20 + 2t
If V represents the final velocity of the object, then the initial velocity and acceleration of the object is calculated as follows;
From first kinematic equation;
v = u + at
where;
v is the final velocity
u is the initial velocity
a is the acceleration
t is time of motion
If we compare (v = u + at) to (v = 20 + 2t)
then, u = 20 and
a = 2
Therefore, the initial velocity is 20 m/s and the acceleration is 2 m/s²