Newton's law of universal gravitation is represented by
GMm
where F is the magnitude of the gravitational force
exerted by one small object on another, M and mare
the masses of the objects, and ris a distance. Force has
the SI units kg m/s. What are the SI units of the pro-
portionality constant GP
Answers
Answer: The SI units of the proportionality constant G in Newton's law of universal gravitation are:
SI Unit of G: N m^2/kg^2
Where:
- N represents the unit for force, which is the Newton.
- m represents the unit for distance, which is meter.
- kg represents the unit for mass, which is kilogram.
So, the SI unit of G is N m^2/kg^2, which can also be written as Nm^2kg^-2.
The SI unit of the proportionality constant G is cubic meters per kilogram-second squared (m³ / kg s²)
The equation for Newton's law of universal gravitation is:
F = G × (M × m) / r²
where:
F - is the force of attraction between two objects
M - and m are the masses of the two objects
r- is the distance between their centers of mass
G - is the gravitational constant.
To find the SI units of the proportionality constant G, we can rearrange the equation as:
G = F × r² / (M × m)
Substituting the units of the other quantities:
F has the SI unit of Newton (kg m/s²)
r has the SI unit of meter (m)
M and m have the SI unit of kilogram (kg)
So, the SI units of the proportionality constant G are:
G = N × m² / (kg × kg)
Simplifying the expression, we get:
G = m³ / (kg × s²)
Therefore, the SI unit of the proportionality constant G is cubic meters per kilogram-second squared (m³ / kg s²)
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Related Questions
The apparatus shown in Figure 1 is used to measure the specific latent heat of vaporisation of water. The
balance reading decreased from 0.152 kg to 0.144 kg in the time taken to supply 18 400 I of energy to
the boiling water. Use the data to calculate the specific latent heat of vaporisation of water.
Answers
The specific latent heat of vaporisation of water is 2,300,000 J/kg.
To calculate the specific latent heat of vaporisation of water
we need to use the formula:
L = Q/m
Where
L is the specific latent heat of vaporisationQ is the energy supplied to the waterm is the mass of water that is vaporizedFrom the information given, we know that 18,400 J of energy was supplied to the boiling water. We can calculate the mass of water that was vaporized using the change in mass on the balance:
m = 0.152 kg - 0.144 kg = 0.008 kg
Now we can substitute these values into the formula to find the specific latent heat of vaporisation:
L = Q/m = 18,400 J / 0.008 kg = 2,300,000 J/kg
Therefore, the specific latent heat of vaporisation of water is 2,300,000 J/kg.
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Which three drawings best represent objects
with kinetic energy?
Answers
Drawing A, B and C best represent objects with kinetic energy.
Among the given drawings, three that best represent objects with kinetic energy are:
Drawing A: A rolling ball: This drawing depicts a ball in motion, representing an object with kinetic energy. The ball's movement indicates that it possesses energy due to its motion.
Drawing B: A swinging pendulum: This drawing illustrates a pendulum in motion, swinging back and forth. The swinging motion demonstrates the presence of kinetic energy as the pendulum moves through its arc.
Drawing C: A flying bird: This drawing showcases a bird in flight, capturing the essence of an object with kinetic energy. The bird's motion through the air indicates that it possesses energy due to its movement.
These three drawings effectively portray objects in motion, representing the concept of kinetic energy, which is the energy possessed by an object due to its motion.
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What was the initial speed of a car if its speed is 40 m/s after 5 seconds of accelerating at -4 m/s²?
A. 50 m/s
B. 60 m/s
C. 25 m/s
D. 20 m/s
Answers
Answer:
\(\huge\boxed{\sf V_i=60 \ m/s}\)
Explanation:
Given Data:Final speed = \(V_f\) = 40 m/s
Time = t = 5 s
Acceleration = a = -4 m/s²
Required:Initial velocity = \(V_i\) = ?
Formula:\(\displaystyle a = \frac{V_f-V_i}{t}\)
Solution:Put the givens in the above formula
\(\displaystyle -4=\frac{40 - V_i}{5} \\\\Multiply \ -5 \ to \ both \ sides\\\\-4 \times 5 = 40 - V_i\\\\-20 =40-V_i\\\\Subtract \ 40 \ to \ both \ sides\\\\-20-40=-V_i\\\\-60\ m/s=-V_i\\\\60 \ m/s = V_i\\\\V_i=60 \ m/s\\\\\rule[225]{225}{2}\)
A truck covered 2/7 of a journey at an average speed of 40
mph. Then, it covered the remaining 200 miles at another
average speed. If the average for the whole journey was 35
mph, what was the amount of time for the whole journey?
h
Answers
Answer:8h
Explanation:
Answer: 8 h
Explanation:
I got it right
4. A 1.5 m tall man is standing 2m away from the concave lens (remember f is negative) of a peephole with a focal length of 3.0 cm. a) What is the distance to the image in centimeters? b) What is the magnification of the image in meters?
Answers
Here,
Size of object = 1.5 m;
Object distance (u) = - 2m = -200cm
focal length (f) = - 3.0 cm
Image distance (v) = ?
Using lens formula
\(\begin{gathered} \frac{1}{f}=\text{ }\frac{1}{v}-\frac{1}{u}; \\ \frac{1}{-3}=\frac{1}{v}-\frac{1}{-200}; \\ \frac{1}{-3}=\text{ }\frac{1}{v}\text{ +}\frac{1}{200} \\ \frac{1}{v}=\text{ -}\frac{1}{3}-\frac{1}{200}=-\text{ }\frac{203}{600} \\ v=\text{ - }\frac{600}{203}=\text{ -2.96 cm} \end{gathered}\)Now magnification is given by
\(Magnification=\text{ }\frac{v}{u}=\text{ }\frac{2.96}{200}=0.0148\)Final answer is :-
Image distance = - 2.96 cm & magnification = 0.0148
What must happen for electricity to be useful in your home?
Answers
Answer:
current must flow and chemical energy must take place
The creation of electricity in a coil of a wire through the movement of a magnet is called what?
A) electromagnet
B) Magnetosphere
C) Magnetism
D) Electromagnetic Induction
Answers
Answer:
D. Electromagnetic Induction.
Explanation:
Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.
Answers
The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).
What is contract manufacturing?Contract manufacturing or production occurs when a small business hires another company to produce its products.
This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.
However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.
Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.
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if the ectopic impulse arises from the middle of the right atrium the p' wave is:
Answers
An ectopic heartbeat is an irregular heartbeat that happens when the heart's sinoatrial node (SA node), which is its normal heartbeat pacemaker, is disrupted. Ectopic beats originate from a location outside of the SA node, disrupting the normal heart rhythm. When it comes to the various types of ectopic beats, the most common is premature ventricular contraction (PVC).
If the ectopic impulse arises from the middle of the right atrium, the P wave will be abnormal. This occurs when the heart's ventricles experience an unexpected electrical impulse, causing them to contract prematurely. The P wave is a wave that appears on an electrocardiogram (ECG) and represents the electrical activity of the atria. The sinoatrial node generates a normal P wave, which spreads through both atria and then travels to the atrioventricular node, which slows the impulse and transmits it to the ventricles. P’ waveIf the ectopic impulse arises from the middle of the right atrium, the P' wave is abnormal.
As a result, the ECG can display the following:P waves with a single, smooth contour that are narrower than normal, P waves that have a pointed apex and are taller than normal, and P waves that merge with other waves, making them indistinguishable on the ECG.P prime waves, which are visible on an ECG, are related to supraventricular beats. They're usually seen in the early part of a supraventricular tachycardia event, which is a fast heart rate originating from the atria.
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A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 10 N, Fy = −1 N, sx = 4 m, and
sy = 1 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
.
Answers
The work done by the force on the particle is 39J and the angle between F and s is 19.7 degree.
What is Force ?An item with mass is pulled or pushed which alters its velocity. A material that has the ability to change a body's rest or motion state is referred to as an external force. It possesses a magnitude and a direction.
Briefing:Force F = (Fx, Fy)
Displacement S = (Sx,Sy)
Fx=10N
Fy=-1N
Sx=4m
Sy=1m
F=(10,-1)N and S=(4,1)m
Work done is calculated by taking dot product of force and displacement vector:
W=F·S
W=10×4 + (-1)×1
W=40+(-1)=39J
W = 39 J
To find angle between F and s:
\(|F|=\sqrt{10^2+(-1)^2}\)
|F| = √101
|S| = √(4² + 1²)
|S| = √17
W = |F| |S| cosθ
39 = √101 √17 cosθ
θ = 19.7.
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at what temperature (in oc) does 13.09 g of argon occupy a volume of 9.82 l at a pressure of 1.47 atm? report your answer to 3 significant figures and do not include units in your answer.
Answers
The 13.09 g of argon occupies a volume of 9.82 L at a pressure of 1.47 atm at a temperature of 162°C.
To answer this question, we can use the ideal gas law:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.
First, we need to calculate the number of moles of argon:
n = m/M
where m is the mass of argon and M is the molar mass of argon (39.95 g/mol).
n = 13.09 g / 39.95 g/mol = 0.327 mol
Next, we can rearrange the ideal gas law to solve for temperature:
T = PV/nR
T = (1.47 atm) * (9.82 L) / (0.327 mol * 0.08206 L·atm/mol·K)
T = 436 K
Finally, we can convert this temperature to degrees Celsius:
T = 436 K - 273.15 = 162°C
Therefore, 13.09 g of argon occupies a volume of 9.82 L at a pressure of 1.47 atm at a temperature of 162°C.
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The intensity of the distributed lood acting on the beams 25 kN/m.) Determine the magnitude of reaction at Express your answer to three significant figures and include the appropriate units O ? N Value Units Submit Request Answer Figure Part 6 1 of 1 Delane te zand y components of reaction all sing scalar notation Express your answers using three significant figures separated by a comma HV AED vec ?
Answers
The magnitude of reaction at the beam due to the distributed load of 25 kN/m is 625 N.
What is the magnitude of reaction to the distributed load?The magnitude of reaction at the beam can be determined by calculating the total force exerted by the distributed load. In this case, the distributed load is given as 25 kN/m. To find the magnitude of reaction, we multiply the distributed load by the length of the beam.
Therefore, the magnitude of reaction is 25 kN/m multiplied by the length of the beam in meters. By performing the calculation, we obtain the value of 625 N as the magnitude of reaction at the beam due to the distributed load. This represents the total force exerted by the distributed load on the beam.
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How much work is done when 0.0042 C is moved through a potential difference of 12.0 V? Use W = qV A. 0.050 J B. 0.00035 J C. 2900 J D. 12 J
Answers
Answer:
Work done by charge (W) = 0.050 (Approx)
Explanation:
Given:
Charge (q) = 0.0042 C
Potential difference(V) = 12.0 V
Find:
Work done by charge
Computation:
Work done(W) = qV
Work done by charge (W) = (0.0042)(12)
Work done by charge (W) = 0.0504
Work done by charge (W) = 0.050 (Approx)
Answer:
Work done by charge (W) = 0.050 (Approx)
Explanation:
Charge (q) = 0.0042 C
Potential difference(V) = 12.0 V
Find:
Work done by charge
Computation:
Work done(W) = qV
Work done by charge (W) = (0.0042)(12)
Work done by charge (W) = 0.0504
Work done by charge (W) = 0.050 (Approx)
What does the color of a star indicate
Answers
Answer:
Its temperature
Explanation:
Answer:
The stars age
Explanation:
As stars age, they run out of hydrogen to burn, decreasing the amount of energy they give off. So the younger stars can look bluer while older ones look more red.
Hope this helps :3
Heat engine x has an efficiency of 67%. heat engine y has an efficiency of 82%. which best compares these two heat engines? heat engine x moves more thermal energy from cold to warm areas than heat engine y. heat engine x releases more energy to the surroundings than heat engine y. heat engine y releases more energy to the surroundings than heat engine y. heat engine y moves more thermal energy from cold to warm areas than heat engine x.
Answers
Heat engine y releases more energy to the surroundings than heat engine y compares the two heat engines in a better way.
Heat Engine:
It mainly works by bringing the working substance from warmer temperature to lower temperature. So, in the process of going through this cycle, the system performs some work on the surrounding. Then more work will be done by a more efficient engine.In the question, it is said that x has an efficiency of 67% and y has an efficiency of 82%.
Therefore, Heat Engine y releases more energy to the surroundings than heat engine y. Hence, option (c) is correct.
Incorrect options:
(a) It is incorrect because Heat engines work by taking heat from hotter regions to colder regions.
(b) It is incorrect because the efficiency of x is less than y.
(d) It is also incorrect because Heat engines work by taking heat from a hotter region to a colder one.
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7. A bullet leaves a 28-in rifle barrel at 2700 ft/s. What was a) its acceleration and b) time in the barrel?
Answers
The acceleration of a bullet that leaves a 28-in rifle barrel at 2700 ft/s is 1.562 x 10⁶ m/s² and its time in the barrel is 0.0017s
a) How to determine the acceleration of the bullet
Converting inches to a foot
1 inch = 1/12 foot
28-in = 1/12 x 28 ft
28-in = 2.33ft
Therefore, the distance, s, covered by the bullet is 2.333ft
Using one of the equations of motion
2as = u² - v²
The initial velocity is 0
Where a = acceleration of the bullet
s = distance
u = initial velocity
v = final velocity
a = v² - u² ÷ 2s
= (2700 ft/s)² - 0 ÷ 2 (2.333ft)
a = 1.562 x 10⁶ m/s²
b) How to determine the time of the bullet in the barrel
s = v² + u² ÷ 2
t = 2 ÷ (v² + u²)
t = 2 (2.333ft) ÷ (0 + 2700 ft/s)
t = 0.0017s
In summary, a bullet that leaves a 28-in rifle barrel at 2700 ft/s would have an acceleration of 1.562 x 10⁶ m/s², spending a time of 0.0017s in the barrel.
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g two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of group of answer choices kinetic energy momentum both kinetic and momentum none of the above
Answers
This collision violates conservation of both energy and momentum i.e, third option is correct.
According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.
According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.
Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)
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How does the plastic become positively charged
Answers
Explanation: electrons can be made to move from one object to another.protons do not move because they are tightly bound in the nuclei of atoms so the material that loses electrons becomes positively charged
A company has developed a new material for making optical fibre. The critical angle
of this material is much greater than that of glass, Lucite, or any other material
currently being used. Will this new product be successful?
a) No, because the materials currently in use work just fine.
b) There is not enough information here to tell.
Yes, because any materials used to make optical fibres should have a large
critical angle.
No, because any materials used to make optical fibres should have a small
critical angle.
Answers
A company has developed a new material for making optical fibre. The critical angle of this material is much greater than that of glass, Lucite, or any other material currently being used. This product cannot be successful because optical fibres should have a small critical angle.
A small critical angle implies that the total internal reflection can take place easily.
A flexible, transparent fiber composed of plastic or glass transmits light pulses from one end of an optical fiber to the other. High-speed and long-distance services are both possible with a fiber optic network.Typical applications for fiber optic lines in telecommunications include the Internet, telephone, and television. Many of the benefits of fiber optic connections cannot be found in copper lines. The cables have a larger bandwidth and transport data much more swiftly.An optical fiber has several glass components, which might number anywhere from a few to several hundred. A glass covering known as the cladding surrounds the glass fiber core in this instance's fiber cable.
Critical angle is that angle of incidence for which the angle of refraction is 90 degrees.
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HELP PLSSSSSSSSSS
lithium has three protons. which model shows a neutral atom of lithium?
Answers
Answer:
B
Explanation:
the 3 electrons makes it neutral
Answer:
B
Explanation:
For neutral atoms, the number of protons equal the number of electrons.
Thus, a neutral atom of lithium will have 3 electrons outside the nucleus.
A tugboat pulls a ship with a constant net horizontal force of 7.5x10^3 N. How much work is done on the ship if it moves 5km?
Answers
Answer:
The work done is 375×10²J or 37500J
Explanation:
W=F×d
W=F×s
W=7.5×10³×5
W=75×10²×5
W=375×10²J
You break a piece of Styrofoam packing material, and it releases lots of little spheres whose electric charge makes them stick annoyingly to you. If two of the spheres carry equal charges and repel with a force of 22 { mN} when they're 16 { mm} apart, what's the magnitude of the charge on each?
Answers
The magnitude of the charge on each sphere can be calculated using Coulomb's Law, which states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
In this case, we can rearrange the equation to solve for the charge, Q:
Q = √(Fd2/k),
where F is the force (22 mN), d is the distance (16 mm), and k is Coulomb's constant (8.99 x 109 Nm2/C2). Plugging in the values, we get:
Q = √(22 x 10-3 N x 16 x 10-3 m2/8.99 x 109 Nm2/C2)
Q = 0.087 C.
Therefore, the magnitude of the charge on each sphere is 0.087 C.
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11. A boat is rowed at 8 km/h directly.
across a river that flows at 6 km/h
a. What is the resultant speed of that boat?
b. How fast and in what direction can the
boat be rowed to reach a destination directly
across the river?
Answers
The correct answer is a. 10 km/h.
b. The boat would move at 10 km/h at a 37-degree upstream angle to cross straight (into the current)
To be more precise, the rate of change in an object's position relative to a frame of reference and time is another way to describe velocity. It determines how quickly or slowly something is going. Consider a scenario in which there are two moving items. If both items are going in the same direction, it is simple to determine which one is moving faster than the other.
v = √v_x^2 +v_y^2
v = √((8 km/h)^2 + (6 km/h)^2)
=10 km/h
direction = θ = tan^-1 (opposite / adacrent)
= tan^-1 (6/8)
= tan^-1 (37)
= 37 degree down stream.
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a 110 g hockey puck sent sliding over ice is stopped in 15 m by the frictional force on it from the ice. (a) if its initial speed is 6.0 m/s, what is the magnitude of the frictional force? (b) what is the coefficient of friction between the puck and the ice?
Answers
The frictional force where k is the unitary force of kinetic friction acting on an object and k is the coefficient of kinetic friction. For the vast majority of surfaces, K is less than S.
Explain about the magnitude of the frictional force?The weight of the object and the roughness of the surface in contact determine how much frictional force is generated. The friction force will grow as the roughness increases.
The weight of the object bearing normal to the surface times the coefficient of friction for the contacting surfaces gives the amount of the friction force. The force's direction is perpendicular to the surface and is in opposition to any forces acting on the box.
The amount of kinetic friction is inversely proportional to the amount of normal force and the degree of roughness between the sliding surfaces. The amount of static friction is inversely proportional to the amount of normal force and the degree of roughness between the sliding surfaces.
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An appliance is in a room repeatedly making the same sound all day. As the room heats up from 25 degrees Celsius to 35 degrees Celsius, what changes?
A. The sound wave's velocity decreases
B. The sound wave's frequency decreases
C. The sound wave's frequency increases
D. The sound wave's velocity increases
Answers
An appliance is in a room repeatedly making the same sound all day. As the room heats up from 25 degrees Celsius to 35 degrees Celsius is
B) The sound wave's frequency decreases
As the temperature of the room increments, the speed of sound waves within the discussed increments.
In any case, the recurrence of the sound wave created by the machine remains steady. This implies that the wavelength of the sound wave changes as the speed of the wave changes.
Agreeing with the wave condition, the speed of a wave is rise to its recurrence increased by its wavelength.
Subsequently, in the event that the speed of the wave increments and the recurrence remains steady, the wavelength must diminish. This results in a diminish within the recurrence of the sound wave, making it lower pitched.
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Answer:
Its A the other person is wrong
Explanation:
We repeat the experiment from the video, but this time we connect the wires in parallel rather than in series. Which wire will now dissipate the most heat? View Available Hint(s) We repeat the experiment from the video, but this time we connect the wires in parallel rather than in series. Which wire will now dissipate the most heat? The copper wire (resistance 0.1 Ω ) Both wires will dissipate the same amount of heat. The Nichrome wire (resistance 2.7 Ω ) Submit Provide Feedback Next
Answers
Answer:
The copper wire (resistance 0.1 Ω )
Explanation:
In a parallel connection, the same voltage is maintained across all the resistors but the current varies.
The larger the magnitude of the resistance, the smaller the current flowing in the circuit and the smaller the heat dissipated by the resistor.
Hence the copper wire dissipates the greatest heat.
how does current flowing through a resistor affect the temperature
Answers
1. Taking accurate measurements of small values using the ‘measure many and average’ method.
Each oscillation takes a small amount of time, and your reaction time is about 0.1 seconds. This means too much of the time you measure is your reaction time. Find out the percentage error with this calculation;
a. ((reaction time)⁄(time for one oscillation))x100=% error
b. To reduce the percentage error, time for ten oscillations.
c. Take the average time by dividing your answer by ten.
d. Your reaction time is still the same, 0.1 s. Find out the new percentage error with this calculation;
Answers
Answer:
i need free answers here
Explanation:
mention 4 layers of the atmosphere
Answers
Answer:
These layers are the troposphere, the stratosphere, the mesosphere and the thermosphere.
A further region, beginning about 500 km above the Earth's surface, is called the exosphere.
Explanation:
Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot.^_^
What is the end product of mitosis?
A. Four gametes
B. Two identical nuclei
C. One complete zygote
D. A cell with one set of chromosomes
Answers
Answer:
It is B
Explanation:
I did the test
From the given options, the end product of mitosis is Two identical nuclei (option b)
Mitosis is a fundamental cellular process that occurs in somatic (non-reproductive) cells, aiming to create two genetically identical daughter cells from one parent cell. It consists of several stages: prophase, metaphase, anaphase, and telophase.
During prophase, the chromatin (a combination of DNA and proteins) condenses into visible chromosomes, and the nuclear membrane disintegrates. In the subsequent stage, metaphase, the chromosomes align at the cell's equator, ensuring each daughter cell receives an equal number of chromosomes.
Next comes anaphase, where the paired chromosomes are pulled apart and move towards opposite poles of the cell. The final phase, telophase, involves the formation of two separate nuclei around the separated chromosomes.
At the end of mitosis, the single parent cell has divided into two genetically identical daughter cells, each containing a complete set of chromosomes. These daughter cells are fully functional and capable of carrying out their specific tasks within the organism.
So, the correct Answer: B. Two identical nuclei.
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