By applying the law of universal gravitation, the distance between the milky way and the andromeda galaxy is equal to 4.2 × 10¹¹ meters.
Given the following data:
Mass A, m = 4.0 × 10¹¹ kg.Mass B, M = 2.0 × 10³⁰ kg.Gravitational force, F = 2.4 × 10³⁰ Newton.Scientific data:
Gravitational constant = 6.67 × 10⁻¹¹ m/kg²
How to calculate the distance?In order to determine the distance between the milky way and the andromeda galaxy, we would apply the law of universal gravitation.
According to the law of universal gravitation, the distance between two astronomical bodies can be calculated by using this formula:
[tex]d = \sqrt{\frac{GmM}{F} }[/tex]
Substituting the parameters into the formula, we have;
[tex]d = \sqrt{\frac{6.67 \times 10^{-11} \times 2.0 \times 10^{30} \times 4.0 \times 10^{11}}{2.4 \times 10^{30}} }[/tex]
Distance, d = 4.2 × 10¹¹ meters.
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Assuming the frequency stays the same, will a sound wave have a larger or smaller wavelength when it passes from room temperature air (20°C) to water? Explain your answer with math, words, or both.
Answer:
The wavelength of this sound wave would be longer in water than in the air.
Explanation:
Let [tex]f[/tex] denote the frequency of this sound wave (standard unit: [tex]\rm s^{-1}[/tex].)
If the speed of sound in a particular medium is [tex]v[/tex] (standard unit: [tex]{\rm m \cdot s^{-1}}[/tex],) the wavelength [tex]\lambda[/tex] of this wave in that medium would be:
[tex]\begin{aligned} \lambda = \frac{v}{f} && \genfrac{}{}{0}{}{(\text{standard unit: ${\rm m \cdot s^{-1}}$})}{(\text{standard unit: ${\rm s^{-1}}$})}\end{aligned}[/tex].
Let [tex]v_\text{water}[/tex] denote the speed of sound in water and let [tex]v_\text{air}[/tex] denote the speed of sound in the air at room temperature.
The wavelength of this sound wave in water would be:
[tex]\displaystyle \lambda_{\text{water}} = \frac{v_{\text{water}}}{f}[/tex].
The wavelength of this sound wave in the air at room temperature would be:
[tex]\displaystyle \lambda_{\text{air}} = \frac{v_{\text{air}}}{f}[/tex].
Fact: the speed of sound in water (a liquid) is greater than the speed of sound in air at room temperature. In other words:
[tex]v_{\text{water}} > v_{\text{air}}[/tex].
Given that [tex]f > 0[/tex]:
[tex]\begin{aligned} \frac{v_{\text{water}}}{f} > \frac{v_{\text{air}}}{f}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned} \lambda_{\text{water}} > \lambda_{\text{air}}\end{aligned}[/tex].
17.
_______ energy is energy that is stored or waiting to be used.
Mechanical
Kinetic
Electrical
Potential
A model train running on an inclined track is part of a closed system that has
316 J of mechanical energy. If the kinetic energy of the train decreases from
314 J to 250 J, what happens to the gravitational potential energy of the
system?
A. It decreases from 66 J to 2 J.
B. It decreases from 316 J to 314 J.
SMIT
OC. It increases from 2 J to 66 J.
D. It increases from 316 J-to 564 J.
If the kinetic energy of the train decreases from 314 J to 250 J, the gravitational potential energy of the system It increases from 2 J to 66 J.
What is conservation of mechanical energy?The principle of conservation of mechanical energy states that the total mechanical energy of a system is always constant. This means that the sum of the potential and the kinetic energy does not change.
Thus, if the kinetic energy of the train decreases from 314 J to 250 J, the gravitational potential energy of the system It increases from 2 J to 66 J.
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what is the acceleration of the train
Answer:
a=1.94 ms−2. is acceleration of the train
The visible spectrum refers to the tiny portion of the electromagnetic spectrum that we ________.
Answer:
are able to see/observe
Explanation:
Humans are not able to see most wavelengths in the universe--but there is a select range that is visible to our eyes. This (which is usually shown on an electromagnetic spectrum diagram/chart/depiction by a small portion of rainbow) is the visible light spectrum
how many cubic meters of habitable space was available in skylab?
A 1,000
B 263
C 5,263
D 10,000
361 cubic meters of habitable space was available in the skylab. None of the given options are correct.
Who launched skylab?NASA launched the first American space station, called Skylab.
The fuel tank of the Saturn SIV-B rocket stage served as the Skylab's residential quarters.
Skylab's livable capacity was large in comparison to the spacecraft that American astronauts had previously used 361 cubic meters.
Skylab offered 361 cubic meters of livable area.
Hence, none of the given options is correct.
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A boy is trying to roll a bowling ball up a hill, as shown in the image below. If
friction is ignored, what is the minimum initial velocity that the ball must have
for it to reach the top of the hill? (Recall that g = 9.8 m/s²)
22.5 m
O A. 28 m/s
O B. 7 m/s
OC. 14 m/s
OD. 21 m/s
The minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s. The correct option is D.
What is mechanical energy?The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.
M.E = KE +PE
A boy is trying to roll a bowling ball up a hill. The friction is ignored. The ball must have to reach the top of the hill with a velocity. The acceleration due to gravity, g = 9.8 m/s²
The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.
M.E bottom of hill = M.E on top of hill
Kinetic energy + Potential energy = Kinetic energy + Potential energy
1/2 mu² + 0 = 0 + mgh
At the top of hill, the velocity will become zero. So, final kinetic energy is zero.
Substituting the values, we have
1/2 x u² = 9.8 x 22.5
u = sqrt [2 x9.8 x 22.5 ]
u= 21 m/s
Thus, the minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s.
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for the whole page done i reward u with 50 points i am very tired and i have many work to do so thank you guys for the help
Answer:
Box 1
Explanation:
Formula we are using :
Force = mass × acceleration
or
mass = Force / acceleration (since mass needs to be found)
=============================================================
Box 1 :
⇒ mass = 5 N / 5 m/s²
⇒ mass = 1 kg
=========================================================
Box 2 :
⇒ mass = 5 N / 0.75 m/s²
⇒ mass = 5 × 4/3 = 20/3 kg
⇒ mass = 6.67 kg
===========================================================
Box 3 :
⇒ mass = 5 N / 4.3 m/s²
⇒ mass = 50/43 kg
⇒ mass = 1.16 kg
===========================================================
On comparing Box 1, Box 2, and Box 3, we understand that Box 1 has the smallest mass
We will use Newton's second law
F=mam=F/a#1
m=5/5=1kg#Box 2
m=5/0.75m=6.67kg#Box 3
5/4.3m=1.16kgFirst box has smallest mass
What are 3 reasons why animals stay in herds?
Answer:
1) Animals form groups to increase their chance of survival.
2) Animals stay in groups because it makes hunting for food easier.
3) Animals can protect their young ones much easier.
Explanation: Hope it helps you :)))))
have a good day
What is the time required for an object starting from rest.
I think it’s gas but I’m not sure.
Answer:
Liquid
Explanation:
The substance will be liquid because the gas form will be 100° Celsius. So, it is not gas instead it is liquid. Solid is not the answer because it has to be 0° C
4.09 Lab: Sunrise, Sunset
4.Based on your observations, describe how the length of day is affected by latitude in the summer and in the winter. In your explanation, explain which latitudes are affected most by the seasonal change and which latitudes are affected least.
Latitude affects the length of the day due to the inclination of its axial tilt, which also influences the reception of sunlight.
What is Earth's inclination?Earth's inclination makes reference to its axial tilt which is approximately 23.5 degrees.
Earth's inclination influence the amount of sunlight received by the Earth's surface, thereby affecting the length of the day at different latitudes.
This difference is more marked at high latitudes and near the Earth's poles, we have six months of plenty of light and six months of night.
In conclusion, latitude affects the length of the day due to the inclination of its axial tilt which also influences the reception of sunlight.
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A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?
A. 100 kilometers/hour south
OB. 200 kilometers/hour
O.C. 200 kilometers/hour north
OD. 100 kilometers/hour
Explanation:
Total displacement = 200 km
Total time taken = 2 hour...
Now...
[tex]average \: velocity \: = \frac{total \: displacement}{total \: time \: taken \: } \\ [/tex]
[tex] = \frac{200}{2} \\ [/tex]
= 100 kilometers/hour south
Charina says that when waves interact with an object, they will interfere with the object, and when waves interact with other waves, they will reflect off each other. Do you agree with her? Why or why not?
I disagree with her because interference happens two or more waves interact with one another.
What is Interference?This is a phenomenon where waves pass through each other along intersecting or coincident paths.
This therefore means that waves interacting with an object won't lead to interference in this case.
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Answer: sample response
I disagree with her, because interference happens when waves interact with other waves. Reflection happens when waves interact with an object and bounce off it.
Explanation:
The length of the ear canal is 2.5 cm and the speed of sound in air is 300 m/s. Which of the following is a reasonable estimate of a frequency that can be heard by the human ear?
Choose 1 answer:
a) .001 Hz
b) 1 Hz
c) 10,000 Hz
d) 100,000 Hz
Show steps please
10,000 Hz is a reasonable estimate of a frequency that can be heard by the human ear.
What frequency heard by human ear?Humans can detect sounds in a frequency range from about 20 Hz to 20000 Hz. Lower than 20 Hz and higher than 20000 Hz can't be heard by the human ear. We can say that 10000 Hz can be hear because it comes in this range
So we can conclude that 10,000 Hz is a reasonable estimate of a frequency that can be heard by the human ear.
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3. A block falls from a table 0.6 m high. It lands on a vertical spring which has a spring constant of k= 2400 N/m.
The spring is initially 25 cm high, but it is compressed to a height of 10 cm when it stops the block. Find the mass of
the block.
The chart show the masses and velocities of two colliding objects that stick together after a collision.
According to the law of conservation of momentum, what is the momentum of the object after the collision?
4,500 g · m/s
1,750 g · m/s
1,500 kg · m/s
3,000 kg · m/s
The momentum of the object after the collision is 1500 kg. m/s.
What is conservation of momentum principle?When two bodies of different masses move together each other and have head on collision, they travel to same or different direction after collision.
The external force is not acting here, so the initial momentum is equal to the final momentum. In inelastic collision, after the collision, the two objects are stick together and final velocity is the common velocity for both the bodies.
Given is the chart show the masses and velocities of two colliding objects that stick together after a collision.
Object Mass (kg) Velocity (m/s)
A 200 15
B 150 - 10
Using the conservation of momentum principle, we have
m₁u₁ +m₂u₂ =(m₁ +m₂) v = Pf
Substitute the values, then the momentum after collision will be
200x15 +150x(-10) =Pf
Pf = 1500 kg. m/s
Thus, the momentum after collision is 1500 kg. m/s.
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Hello people ~
A current passes through a resistor. If K₁ and K₂ represent the average kinetic energy of the conduction electrons and the metal ions respectively then
(a) K₁ < K₂
(b) K₁ = K₂
(c) K₁> K₂
(d) any of these three may occur
Answer:
K1>K2
Explanation:
The main reason behind this is law of conservation of momentum
Momentum can neither be created nor endorsed.But
the factor drift velocity affects the scenario.
Drift velocities of electrons is way more than velocities of ions so
K1 is greater than K2Option C
Newton’s first law of motion was a giant leap forward in scientific thought during Newton’s time. Even today, the idea is sometimes difficult at first for people to understand.
Which statement is the best example of an object and motion that would make it hard for people to accept Newton’s first law?
A rolling ball eventually slows down and comes to a stop.
A wagon must be pushed before it begins to move.
The heavier the load in a cart, the harder the cart is to turn.
A box does not move when pushed equally from opposite sides.
Answer:
the heavier the load in a cart ,the harder the cart is to turn
Answer:
C. The Heavier the load the harder the cart is 2 turn
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Three pairs of wooden dowel rods are mounted on a wooden platform. Small plastic cylinders are attached to their ends; the cylinders are colored red, green and blue. Each pair of dowel rods has a different length. One of the red cylinders is pulled back and let go of, causing it to begin vibrating back and forth with one complete cycle every two seconds. The natural frequency of this dowel rod is ______ Hz. a. 0.25 b. 0.50 c. 1.0 d. 2.0
The natural frequency of this dowel rod is determined as 0.5 Hz.
What is frequency?The frequency of an object is the number of complete revolutions per second.
F = n/t
where;
n is number of compete revolutiont is timeF = 1/2
F = 0.5 Hz
Thus, the natural frequency of this dowel rod is determined as 0.5 Hz.
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Alfredo makes a diagram to organize his notes about charging objects.
Which statement should he place in the region marked X?
It does not involve touching the objects together.
The objects develop opposite charges.
Electrons do not move between objects.
The objects have the same charge.
The region marked X in the diagram shows that the objects have the same charge.
What is conduction?
The term conduction has to do with the manner of charging in which charge is passed from one object to another. Induction involves charging objects without the objects touching each other.
The region marked X in the diagram shows that the objects have the same charge.
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Answer:
D
Explanation:
The tau neutrino, the muon neutrino, and the electron neutrino are all.
Tau neutrino, the muon neutrino, and the electron neutrino are all the types of neutrino.
What is a neutrino?The term neutrino refers to a type of subatomic particle that is very similar to an electron. The difference between the neutrino and the electron is that the neutrino has no charge.
Tau neutrino, the muon neutrino, and the electron neutrino are all the types of neutrino.
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Identical twins have identical DNA, _______, and are usually always the same gender.
A. Temperament
B. Blood type
C. Personality
D. Experiences
Answer:
Blood Type because DNA also contains blood type
Olivia is on a swing at the playground.
A girl is swinging on a swing set. At W she is about 45 degrees up and to the left. At X she is near the bottom of the swing just to the left. At Y she is near the bottom of the swing just to the right. At Z she is about 45 degrees up and to the right.
If the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)
W
X
Y
Z
Mark this and return Save and Exit Next Submit
Olivia is on a swing at the playground. The kinetic energy is increasing and her potential energy decreasing at point X.
What is kinetic energy and potential energy?The kinetic energy of an object is the ability to do work by virtue of its motion and potential energy is the ability to do work by virtue of its position.
At point W and Z, Olivia is at the maximum displacement from the mean position, where kinetic energy is zero and potential energy is maximum.
At point Y, it is approaching to increase its potential energy and decreasing kinetic energy. Opposite to this, at point X, kinetic energy is increasing and potential energy is decreasing.
Thus, the kinetic energy is increasing and her potential energy decreasing at point X.
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Answer:
X
Explanation:
An electron and a proton have charges of an equal magnitude but opposite sign of 1.60 10-19 C. If the electron and proton in a hydrogen atom are separated by a distance of 2.00 10-11 m, what are the magnitude and direction of the electrostatic force exerted on the electron by the proton
The proton's electrostatic force exerted on the electron will be 3.5×10¹² N.
What is the electrostatic force?It is a force imposed by one charge on another as a result of the field.
The electrostatic force produced by one line charge on another line charge separated by r is determined by the charge potency of each charge as well as the separation distance between them.
The electrostatic force is found as:
[tex]\rm F= \frac{Kq_1q_2}{R^2} \\\\ F= \frac{9 \times 10^ 9 \times 1.6 \times 10^{-19} \times -1.6 \times 10^{-19} }{(2.00\times 10^{-11})^2} \\\\\ F= 3.5 \times 10^{12} \ N[/tex]
Hence, the proton's electrostatic force exerted on the electron will be 3.5×10¹² N.
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(42)What is the speed of sound in air at a temperature of 15°C?
Answer:
340 m/s
At the temperature of 15 degrees Celsius, the velocity of sound is about 340 m/s in air.
What happens to the lifetime of stars as they become more massive?.
According to Ohm’s law, which is stated as I = V ÷ R, which two sentences are true?
If the current increases, then the resistance increases. Assume voltage is constant.
If the resistance decreases, then the current increases. Assume voltage is constant.
If the voltage increases, then the resistance decreases. Assume current is constant.
If the voltage increases, then the current increases. Assume resistance is constant.
If the voltage increases, then the current decreases. Assume resistance is constant.
Answer:
2nd and 4th statements.
Explanation
If voltage is constant ( k ) and I = V / R,
Then I is inversely proportional to R so if I increases R decreases and vice versa, according to that the second statement is correct not the first.
if current is constant, then v is directly proportional to R and vice versa..the 3rd statement is wrong
if resistance is constant v is directly proportional to I, then only the 4th is correct not the 5th
Technician A says that sometimes linings are bonded to the metal brake
backing. Technician B says that sometimes linings are riveted to the metal
brake backing. Who is right?
O A only
O Neither A nor B
OB only
Both A and B
Both technician A and technician B are right because linings are attached to the brake shoe either by riveting or bonding.
How are linings attached to a brake?Linings are attached to the brake shoe either by riveting or bonding.
Riveted lining attachment has several advantages when compared to bonding lining attachment.
One of these advantages include;
Riveted lining is simpler,However, rivet heads may score the drum if the linings are not replaced soon enough.
Thus, we can conclude that both technician A and technician B are correct, because linings are attached to the brake shoe either by riveting or bonding.
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Trying to explain a solar eclipse is an example of?
Answer:
scientific inquiry.
Explanation:
scientific inquiry. Scientific inquiry encompasses the many methods through which scientists investigate the nature of reality and provide interpretations based on the data gathered.