Radius is considered as r in this formula. The gravitational force which try pulls two objects with masses m1 and m2 apart over a certain distance is represented by the equation F = G*m1*m2/r^2. G, which represents the universal gravitational constant.
The product of each object's individual mass determines the gravitational force between them. The square of one object's mass determines how much gravity will pull on the other. If their mass is raised by a factor of two, the gravitational force between the two objects is quadrupled.
The formula F = GMm /r^2 describes the dimensions of G as the gravitational force that pulls two objects with point masses of m1 and m2 toward one another, and r represents the distance between them.
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The air in an inflated balloon (defined as the system) is warmed over a toaster and absorbs 130 j of heat. As it expands, it does 79 kj of work.
The system's internal energy change is -77.87 kJ.
Energy cannot be created or destroyed; instead, it can only be transformed from one form to another, according to the first law of thermodynamics.
Knowing that;
ΔE = q + w
internal energy, or E.
q = heat added/taken away
w = the system's or its own work
The system absorbed heat because it was already heated, so q is positive. It worked because the gas expanded, so w is negative.
Hence;
ΔE = 130 J- 78 × 10^3 J
ΔE = -77.87 kJ
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The air in an inflated balloon (defined as the system) is warmed over a toaster and absorbs 130 J of heat. As it expands, it does 78 kJ of work .What is the change in internal energy for the system?
What is the formula for the mean of the sampling distribution of p?.
The population proportion, sometimes referred to as sampling distribution mean of p is a statistic of central tendency that expresses the average value of a group of sample proportions.
The formula for the mean of the sampling distribution mean of p is given by:
μp = p
where "p" is the population proportion. This formula states that the mean of the sampling distribution of p is equal to the population proportion. This is known as the "Law of Large Numbers" which states that as the sample size increases, the sample proportion will become closer to the population proportion.
It is important to note that this formula assumes that the population is large, and the sample is random and taken from the population, so that the sample proportion will serve well for an approximate value of p.
This formula is also based on the assumption that the sample is large enough that the Central Limit Theorem applies, which states that the sampling distribution is estimated to be normal despite population distribution shape.
In summary, the formula for the mean of the sampling distribution of p is μp = p. It states that the mean of the sampling distribution of p is equal to the population proportion. This formula is based on the assumptions that the population is large, the sample is random and large enough, and the Central Limit Theorem applies.
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what type of magnet is used for the coil in a relay?
A relay typically uses an electro magnet as the coil. When an electric current flows through the coil, it creates a magnetic field that can actuate the relay's internal mechanism to close or open a switch.
What is function of electromagnet inside a relay?An electromagnet is a type of magnet that creates a magnetic field using an electric current. The electromagnet performs multiple roles in a relay. The electromagnet's primary job is to activate the relay's internal mechanism, which makes it possible for the switch contacts to close or open in response to an electric current flowing through the coil.
The armature of the relay, which is in charge of closing or opening the switch contacts, can also be attracted to or repelled by the electromagnet. Additionally, it serves as a control input for the relay, which helps to regulate power signal. Galvanic isolation between the two circuits can be achieved by using the electromagnet to isolate or separate the control circuit from the load circuit.
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What is the magnitude of 3i 4j?.
Magnitude of 3i + 4j is 5 unit.
A vector's length, or magnitude, is its most fundamental physical characteristic. As a symbol, ∥a∥ stands for the magnitude of the vector a.
Using the components and Pythagoras' theorem, you may determine the magnitude of force vectors. Imagine the x-coordinate of the force as the base of a triangle, the y-coordinate as the height of the triangle, and the total force as the hypotenuse.
To find the magnitude, we can use this following formula:
∥a∥ = √ ( a₁² + a₂² )
in this case, we are given that:
a₁ = 3
a₂ = 4
Hence, the magnitude is
∥a∥ = √ ( a₁² + a₂² )
∥a∥ = √ ( 3² + 4² )
∥a∥ = √25
∥a∥ = 5 unit
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How many gametes will be affected if nondisjunction happens?.
Four gametes will be affected if nondisjunction takes place. A new, unique progeny is produced during sexual reproduction when the sex cells known as gametes—eggs in females and sperm in males—combine.
After fertilization, children born to gametes with abnormal chromosomal numbers due to nondisjunction will also have abnormal chromosomal numbers. If nondisjunction takes place during Meiosis I in humans, two gametes without a chromosome and two gametes with extra chromosomes (24 each, or n+1) will be produced (22 chromosomes each, n-1 ). There may be one missing chromosome or up to n+1 chromosomes in each gamete (one extra). I've included a link to an animation that shows meiosis and non-disjunction in action.
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At which position does the child on the swing have the most kinetic energy?
The greatest kinetic energy of the boy is at position C
Where is the most kinetic energy?We have to note that the kinetic energy is the energy that is possessed by the object that is in motion. We know that there are two forms of the mechanical energy and these are the kinetic energy and the potential energy and this is due to to the position of the object.
We know that at the point where the child returns to the point of the starting there would be a maximum kinetic energy and this is at position C.
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define the relationship between the ecg and the pulse wave. explain why the timing of the qrs complex in the ecg and the start of the pulse wave do not coincide.
The ECG (electrocardiogram) records the electrical activity of the heart, while the pulse wave is the physical manifestation of this activity that can be felt at the wrist or neck.
The timing of the QRS complex in the ECG and the start of the pulse wave do not coincide because the electrical activity propagates through the heart before the mechanical contraction of the heart muscle.
The QRS complex in the ECG corresponds to the depolarization of the ventricles, which is the electrical signal that triggers the mechanical contraction of the heart muscle.
The ECG records the electrical activity of the heart, which is faster than the mechanical contraction of the heart muscle. The pulse wave is the physical manifestation of the mechanical contraction of the heart muscle, which can be felt at the wrist or neck.
The pulse wave travels through the blood vessels to the surface of the skin, which takes some time. Therefore, the timing of the QRS complex in the ECG, which represents the electrical activity, and the start of the pulse wave, which represents the mechanical contraction, do not coincide.
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How do you use weight formulas?.
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis.
Point P moves counterclockwise around the circle, starting from the positive x-axis. Its angle is 90° when it reaches the positive y-axis (one-fourth of the way around the circle).
Its angle is 180° when it reaches the negative x-axis (and is now halfway around the circle). A combined force that is smaller than either individual force is created when two forces engage in opposition to one another. Subtract the magnitude of the smaller force from the magnitude of the bigger force to determine the resultant force. The smaller force and the resultant force both have the same direction. The x-axis and the y-axis are perpendicular axes in this case. We have the angle that the vector makes with the x-axis.
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A truck i traveling outh at a peed of 70 km/h toward an interection. A car i traveling eat toward the interection at a peed of 80 km/h. What i the velocity of the car relative to the truck?
The velocity of the car relative to the truck is 106 km/h.
The concept of reference frames was first introduced to discuss relative motion in one or more dimensions. When we say an object has a certain velocity, then this velocity is with respect to some frame that is known as the reference frame. In everyday life, when we measure the velocity of an object, the reference frame is taken to be the ground or the earth.The velocity of the car with respect to Earth is [tex]V_{CE}[/tex] = 80 km/h
The velocity of the truck with respect to Earth is [tex]V_{TE}[/tex] = −70 km/h
Using the velocity addition rule, the relative motion equation we are seeking is:
[tex]V_{CT} = V_{CE}+ V_{TE}[/tex]
Here, [tex]V_{CT}[/tex] is the velocity of the car with respect to the truck, and Earth is the connecting reference frame.
Since we have the velocity of the truck with respect to Earth, the negative of this vector is the velocity of Earth with respect to the truck:
[tex]V_{ET} = -V_{TE}[/tex]
The vector diagram of this equation is shown in figure.
We can now solve for the velocity of the car with respect to the truck:
[tex]V_{CT} = \sqrt{80^{2} + 70^{2} } = 106 km/h[/tex]
So the velocity of the car relative to the truck is 106 km/h.
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What is the magnitude of vector A 3i?.
The magnitude for the vector 3i is 3.
Magnitude is a "distance or else quantity," according to the definition given in physics. It shows how an object moves when it is in motion, whether that movement is absolute, relative, or of a certain size. It serves as a way to describe something's size or scope. Magnitude is a broad term used in physics to describe size or distance.
A force's strength is quantified by a number called its magnitude. Take a force of 10 N, for instance, in the direction of the east. The phrase "towards east" denotes a direction, and "10" represents the force's magnitude. In other words, magnitude can be thought of as the "value" or "amount" of any physical quantity.
Magnitude of a vector 3i is:
M = [tex]\sqrt{9} \\[/tex]
M =3
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How to calculate weight from mass and gravitational field strength?.
Particles q1 = -66.3 UC, q2 = +108 uC, and 93 = -43.2 uC are in a line. Particles q1 and q2 are separated by 0.550 m and particles q2 and q3 are separated by 0.550 m. What is the net force on particle q2?
The sum total of all forces which are acting on an object is known as the net force. A mass can accelerate due to the net force.
What is net force?The net force can be defined as the sum total of all the forces which are acting on an object. Net force can accelerate a mass. Some other force also act on an object either at rest or motion.
Here, r₁₂ = 0.550m r₂₃ = 0.550m. Then the distance from the first charge to the third one will be:
r₁₃ = r₁₂ + r₂₃ = 0.550 + 0.550 = 1.1m
According to the Coulomb's law, the net force on particle q₂ will be equal to the sum of the forces on particle q₂ from the particle q₁ and q₃.
F₃+ = F₁₃ +F₂₃ = q₁q₂/r²₁₃ + k q₃q₂/r²₂₃
Where, k = 9 × 10⁹ N m²/C²
Substituting numerical values, we obtain:
F₃ = 9 × 10⁹ (-66.3 × 10⁻⁶)(-43.2 × 9 × 10⁻⁶)/ 1.45² + 9 × 10⁹ × 108 × 10⁻⁶ (-43.2 × 10⁻⁶) / 0.550²
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How is paddling a canoe doing work? How does the shape of the canoe make paddling easier?
canoeing is a popular paddle sport with a long history bottom can go faster and is easier to paddle because its shape reduces friction.
What shape is a canoe?Flat. The most common shape found in basic, recreational canoes. Canoes with a flat hull shape have great primary stability (they're difficult to tip when upright and on calm water), but when they're put on edge, that stability decreases.
What Newton's law is paddling a canoe?Newton's Second Law of Motion explains one set of factors that affect how fast your boat will move through the water. The lighter your boat and the stronger your paddler, the faster your boat will go. opposite reaction. In your boat, your paddler will push his/her paddle into the water.
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canoeing is a popular paddle sport with a long history bottom can go faster and is easier to paddle because its shape reduces friction.
What shape is a canoe?Flat. The most common shape found in basic, recreational canoes. Canoes with a flat hull shape have great primary stability (they're difficult to tip when upright and on calm water), but when they're put on edge, that stability decreases.
What Newton's law is paddling a canoe?Newton's Second Law of Motion explains one set of factors that affect how fast your boat will move through the water. The lighter your boat and the stronger your paddler, the faster your boat will go. opposite reaction. In your boat, your paddler will push his/her paddle into the water.
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Why is latency more important than speed?.
Latency is the less delay during the journey of an object that's why it is more important than the speed.
If one have to cover a distance of 300 km, then he/she will chose a car of maximum speed 100 kmph, over the car of speed 50 kmph. Because car with more speed will make him/her able to reach the destination in 3 hours whereas the car with slower speed will take 6 hours. But if consider the factor of latency, that is the less delay in the path, than slower car can beats the faster car if it experiences the less delay or latency. There are various reason of delay, like traffic, congestion of the way bad condition of road, operational time of car, etc. If faster car go with a ling, and congested route with traffic whereas slower car go with the smooth route, then slower car can and does beat the faster car. That's why latency is more important than speed.
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The series is shown in over 100 countries. About 300 million people watch it every day. This makes The Bold and the Beautiful the most watched television series in the world. The first episode was shown on March 23, 1987 on the CBS network. The series was created by the soap opera writer William J. Bell and his wife, Lee Phillip Bell. It is the only American soap opera to have its daily episodes translated into Spanish for the Hispanic viewers in the United States. The series is set in Los Angeles, California. It tells the story of the Forrester family, who owns a fashion empire called Forrester Creations. The major members of the family are Eric Forrester (played by John McCook), the president of Forrester Creations, his wife Stephanie (Susan Flannery), their eldest son Ridge (Ronn Moss) and Brooke Logan (Katherine Kelly Lang), who was married to both the father and the son. She owns most of Forrester Creations. This is because she created BeLieF, a formula which earned much money for the company. There used to be a second fashion company called Spectra Fashions. It was Forrester’s main competitor. The conflicts between the Forrester and the Spectra families was one of the major themes of the story.
More than a 100 nations broadcasted series. The Bold and the Beautiful teasers for the upcoming CBS soap opera hint at more conflict.
What does the earth's horizon look like?The line dividing the Earth's surface from the sky is known as the horizon. Earth-sky horizons and celestial horizons are the two basic categories of horizons. There are various sub-types of horizons for both Earth-sky and celestial horizons. Earth-sky horizons include the local horizon, regional horizon, and sea level horizon.
What is the horizon that is lit?The particle horizon, also known as the cosmological horizon, comoving horizon, or cosmic light horizon, is the furthest a particle's light may have travelled before reaching an observer during the early universe's history.
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Three force are acting on the ring a hown in the figure. What i the magnitude and direction of the net force acting on the ring?
Three forces work in the ring as shown. then the resultant total force = 120 N with the direction of force = 82° from the X axis (in quadrant 1, near F3)
To determine the magnitude and direction of the resultant force from the three forces acting on an object in a two-dimensional plane as shown in the figure, first determine the magnitude of the three forces concerning the X and Y axes.
F1 = 128 N, F2 = 128 N, F3 = 64 N
x component
F1x = -128 cos (90) = -128 (0) = 0
F2x = 128 cos (60) = 128 (1/2) = 64
F3x = 64 cos (30) = 64 (1/2√3) = 55.4
Fx = F1x+ F2x+F3x = 0 + 64 + 55.4 = 119.4
y component
F1y = -128 sin (90) = -128 (1) = -128
F2y =128 sin (60) = 128 (1/2√3) = 110
F3y = 64 sin (30) = 64 (1/2) = 32
Fy = F1y + F2y + F3y = -128 + 110 + 32 + = 15
Force Results
Resultant = [tex]\sqrt{Fx^2 +Fy^2}[/tex]
Resultant = [tex]\sqrt{119.4^2+15^2}[/tex]
Resultant = [tex]\sqrt{14261 + 225}[/tex]
Resultant = [tex]\sqrt{ 14486}[/tex]
Resultant = 120 N
Force Direction:
θ = tan⁻¹ (Fx/Fy)
θ = tan⁻¹ (119,4/15)
θ = tan⁻¹ (7,96)
θ = 82°
So, the resultant total force is 120 N with the direction of force is 82° from the X axis (in quadrant 1, close to F3)
Your question may be incomplete, for complete questions, it's in the picture.
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What are some of the barriers to minority groups participating in the field of psychology in the 19th and early 20th centuries
Some of the barriers to minority groups participating in psychology in the past were C. A, B, C, and D.
What prevented minorities from getting in psychology ?When psychology was a relatively new field in the 19th and 20th century, minorities were not allowed much to practice it for a mix of reasons. Some of these reasons were intentional, others were as a result of the intentional reasons.
An intentional reason was the limiting of colleges to only White males attending and also the segregation of schools which limited minority education. Some people did not just want to hire minorities in psychology and many believed minorities were not as intelligent as White men.
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A 1355 kg roller coaster car starts rolling up a slope at a speed of 18 m/s
The maximum height reached by the roller coaster is 16.53 m.
What is maximum height reached by the roller coaster?
The maximum height reached by the roller coaster is calculated by applying the principle of conservation of energy.
potential energy of the roller coaster at maximum height = kinetic energy at the lowest point
P.E = K.E
mgh = ¹/₂mv²
h = ( v² ) / ( 2g )
where;
v is the speed of the roller coaster at the lowest pointg is acceleration due to gravityh = ( 18² ) / ( 2 x 9.8 )
h = 16.53 m
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a pulse has a speed of 0,5m,s .how long does it take to cover a distance of 25cm?
To calculate how long it takes for a pulse to cover a distance of 25cm, we can use the formula:
time = distance / speed
In this case, the distance is 25cm and the speed is 0.5m/s, so we can plug in these values:
time = 25cm / (0.5m/s)
To convert cm to m we divide the distance by 100.
time = 25 / 100 m / 0.5m/s
time = 0.25s
So it takes 0.25 seconds for the pulse to cover a distance of 25cm, when the speed of the pulse is 0.5m/s.
What is the best energy source for the environment?.
Wind power is the best energy source for the environment.
What are advantages of wind energy?One of the greenest and most sustainable ways to produce electricity is by using wind power because it emits no greenhouse gases or hazardous pollution. In addition to being abundant, limitless, and inexpensive, wind energy can replace fossil fuels on a large scale. One of the easiest to get renewable energy sources today is solar energy.
It harnesses the power of the sun and transforms it into electricity. Solar energy is being used by many companies and even homes, not just to lessen their environmental impact but also to drastically lower their power costs. Nuclear fission is the technique used to create nuclear energy. This is another another popular and effective energy source.
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What is the SI unit of length 6 Mcq?.
A meter is the metric system's standard unit of length (m). One meter (m) is divided into 100 equal centimeters (cm).
What is SI unit?The International System of Units, abbreviated SI in all languages and sometimes pleonastically as the SI system, is the modern version of the metric system and the world's most widely used measurement system. The SI is a coherent system of measurement that begins with seven base units: the second (symbol s, the unit of time), the metre (m, length), the kilogram (kg, mass), the ampere (A, electric current), the kelvin (K, thermodynamic temperature), the mole (mol, amount of substance), and the candela (cd, luminous intensity). These are widely accepted and followed around the world. The SI unit for mass is kilogram, the SI unit for length is meter, and the SI unit for time is second.
Here,
A meter is the standard unit of length in the metric system (m). One meter (m) is equal to 100 centimeters (cm).
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PLEASE HELP RN
A ball is thrown horizontally at 7.7 m/s from the top of a hill 59.6 m high. How far from the
base of the cliff does the ball hit the ground?
The horizontal distance dx is calculated using the formula dx = vx * t, where vx is the ball's speed in meters per second and t is the duration of its flight.
How do you calculate the horizontal ball throw's speed?The horizontal velocity is calculated by dividing the horizontal displacement by time. In this case, Vx is equal to 4 meters per second.
How do I figure out the range?To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum).
t_flight = t_fall
h = 0.5 * g * t^2
59.6m = 0.5 * 9.8 m/s^2 * t^2
t^2 = 59.6 m / 4.9 m/s^2
t^2 = 12.1632
t = 3.48s
Solving for the horizontal distance dx
dx = vx * t
dx = 7.7m/s * 3.48s
dx = 26.7m
The ball hit the ground at 26.7m from the base of the cliff.
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What is the angle between the vectors 3j K and i 2j +- 4k?.
The angle between the vectors A and B is arccos(0.65) is equal to 44.26 degrees.
To find the angle between two vectors, you can use the dot product formula:
cos(theta) = (A . B) / (||A|| * ||B||)
Where A and B are the two vectors, (A . B) is the dot product of the vectors, and ||A|| and ||B|| are the magnitudes of the vectors.
In this case, the vectors are A = 3j k and B = i + 2j - 4k
(A . B) = (3j k) . (i + 2j - 4k) = 31 + 0 + 0(-4) = 3
||A|| = sqrt(0^2 + 3^2 + 1^2) = sqrt(9) = 3
||B|| = sqrt(1^2 + 2^2 + (-4)^2) = sqrt(1+4+16) = sqrt(21) = 4.58
Finally, we can use the dot product formula to find the angle:
cos(theta) = (A . B) / (||A|| * ||B||) = 3 / (3*4.58) = 0.65
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What energy depends on mass and speed?.
The energy that depends on the mass and speed attained is called kinetic energy. Kinetic energy is calculated by using the equation KE = [tex]\frac{1}{2} mv^{2}[/tex].
Kinetic energy is the energy of an object which is moving. For moving an object which is in rest or in uniform motion, we must apply a force. The work done to apply the force is transferred as energy and the object begins to move or attain a different velocity. This energy is called kinetic energy.
Kinetic energy can be transferred between objects. For example collision between the billiard balls. Kinetic energy relates to mass and velocity of the object. If mass is doubled, kinetic energy doubles, When the velocity is doubled, the kinetic energy becomes four times, as KE∝ v².
So energy that depends on mass and velocity is kinetic energy.
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How to complete fig 6.1
Virtual images are formed by placing an object between focus and pole of the lens.
Can concave, convex, and flat mirrors create virtual images?Virtual images can be produced using mirrors with concave, convex, and plane surfaces. You cannot perceive virtual images when looking in a mirror since they are not physically present. Virtual images are generated when the light rays being reflected diverge.
It is possible to project virtual visuals onto a piece of paper. Convex and flat mirrors can also be used to create real images. If the object is virtual, meaning light rays converge at a point behind a flat mirror (or a convex mirror) and reflect to a point on a screen positioned in front of the mirror, a true image will be produced.
The image a convex lens creates depends on how far an object is from it and whether it is real or virtual.
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What is the MCQ answer?.
The distance or length between two successive crests or troughs of a wave is known as its wavelength.
What does wavelength mean?
The wavelength of a wave provides details about its length. The distance between the "crest" (top) of one wave and the crest of the next wave is known as the wavelength. The wavelength may also be calculated by taking a measurement from the bottom of one wave to the bottom of the next, with the same outcomes.
What makes it a wavelength, and why?
Electromagnetic radiation, such as radio waves, light waves, and infrared (heat) waves, moves across space in certain patterns. Every wave has a unique form and size. The "wavelength" is the separation between peaks.
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Note: The correct question would be as bellow,
What is called a wavelength MCQ with answers?
What is law social science?.
Law is a productive form of social science. It is serving as an indicator for the social change. Law also changes along with changes in society.
Society and law are closely related. Law is a natural guide for social life, and this is increasing with economic, scientific, and technological progress. Law is a form of social science. Society and law are closely related. Popular social science majors include psychology, political science, and economics. Law is concerned with the control and regulation of human behavior and the promulgation of rules that direct behavior in socially beneficial ways and it can be said that the role played by law in the realization of social science is extremely important.
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How do you solve torque problems?.
rFsin() is the term of torque. In other ways, twist is the sum of the (the distance between the pivot and the tip at which force is applied) or the force vector, where 'a' is the angle of r and F.al lever arms).
What is the torque solution formula?Result for an image How are torque issues solved?
The formula for torque is rF=rFsin(r). Torque is, in other words, the cross product of the shortest path (the length between the pivot point and the point at which load is exerted) and the pressure vector, where 'a' is the angle of r and F.
How are problems involving net torque solved?Approach to Solving the Issue: Identifying Net Torque
To establish whether the torque is positively or negatively about pivot point or axis, take the xor operation of r and F. Utilizing rF, calculate the torque's magnitude. Identify the proper.
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Does mass depend on the number of atoms?.
Mass of an object depends on the number of atoms on an object.
The mass of an object is directly proportional to the number of atoms it contains, and the mass of each atom is determined by its atomic number, which is the number of protons in its nucleus.
The total mass of an object is the sum of the masses of all its atoms. For example, a piece of copper with twice the number of atoms as another piece of copper, will have double the mass. This is also true for molecules, the mass of a molecule is the sum of the mass of its individual atoms.
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