So, the force of gravity that the asteroid and the planet have on each other approximately [tex] \boxed{\sf{2.9 \times 10^{17} \: N}} [/tex]
IntroductionHi ! Now, I will help to discuss about the gravitational force between two objects. The force of gravity is not affected by the radius of an object, but radius between two object. Moreover, if the object is a planet, the radius of the planet is only to calculate the "gravitational acceleration" on the planet itself,does not determine the gravitational force between the two planets. For the gravitational force between two objects, it can be calculated using the following formula :
[tex] \boxed{\sf{\bold{F = G \times \frac{m_1 \times m_2}{r^2}}}} [/tex]
With the following condition :
F = gravitational force (N)G = gravity constant ≈ [tex] \sf{6.67 \times 10^{-11}} [/tex] N.m²/kg²[tex] \sf{m_1} [/tex] = mass of the first object (kg)[tex] \sf{m_2} [/tex] = mass of the second object (kg)r = distance between two objects (m)Problem SolvingWe know that :
G = gravity constant ≈ [tex] \sf{6.67 \times 10^{-11}} [/tex] N.m²/kg²[tex] \sf{m_X} [/tex] = mass of the planet X = [tex] \sf{1.55 \times 10^{22}} [/tex] kg.[tex] \sf{m_Y} [/tex] = mass of the planet Y = [tex] \sf{3.95 \times 10^{28}} [/tex] kg.r = distance between two objects = [tex] \sf{3.75 \times 10^{11}} [/tex] m.What was asked :
F = gravitational force = ... NStep by step :
[tex] \sf{F = G \times \frac{m_X \times m_Y}{r^2}} [/tex]
[tex] \sf{F = 6.67 \cdot 10^{-11} \times \frac{1.55 \cdot 10^{22} \cdot 3.95 \times 10^{28}}{(3.75 \times 10^{11})^2}} [/tex]
[tex] \sf{F \approx \frac{40.84 \times 10^{-11 + 22 + 28}}{14.0625 \times 10^{22}}} [/tex]
[tex] \sf{F \approx 2.9 \times 10^{39 - 22}} [/tex]
[tex] \sf{F \approx 2.9 \times 10^{17} \: N} [/tex]
ConclusionSo, the force of gravity that the asteroid and the planet have on each other approximately
[tex] \boxed{\sf{2.9 \times 10^{17} \: N}} [/tex]
See MoreGravity is a thing has depends on ... https://brainly.com/question/26485200A car of mass 1000 kg is heading east at 25 m/s. It collides with a car of mass 1200 kg heading north at 30 m/s. When the cars collide, they stick together.
d. At what angle do the cars move after the collision? (2 points)
Given :-
A car of mass 1000 kg is heading east at 25 m/s. It collides with a car of mass 1200 kg heading north at 30 m/s. When the cars collide, they stick together.To Find :-
At what angle do the cars move after the collision?Solution :-
Here it's given that a car of mass 1000kg moving with velocity of 25m/s North . Another car of mass 1200kg is moving with velocity 30m/s East.
So that ,
[tex]v_{1}= 25m/s \ E= 25 \hat{i} m/s [/tex]
And ,
[tex]v_{2}= 30m/s \ N = 30 \hat{j} m/s [/tex]
See attachment .
From Triangle law of vector addition , the resultant of both vectors will be given by third side of the triangle taken in opposite direction.
So , if the resultant velocity makes an angle [tex]\theta[/tex] . Then ,
[tex] tan\theta = \dfrac{v_2}{v_1} [/tex]
Substituting the respective values,
[tex]tan\theta =\dfrac{30m/s}{25m/s} [/tex]
Simplify ,
[tex]tan\theta =\dfrac{6}{5}[/tex]
Take arctan both sides ,
[tex]\theta = tan^{-1}\bigg(\dfrac{6}{5}\bigg)[/tex]
Hence the cars move at an angle of tan-¹(6/5) NE after the collision .
The net force on an object is
Answer:
Net Force. when all combinations of force acting on an object. Force. A push or pull
So it's the third answer
( the combination of all forces acting on it )
What is the difference between molecules and
compounds?
Answer:
All compounds can be classified as molecules, but not all molecules can be called compounds. Molecules are formed by two or more atoms that are bonded by chemical bonding's. Compounds are constructed by two or more elements where the elements are mixed in fixed ratios.
Answer:
Molecules are formed by two or more atoms that are bonded by chemical bondings.
Compounds are constructed by two or more elements where the elements are mixed in fixed ratios
*All compounds can be classified as molecules, but not all molecules can be called compounds.
Explanation:
pls brainliest if you don't mind
anyway i hope this helped have an awesome day bye byee
List any two reasons for shifting to alternate energy resources?
Answer:
because non renewables resources are ending day by day ,
alternative energy resources are renewables so it can reduce the load of using non renewables,etc
Explanation:
hope this will help you!
7 principles of Exercise and Sports Training
Answer: individuality, specificity, progression, overload, adaptation, recovery, and reversibility.
Explanation:
individuality, specificity, progression, overload, adaptation, recovery, and reversibility.
Answer:
1. individuality
2. specificity
3. overload
4. adaptation
5. recovery
6. reversibility
7. progression
Explanation:
I learned this last year.
I am confused how to find the final velocity after the collision of the block?
Answer:
kmvmm x=0
l
V
V
0 = kmvm = x=0
Explanation:
list some of the electronic system?
Answer:
▪list some of the electronic system?
➢ An audio system, TV, or any Mp3 player is the example of an electronic system. The sound waves are converted to electrical signals and they are amplified to process the output of high strengthened audio signals, through speakers.
[tex]TextFromYourMrEx...[/tex]
#CarryOnLearning
One day, the distance between the crests of the waves at sea is 2.5m. The shortest time between the lowest and highest positions of the floating boat was 0.625 seconds.
a) Calculate the wave period.
b) Calculate the speed of the wave.
Answer:
1.25 sec, 2 m/s
Explanation:
Period = 2 * 0.625 sec = 1.25 sec
speed = 2.5/1.25 = 2 m/s
Can a convex mirror form a real image?
Answer:
yes !
Explanation:
a mirror transforms and flips , but nonetheless produces a real image.
A ray of light bends upon entering a new medium. What is the phenomenon called?
Explanation:
refraction is the change in direction of a wave passing from one medium to another or from a gradual change in the medium.
What is the velocity (in metres per second) of a Canadian
Forces CF-18 fighter jet that travels 8.864 km [S] in
0.297 min?
Answer:
497 m/s
Explanation:
(8.864 x 10^3 m)/(0.297 * 60 sec) = 497 m/s
The velocity (in metres per second) of a Canadian Forces CF-18 fighter jet would be 497.41 meters/second.
What is speed?The total distance covered by any object per unit of time is known as speed.
As given in the problem we have to find out the velocity (in meters per second) of a Canadian Forces CF-18 fighter jet that travels 8.864 kilometers [S] in 0.297 minutes,
The distance traveled by the CF-18 fighter jet = 8.864 kilometers
1 kilometer = 1000 meters
8.864 kilometers = 8.864× 1000 meters
=8864 meters
The time taken by CF-18 fighter jet = 0.297 minutes
1 minute = 60 seconds
0.297 minutes = 0.297 ×60 seconds
=17.82 seconds
The velocity of the CF-18 fighter jet =8864 meters/17.82 seconds
= 497.41 meters/second
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A ball is thrown 125 meters upward and then falls the same distance back to Earth. Neglecting air resistance, its total time in the air is
Answer:
the ball is in the air for 10 seconds
Explanation:
let gravity = 10m/s/s
height = 1/2 acceleration • time^2
125 m = 1/2 • 10 m/s/s • time ^2
125m = 5 m/s/s • time^2
25s = time^2
5 s = time
5 seconds is the time required for half of the flight
time total = 2 • time
time total = 2 • 5s
time total = 10 s
What is the Story of Issac Newton
Answer:
Isaac Newton is considered one of the most important scientists in history. ... During his lifetime Newton developed the theory of gravity, the laws of motion (which became the basis for physics), a new type of mathematics called calculus. The legend is that Newton discovered Gravity when he saw a falling apple while thinking about the forces of nature. Whatever really happened, Newton realized that some force must be acting on falling objects like apples because otherwise they would not start moving from rest.
A copper wire has a diameter of 1.947 mm. What magnitude current flows when the drift velocity is 1.79 mm/s
Answer:
72.5 A
Explanation:
There are about 13.6 coulombs of free electron charges in each cubic mm of copper. So, the rate of movement of charge is that quantity multiplied by the volume in the flow.
V = πr²h . . . . . volume of a cylinder
V = π(1.947 mm/2)²(1.79 mm/s) = 5.329 mm³/s
Then the charge flow rate is ...
(13.6 C/mm³)(5.329 mm³/s) = 72.5 C/s
The magnitude of the current is about 72.5 amperes.
______
Additional comment
The volume of free charge in copper can be computed from the density, molar mass, number of atoms in a mole, number of charges in a coulomb, and the number of free charges per atom. Some of the combinations of necessary calculations can be found with a web search, so it is not unreasonable to presume that the charge density is known.
GIVING BRAINIEST TO FAST ANSWER!!!!
How does the sun's energy help maintain Earth's energy budget? (3 points)
A part of it is trapped by carbon dioxide and methane.
A part of it heats up Earth's land and water equally.
All of it is turned back towards space.
All of it is trapped by the clouds.
Activity 5: My FB (Faulty Block)
Directions: Given the illustration of the fault blocks below, draw how it looks like
after acted upon by stress forces. Draw the direction of forces acting on each type
of stress force in the fault blocks and identify the type of stress acting on the
block.
Which statement describes the density of the inner planets?
All the inner planets are dense.
The inner planets are less dense than the outer planets.
Earth is dense, while the other inner planets are not.
Mercury and Venus are dense, while Earth and Mars are no
Answer:
The inner planets are less dense than the outer planets
Please brainliest my answer iam begging you for god sake
Answer:
The inner planets are less dense than the outer planets .
Explanation:
Please Mark Me As a brainliestA 1,200 kg car accelerates at 3 m/s2. What net force is the car experiencing during this
acceleration?
0 3600 N
0 2000 N
2400 N
O ON
Answer:
3600 N
Explanation:
F=ma
1200*3 = 3600
i’m kinda stuck right now…
Is black made of all colors?
Black is not a color, but rather a shade. In color theory, a shade is a pure color mixed with black. It decreases its lightness while nearly conserving its chromaticity. Strictly speaking, a "shade of black" is always a pure black itself and a "tint of black" would be a neutral gray. Unlike these, many off-black colors possess a hue and a colorfulness (also called saturation).
Attached is an image showing a few of the different shades of black.
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
The answer is "no" because black is not made of all colors, in fact black is not a color, but black is the absence of light.
What is Light?Light is an electromagnetic radiation which can be recognized by the human eye. Electromagnetic radiation occurs at a wide variety of wavelengths, from cosmic rays with wavelengths smaller than around 1 1011 meters to radio waves estimated in meters.
Within that large spectrum, the colors visible to humans comprise a relatively small band, ranging from around 700 nanometers for red light to roughly 400 nm for violet light. The spectral areas close to the visible band are also referred to as light, with infrared at one side and ultraviolet the other.
The absence or full assimilation of visible light produces the color black. It is an anamorphic lens color with no tint, similar to white and gray. It is frequently used symbolically or colloquially to denote darkness.
To know more about Light :
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the nuclues of an atom contains which subatomic particles
A heat engine is used to convert heat into which of the following?
Answer:
work
Explanation:
In a pulley system, two blocks are connected by a rope as shown below. The coefficient of static friction between block A and the surface is 0.8. Block A has a mass of 20kg. What is the minimum mass that block B can have so that block A moves?
Hi there!
We can begin by doing a summation of forces for each block.
Block A:
This block has the force of tension (in direction of acceleration +) and static friction (opposite direction -) acting on it. Thus:
[tex]\Sigma F_A = T - F_s\\\\m_Aa = T - \mu m_Ag[/tex]
Block B:
This block has the force of tension (opposite of acc. -) and gravity (in direction of acc +), working on it.
[tex]\Sigma F_B = m_Bg - T\\\\ m_Ba = m_Bg - T[/tex]
Add both of the expressions and solve for the maximum mass of Block B.
[tex]\Sigma F = m_Bg - T + T - \mu m_Ag\\\\a(m_A + m_B) = m_Bg - \mu m_Ag[/tex]
To find the minimum value, we can set a = 0, so:
[tex]0 = m_Bg - \mu m_Ag\\\\\mu m_Ag = m_B g\\\\0.8(20)(9.8) = m_B (9.8)\\\\m_B = \frac{0.8(20)(9.8)}{9.8)} = \boxed{16 kg}[/tex]
The block must weigh > 16 kg for block A to move.
Find the charge on capacitor, C2 , in the diagram below if V_ab=24.0 volts,〖 C〗_1=6.00 μF,〖 C〗_2= 3.00 μF,and C_3=10.0 μF.
The charge on the capacitor 2 (C₂) is 48μF.
Analysis of the circuit diagramIn the circuit diagram, C₁ and C₂ are in series connection, while C₃ is parallel to C₁ and C₂.
Same charge flows in a series arrangement (charge on C₁ = charge on C₂).Same voltage flows in a parallel arrangement (voltage on C₁, C₂ = voltage on C₃).Charge on capacitor C₁ and C₂[tex]Q_1 = Q_2 = Q\\\\V = \frac{Q}{C_1} + \frac{Q}{C_2} \\\\V = Q(\frac{1}{C_1}+ \frac{1}{C_2} )\\\\V = Q(\frac{C_2 + C_1}{C_1 C_2} )\\\\Q = V(\frac{C_1 C_2}{C_2+ C_1} )\\\\Q = 24 \times (\frac{6\times 10^{-6} \times 3 \times 10^{-6}}{6\times 10^{-6} \ + \ 3\times 10^{-6}} )\\\\Q = \frac{4.32 \times 10^{-10}}{9\times 10^{-6}} \\\\Q = 4.8\times 10^{-5} \ C\\\\Q = 48 \ \mu C[/tex]
Thus, the charge on the capacitor 2 (C₂) is 48μF.
Learn more about charge on capacitor here: https://brainly.com/question/13578522
how has globalization led to underdeveloped countries?
Answer: Economic growth is the main channel. Globalization can affect poverty. when countries open up to trade, they tend to grow faster and living standards do tend to increase.
Explanation: I hope this helps :)
What does acid rain look like so that anyone can recognize it?
HITLOW
SS
1/6
A5 kg body is having a Kinetic energy of 250 J. What is the velocity of the body?
15 m/s
20 m/s
40 m/s
10 m/s
ME
Answer:
10 m/s
Explanation:
KE = 1/2 • m • v^2
250 J = 1/2 • 5 kg • v^2
(2 • 250 J / 5 kg )^1/2 = v
(100)^1/2 = v
10 = v
A bullet is shot vertically upward with an initial velocity of 128 ft/s. The bullet's height after t seconds is y(t) = 128t - 16t2. What is the height of the bullet at the time the velocity is 0 ft/s?
The height of the bullet when the velocity is zero is 256 ft.
Height of the bullet when the velocity is zeroThe height of the bullet when the velocity is zero is determined by taking derivative of the function as shown below;
[tex]v = \frac{dy}{dt} = 128 -32t \\\\when \ v \ is \ zero\\\\v = 0\\\\128 - 32t = 0\\\\32t = 128\\\\t = \frac{128}{32} \\\\t = 4 \ s[/tex]
The height of the bullet at this time is calculated as follows;
[tex]y(4) = 128(4) - 16(4)^2\\\\y(4) = 256 \ ft[/tex]
Learn more about height of projectiles here: https://brainly.com/question/10008919
The largest identified asteroid is Ceres and is about three times the size of the Moon.
True
or
False
[tex]false[/tex]
Hope it helps you
A ball is placed at the top of a hill then released. After 5 seconds it has a speed of 20 m/s. What is the average acceleration of the ball
Answer:2
Explanation:When the ball is released from the top of the hill then it's initial velocity (u)=0 And it's final velocity will be after 5 second (v)=2.
Answer:
Explanation:
a ball is placed at the top of the hill and then released after five seconds and has a speed of 20 m/s. What is the average acceleration of the ball?