Two negative charges of 42 nC are separated by 46 cm. What is the magnitude of the force acting on each object?

Torque is one of the key ideas to comprehend in order to solve problems with rotational motion. Torque is the tendency of a force to produce or change rotational motion.

Torque is a measure of an engine's capacity to control a load and generate a certain level of power to turn the engine on its axis. which is an important part of an automobile engine's power-generating process. Per foot (ft) of rotation about a single point, the force is expressed in pounds (lb).

The force that can cause an object to revolve around an axis is measured in torque. In linear kinematics, force causes an item to accelerate, and torque causes an object to produces the angular acceleration of an object. A vector quantity is a torque.

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90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.

In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.

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Answer:

distance is a scalar quantity, it only has a magnitude, not direction

displacement is a vector quantity, it has both magnitude and direction

for example, 20m North -------> is a vector quantity, it shows direction

20m -----------> is a scalar quantity, it has not direction

Explanation:

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Answer: Change

Explanation:

Answer:

0.495m

Explanation:

The kinetic energy of the stone will be equal to the work done by the spring

Mathematically;

W = KE

1/2ke² = 1/2mv²

ke² = mv²

k is the spring constant = 150N/m

e is the extension

m is the mass = 0.015kg

v is the velocity = 70m/s

Substitute

150e² = 1/2 * 0.015 * 70²

150e² = 36.75

e² = 36.75/150

e² =  0.245

e = √0.245

e = 0.495m

Hence the extension of the catapult is 0.495m

Answer:

the required tension is 4.57 N.

Explanation:

Given;

first velocity of the wave, v₁ = 24 m/s

first tension on the string, T₁ = 5.34 N

second velocity of the wave, v₂ = 22.2 m/s

second tension of the string, T₂ = ?

[tex]v = \sqrt{\frac{T}{\mu} }[/tex]

where;

μ is mass per unit length

[tex]v^2 =\frac{T}{\mu} \\\\\mu = \frac{T}{v^2} = \frac{T_1}{v_1^2} = \frac{T_2}{v_2^2} \\\\T_2 =\frac{T_1v_2^2}{v_1^2} \\\\T_2 = \frac{5.34 \times 22.2^2}{24^2} \\\\T_2 = 4.57 \ N[/tex]

Therefore, the required tension is 4.57 N.

Answer:

A light-year is a unit of distance. It is the distance that light can travel in one year. Light moves at a velocity of about 300,000 kilometers (km) each second. So in one year, it can travel about 10 trillion km. More p recisely, one light-year is equal to 9,500,000,000,000 kilometers

Answer:

.....

Explanation:

Answer:

Motion is used to describe physical properties, while movement is used to describe the qualities of motion.

Answer:Yes, water indeed expands when it changes form from liquid to solid. And this is because water has a property called “hydrogen bonds”, and these bonds occur between each water molecule. But when water is in a liquid form these hydrogen bonds break more easily and occur less frequently. When the temperature drops the kinetic energy also drops, which in turn makes hydrogen bonds form more frequently. So the water molecules form a lattice, which is less dense than regular liquid water.

Explanation:

Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.

A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.

Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.

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The balloon's helium has a mass of 2.52 KG.

The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.

The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density.

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Answer:

B. they must be intrinsically far more luminous than the brightest galaxies.

Explanation:

Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.

Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."

This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.

Answer:

C

Explanation:

edge2020

Answer:

Emissions from power plants that burn fossil fuels increase atmospheric carbon dioxide, which is absorbed by the ocean.

Explanation:

Fossil fuels are burnt in power plants in order to produce energy. These fossil fuels contain carbon. Combustion of these fossil fuels emits oxides of carbon into the atmosphere. The oxides of carbon are carbon II oxide and carbon dioxide.

Carbon dioxide can be absorbed by the ocean to form carbonic acid according to the reaction equation;

CO2(aq) + H2O(l) ------> H2CO3(aq)

This is an anthropogenic activity which increases ocean acidification.

Answer:

Roughly around 117.6 mph

Explanation

To find out something's speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: velocity = -9.81 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards.

Answer:

The volume of a given gas sample is directly proportional to it's absolute temperature at constant pressure. The volume of a given amount of gas is inversely proportional to its pressure when the temperature is held constant.

Explanation:

When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.

Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.

Given  that the foece on the satellite due to earth gravity is F

(At a distance R from center of Earth)

Initial separation between the satallite and Earth is R

Final separation between the satallite and Earth is 3R

The force on the satallite due to earth is

F= [tex]\frac{GMm}{r^{2} }[/tex]

Here M is mass of earth and m is mass of satellite

if the distance between satellite and earth changed to 3R

the force on the satellite due to earth is

F'=[tex]\frac{GMm}{3R^{2} }[/tex]

F'=[tex]\frac{GMm}{9R^{2} }[/tex]

F'=F/9

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Answer:

Answer:

im confused what do you need us to answer

Explanation:

The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix.

A nonsense mutation occurs in the DNA when a sequence changes itself and gives rise to a stop codon rather than a codon specifying an amino acid. The presence of the new stop codon results in the production of a shortened protein that is non-functional.

A nonsense mutation is also known as base substitution which results in a stop codon in such a position from where there was not one before, which causes the premature termination of protein synthesis and, more than likely, a complete loss of function in the finished protein.

So we can conclude that a nonsense mutation always causes a loss of amino acids.

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This minimum value is 223.9 m.

​

The attribute of motion of an item travelling a circular path is characterised as centripetal acceleration. Centripetal acceleration is defined as any item travelling in a circle with an acceleration vector pointing towards the centre of that circle.

The acceleration felt when moving in a uniform circular motion is known as centripetal acceleration. It always points toward the rotational centre. It is parallel to the linear velocity. The centripetal force is measured in an inertial frame of reference, whereas the centrifugal force is measured in a non-inertial frame of reference. Centripetal force is directed towards the axis of rotation or the centre of curvature, whereas centrifugal force is directed away from the circle's centre.

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The force between the charges are [tex]3844*10^{3} N[/tex]

                                              [tex]F = kQq/r^{2}[/tex]

Given, Q = q = 6.2 mC = [tex]6.2 * 10^{-3}[/tex]

           r = distance = 0.3m

           k = constant = [tex]9*10^{9}[/tex]

Putting these values in above equation we get F = [tex]3844*10^{3} N[/tex]

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The displacement in SHM is 2/3 of amplitude and the fraction of total kinetic energy is Ek = 5/9.

Let’s derive the equations needed from the first principle. The displacement for SHM with amplitude A and angular speed is:

s = A sin(ωt) ---- (1)

Differentiate the displacement to get the velocity:

v = s′ = A ωcos(ωt)

So for a mass m, the kinetic energy is:

Ek = 1/2 mv²

Ek =  1/2 m × (Aωcos(ωt) )² ---- (2)

At time t = 0 the displacement s = 0 and so all the energy is kinetic. Therefore the total energy is:

E (total) = 1/2m ×( Aωcos(0) )²

E (total) = 1/2m × (Aω)² ---- (3)

We can rephrase the kinetic energy in terms of the total energy by comparing (2) and (3):

Ek = E (total) cos²(ωt)

Using the identity  cos² (x) + sin² (x) = 1,  we can rewrite this equation as:

Ek = E total (1 − sin²) (ωt)) ---- (4)

Additionally, we are aware that potential energy U = E(total) Ek, so

U = E (total) − E (total) (1 − sin²(ωt) )

U = E (total) sin²(ωt)  ---- (5)

Now in this question, we’re given that  s = 2/3 A, so from our displacement formula  (1)  we have:

s = Asin (ωt) = 2/3 A

This is what we get for the kinetic energy when we insert it into equation (4):

Ek = E (total)(1 − (2/3)²)

Ek = 5/9 (E (total) )

Hence, the displacement in SHM is 2/3 of the amplitude, and the fraction of total kinetic energy is Ek = 5/9.

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The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.

Efficiency = (0.50) * (0.25) = 0.125 or 12.5%

So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.

How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.

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