Any line, segment, or ray that passes through the midpoint of a segment and is perpendicular to that segment is a()_

The time taken by the rocket to move with the velocity of 45 cm/s is 675 seconds.

The force applied by the rocket = 50 N

The mass of the spacecraft = 75,000 kg

The velocity of the rocket = 45 x 10⁻² m/s

The time taken by the rocket can be found using the formula,

               F = mv/t

where F is the force applied

           m is the mass of the spacecraft

           v is  the velocity of the rocket

           t is the time taken by the rocket

Let us rearrange the above equation, we get

               t = mv/F

Let us substitute the known values in the above equation, we get

              t = 75,000 x 45 x 10⁻² / 50

                = 33750 / 50

                = 675 seconds

Therefore, the time taken by the rocket is 675 seconds

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Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.

As an illustration, the centripetal force of the sun's gravitational field maintains the Earth rotating around it. The centrifugal force, meanwhile, is an apparent outward force acting on a rotating object.

The sensation you get while riding a merry-go-round that makes you want to fly outwards is an illustration of centrifugal force.

Centrifugal force is felt by passengers when they turn a corner in an automobile or when an aircraft banks into a turn. When kids ride on a merry-go-round or during a washing machine spin cycle, it happens.

Therefore, Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.

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The component of displacement in the x-direction is -20.8272 m. displacement in x direction = -20.8272 m

initial walk = 10.5 m

Toward 20 degree west of north, then 22.5 m toward 40 degree south of west;

Total distance in x direction = -20.8272 m;

Sum of x components = -10.5 * sin(20) + (-22.5 * cos(40));

The x-axis component of the displacement vector from P1 to P2 is (x2 - x1), and the y-axis component is (y2 - y1). It is possible to write d = (x2 - x1)i + (y2 - y1)j to represent the displacement vector d from P1 to P2. (x2 - x1) units in the x-direction plus (y2 - y1) units in the y-direction make up the displacement d. The x-component and y-component are typically thought of as the components of a vector in a two-dimensional coordinate system. V = (vx, vy), where V is the vector, can be used to express it. They are the components of the vectors produced along the axes.

Question

Suppose you first walk 10.5 m in a direction 20 degree west of north and then 22.5 m in a direction 40 degree south Of west.

what is the component of your displacement in the x-direction, in meters?

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The centripetal force on the electron in the first orbit of the hydrogen atom would be 81.75 x 10⁻⁹.

The main points of Bohr's model of atom are -

Given is that an electron (e⁻) (m = 9.1 x 10⁻³¹ kg) moving at 2.18 x 10⁶ m/s (in a Bohr orbit in the H atom).

The radius of first Bohr orbit of hydrogen atom is -

{r} = 0.529 A˚ = 0.529 x 10⁻¹⁰ m.

The centripetal force on the electron in the first orbit of the hydrogen atom would be -

F = mv²/r

F = (9.1 x 10⁻³¹)(2.18 x 10⁶)²/0.529 x 10⁻¹⁰

F = 81.75 x 10 ⁻³¹ ⁺ ¹² ⁺ ¹⁰

F = 81.75 x 10⁻⁹

Therefore, the centripetal force on the electron in the first orbit of the hydrogen atom would be 81.75 x 10⁻⁹.

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Answer:its 1.9 10^26

Explanation:

Accretion is the process when new planets formed in a cloud of dust and debris surrounding our young sun.

The solar nebula is a whirling disk generated by the remaining portion of the cloud. Scientists think that dust and ice particles buried in the gas migrated inside the solar nebula, occasionally clashing and clumping together.

These tiny particles created larger things through a process known as "accretion," which eventually led to the formation of planetesimals with sizes up to a few kilometers across.

Planetesimals in the hotter, inner region of the solar nebula were primarily made of silicates and metals. Water ice predominated in the outer, colder region of the nebula.

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What is the process when new planets are formed in a cloud of dust and debris surrounding our young sun known as ?

The rod's center of mass is measured from the left end of the rod is X=(2/3)l.

As we know that the linear density of a rod is as λ(x)= dM/dx.

So, dM = λ(x)dx

Integrate the above equation with the interval [0, l], and we get:

[tex]M=\int\limits^l_0 {\lambda(x)} \, dx \\M=\int\limits^l_0 {A(x)} \, dx \\M = A(\dfrac{x^2}{2} )\limits^l_0[/tex]

M = Al²/2   .....(1)

The rod's center of mass is measured from the left end of the rod expressed as follows:

[tex]X=\frac{1}{M} \int\limits^l_0 {x \lambda(x)} \, dx\\X = \frac{1}{M} \int\limits^l_0 {x (Ax)} \, dx\\X=\frac{1}{M}A(\frac{x^3}{3} )_0^l[/tex]

X = (1/M)Al³/3

Substitute the value of M = Al²/2 in the above equation,

X = [1/(Al²/2)]Al³/3

X = (2/3)l

Therefore, the rod's center of mass is measured from the left end of the rod is X=(2/3)l.

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The final velocity, when initial velocity, acceleration are given, is calculated to be -3 m/s. Minus sign represents opposite direction.

From the equations of motion, we should select a correct equation which relates initial velocity, final velocity, acceleration and time.

It is said that the object starts at the origin.

The initial velocity of the object is given as 3 m/s

The acceleration of the object is given as -2 m/s²

The final velocity after 3 sec is to be calculated.

So, the suitable equation of motion is, v = u + a t

where, v is final velocity

u is initial velocity

a is acceleration

t is time

Let us put in the values into the above equation.

v = u + a t

v = 3 + (-2) (3) = 3 - 6 = -3 m/s

3 m/s in the opposite direction from that of the initial velocity.

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The time required to complete one vibration in the density of the medium is referred to as the sound wave's time period.

It is denoted by the letter T. Its SI unit comes in second (s).

Given: [tex]C = 1522m/s[/tex]

λ = [tex]4.2*10^{-2} m[/tex]

Frequency of soundwave can be determine by

f = c/λ

[tex]f = \frac{1522}{4.2*10^{-2} }[/tex]

f = 3.623

Period of sound wave is given by:

[tex]T = \frac{1}{T}[/tex]

[tex]T = \frac{1}{3.623}[/tex]

[tex]T = 0.27601[/tex]

Therefore, the period of sound wave is 0.27601 s.

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An appropriate sample space Ω for this experiment is the set of all possible outcomes of the 4 tests. The event A⊂Ω corresponding to there being at least 3 rejected circuits in a row.

a) An appropriate sample space Ω for this experiment is the set of all possible outcomes of the 4 tests, where each outcome is a sequence of A's and R's. For example, if Ω = {AAAA, AAAR, AARA, ..., RRRR}, then each element in Ω represents a unique possible outcome of the 4 tests.

b) The event A⊂Ω corresponding to there being at least 3 rejected circuits in a row can be described as the set of all outcomes in Ω that have three or more consecutive R's. For example, if A = {RRRR, RRRR, RRRR, ...}, then A contains all the outcomes in Ω that have three or more consecutive R's.

In this experiment, the manufacturer is testing 4 integrated circuits and wants to determine if they meet quality objectives. The outcome of each test can either be "Accepted" (A) or "Rejected" (R). To describe the possible outcomes, we can create a sample space, Ω, which is a set of all possible outcomes of the 4 tests. Each element in Ω is a sequence of A's and R's, representing a unique possible outcome of the 4 tests. For example, Ω = {AAAA, AAAR, AARA, ..., RRRR}.

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Answer: On this scale,Alpha centauri would be 1.48×10∧6

metres or about 890 miles away.

Explanation: If the sun were scaled to a 1 foot radius  , then alpha centauri would be about 10,000 miles away.

The wavelength of sound waves of frequency 23 kHz that travel through the fluid is 0.064 metres.

V =  1480 m/s

f =   23 kHz

We know the relation

V =  f λ

V= velocity in a particular medium

f =  frequency

λ  =   wavelength of sound wave

λ=   [tex]\frac{1480}{23000}[/tex]

λ  =  0.064 metre

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The distance to each object using a baseline of 1000km is a)10313250 km b)31416000 km c)10313250000 km.

Parallax shift is the apparent shift of an object's position due to a change in the observer's point of view. In astronomical terms, it's used to measure the distance to nearby stars. The formula to calculate the distance (d) of an object using its parallax (p) and the baseline (b) is:

d = (1 / p) * (b / 2)

where p is expressed in radians. To convert from degrees (°), minutes (') or seconds (") to radians, we use the following conversions:

1° = (π / 180) rad

1' = (1° / 60) = (π / 10800) rad

1" = (1' / 60) = (π / 648000) rad

So for (a), 1° parallax:

d = (1 / (π / 180)) * (1000 / 2) km = (180 / π) * (1000 / 2) km = (180 / π) * 500 km = 206265 * 500 km = 10313250 km

For (b), 1' parallax:

d = (1 / (π / 10800)) * (1000 / 2) km = (10800 / π) * (1000 / 2) km = (10800 / π) * 500 km = 62832 * 500 km = 31416000 km

For (c), 1" parallax:

d = (1 / (π / 648000)) * (1000 / 2) km = (648000 / π) * (1000 / 2) km = (648000 / π) * 500 km = 206265000 * 500 km = 10313250000 km

So in each case, the distances are approximately 10313250 km for 1° of parallax, 31416000 km for 1' of parallax, and 10313250000 km for 1" of parallax, as measured from a 1000-km baseline.

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The complete question is:

At what distance is an object if its parallax, as measured from either end of a 1000-km baseline, is (a) 1°; (b) 1'; (c) 1"?

The designated length of a ladder refers to the maximum length that a ladder can safely be used for. This length is determined by the manufacturer and is based on various factors.

Designated Length depends on factors like:

The designated length is typically marked on the ladder itself and is usually the distance from the ground to the highest rung that can be safely reached. It is important to note that the designated length does not refer to the overall length of the ladder, but rather the distance it can be safely extended.

Exceeding the designated length of a ladder can be extremely dangerous and can result in the ladder collapsing or becoming unstable. This can lead to serious injury or even death. It is therefore essential to always use a ladder within its designated length, and to follow all safety instructions provided by the manufacturer.

In addition to following the designated length, it is also important to use a ladder on a stable surface and to ensure that it is properly secured. This will help to prevent accidents and ensure that the ladder is used safely and effectively.

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Explanation:

The gravitational force between two masses, m1 and m2, separated by a distance, r, can be calculated using the formula:

F = G * (m1 * m2) / r^2

where

F is the gravitational force,

G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2),

m1 is the mass of the first object,

m2 is the mass of the second object,

r is the distance between the centers of the two objects.

Plugging in the values:

F = G * (7.34 x 10^22 kg * 5.97 x 10^24 kg) / (3.88 x 10^8 m)^2

= (6.67 x 10^-11 Nm^2/kg^2) * (4.36 x 10^47 kg^2) / (15.0244 x 10^16 m^2)

= 2.80 x 10^22 N

So, the moon produces a gravitational force of 2.80 x 10^22 N on the Earth when their centers are 3.88 x 10^8 meters apart.

There are 10^9 (1 billion) nanometers in a meter. The nanometer, which is one billionth of a metre, is a unit of length measurement in the metric system.

How does nanometer relates with meter?

The nanometer is a unit of measurement of length in the metric system, equal to one billionth of a meter. It was officially introduced as a unit of measurement in the SI (International System of Units) in 1960.

It is commonly used in various fields such as physics, chemistry, and engineering to describe very small lengths. For example, the diameter of a human hair is about 100,000 nanometers, and the wavelength of visible light ranges from 400 to 700 nanometers.

In comparison, one meter is equivalent to 100 centimeters, and a centimeter is equal to 10 millimeters. The nanometer provides a convenient and precise way to express extremely small distances.

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A. magnitude of the net displacement is 10.4 mm.

B. The magnitude of the net displacement would have been 11.7 mm.

A. The magnitude of the resulting vector, which is created by summing the vectors D1, D2, and D3, provides the size of the net displacement, in mm. The Pythagorean Theorem may be used to calculate the following:

[tex]|D1+D2+D3| = \sqrt((3.8)^2 + (-3.4)^2 + (-2.2)^2 + (2.9)^2 + (-7.7)^2 + (2.8)^2 + (-7.7)^2 + (2.8)^2 + (2.9)^2) \\\\ =10.4 mm[/tex]

Therefore,the magnitude of the net displacement is 10.4 mm.

B.The magnitude of the net displacement would be determined by the magnitude of the total of the vectors, which would be equal to the sum of the magnitudes of the individual vectors, if all three displacements (with the same magnitudes as D1, D2, and D3) were in the same direction.

if the three displacements were in the same direction. This can be calculated as follows:

[tex]|3D1| = 3\sqrt((3.8)^2 + (-3.4)^2 + (-2.2)^2) \\ \\ = 11.7 mm[/tex]

Therefore, the magnitude of the net displacement would have been 11.7 mm.

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The internal energy of the meteor is 25000 kJ.

We to note that from the law of the conservation of energy that energy can not be created nor destroyed but that energy can be converted from one form to the other and that is the basis of the discussion that we are going to have in this problem.

We know that the internal energy of the meteor was converted to the kinetic energy of the meteor so we can now write that;

E = 1/2 mv^2

E = 0.5 * 50 * (1000)^2

= 25000 kJ

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Missing parts;

A 50-kg meteorite moving at 1000 m/s strikes earth. Assume the velocity is along the line joining earth's center of mass and the meteor's center of mass.

Calculate the internal energy.

It is incorrect to say that matter contains heat because heat is a flow of energy not an state function.

Matter is anything that occupies space and have mass, having mass means that it contains energy in itself, this energy is called internal energy.

This internal energy is different from the heat energy, the heat energy is completely different from any of the form of energy.

The heat energy flows continuously, it cannot be contains in any matter, when there is more heat the temperature goes up and when there is low heat, the temperature goes down. It is not a function related to the state the matter. This is why it is incorrect to say that the heat is contained by matter.

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The way to find the magnitude and direction of the resultant force is to use the formula for the resultant force, such as:

1. The resultant unidirectional force: R = F1 + F2 + F3 + … +Fn

2. Opposite: R = F1 – F2

3. Perpendicular force: R = √F1^2 + F2^2

In the term of physics, The magnitude generally can be defined as the length of the vector while the direction tells us which way the vector points. Vector direction or also known as magnitude direction can be given in various forms, but is most commonly denoted in degrees. There are several examples of vector direction, such as Acceleration and velocity. Vectors generally can be defined as any unit that have both magnitude and direction.

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If high temperature gas enters compressor, than although the compressor's capacity declines with increasing superheat, its current consumption reduces because less vapour is drawn in during the suction stroke.

A compressor is a mechanical device that lowers a gas's volume while raising its pressure. An air compressor is one distinct case of gas compressor. Two very different pumps and compressors can convey a fluid through a pipe while increasing the fluid's pressure.

The molecules in a hot gas move more quickly than those in a cold gas; while the mass of the gas doesn't change, the kinetic energy does, which raises the temperature.

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The force of a golf club on a golf ball is 200 N forward, according to Newtons third law of motion, every action has an equal and opposite reaction. Thus, the force of the ball on the club will be the same as 200 N but will act in the opposite direction, i.e., backward.

However, one source stated that the force of a golf club on a golf ball is 22.5 N but it was later found to be incorrect due to an error in calculation

The force of the ball on the club will be 200 N backward as a result of the equal and opposite reaction according to Newton's third law of motion.

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The rate of heat loss by radiation from a person in a room with walls at 300 K is approximately 325 W.

The rate of heat loss by radiation from a person in a room with walls at a temperature of 300 K can be calculated using the equation for Stefan-Boltzmann law. This law states that the rate of heat loss by radiation from an object is proportional to the fourth power of its temperature and the surface area of the object.

The equation for heat loss by radiation is given by:

Q = σ * A * (T^4 - T_0^4)

where:

Q is the rate of heat loss (in W)

σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2 K^4)

A is the surface area of the person (in m^2)

T is the temperature of the person (in K)

T_0 is the temperature of the walls (300 K)

The surface area of an average person is about 1.7 m^2, and the average body temperature is about 310 K. Plugging these values into the equation, we can estimate the rate of heat loss by radiation:

Q = σ * A * (310^4 - 300^4)

Q = 5.67 x 10^-8 W/m^2 K^4 * 1.7 m^2 * (93,901,000 - 81,000,000)

Q = approximately 325 W

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Charge on third sphere is 5.1MC after making a contact with the other two metallic conducting spheres.

Specifically, in the event that a metal sphere is charged, since charge can stream unreservedly through a metal, the self-shock of charges will bring about all the charge living on the outer layer of the sphere, which then, at that point, acts as an empty circular accuse dispersion of zero electric field inside.

From the given data, Q1 and Q2 are brought into contact as they are both conductors,  as such there will be evenly distribution of charges.

Firstly,charge on each sphere(Q) = Q1 + Q2 / 2

                               = +7.8 MC + (- 1.4 MC) / 2

                              =>+7.8 MC +  (-0.7)MC = 7.1MC

Now, one of those two spheres is brought into contact with the third sphere ; Q is brought into contact with Q4 = Q + Q3 / 2

                                                                 = 7.1MC - 4 MC /2

                                                                  =7.1MC -2MC

                                                                  = 5.1 MC

Hence,5.1MC is the final charge on the third sphere.

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(Complete question) is:

Three identical metallic conducting spheres carry the following charges: Q1 = +7.8 MC, Q2 = −1.4 MC, and Q3 = −4,0 MC. The spheres that carry the charges Q1 and Q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge Q3. What is the final charge on the third sphere?

Air is less dense at very high elevations because the air pressure decreases with increasing height.

Elevations are the heights of land above sea level or a datum. They are typically measured in meters or feet. Elevations are used to measure the height of mountains, hills, and valleys, as well as the depth of the ocean. They are also used in many applications such as surveying, engineering, and mapping. Elevations are important for a variety of reasons, including determining the height of a building, calculating the amount of water in a river, and predicting the effects of climate change. Elevations are also used to determine the safety of a structure or area, as areas with higher elevations tend to have better protection from flooding and other natural disasters.

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Assuming that the car moves with a constant acceleration, the average acceleration over the 4 second period can be calculated as follows:

Average acceleration = (70 mph - 30 mph) / (4 s) = 15 mph / s

This means that the car accelerates from 30 mph to 70 mph in 4 seconds, with an average acceleration of 15 mph per second.

Furthermore, the acceleration can be used to calculate the velocity of the car at any given point in the 4 second period. The equation for this is:

Velocity = Initial Velocity + Acceleration * Time

Therefore, the velocity of the car at 1 second is 30 mph + 15 mph/s * 1s = 45 mph, and the velocity of the car at 2 seconds is 30 mph + 15 mph/s * 2s = 60 mph. This can be extended for the entire 4 second period.

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Placing a positive charge in the center of a screen will produce an electric field, which can be observed as lines of force that radiate away from the charge. Moving the charge around will cause the electric field to change direction and magnitude.

An electric field is a field of force that exists around a charged object and affects other charged objects within the field. The electric field can be visualized as lines of force that radiate away from the charge, and the direction of the lines of force indicates the direction of the force that the electric field will exert on another charged object.

When a positive charge is placed in the center of a screen, the electric field will radiate away from the charge in all directions. The strength of the electric field will be greatest close to the charge and will decrease as you move further away from the charge. You can observe the electric field by drawing the lines of force, or by using a simulation to visualize the electric field.

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The total charge of the earth needed to support such a field is −4.56 × 10⁵ C.

What is electric charge ?

The physical quality of matter—its electric charge—is what causes it to feel a force when exposed to an electromagnetic field. Protons and electrons, the two types of charge carriers, typically carry positive and negative electric charges. Charges moving through a system produce energy.

What is electric field ?

According to mathematics, the electric field is described as a vector field that may be connected to each point in space and represents the force per unit charge that is applied to a positive test charge that is at rest at that location. Either the electric charge or time-varying magnetic fields can produce an electric field.

Given

E = 100 N/C  inward

Flux =[tex]\dfrac{ q_{enclosed}}{\epsilon}[/tex]

−E(4πr2) =[tex]\dfrac{ q_{enclosed}}{\epsilon}[/tex]         as field is inward so flux is negative

⇒ [tex]q_{enclosed}[/tex] = −εE (4πr²)

⇒ [tex]q_{enclosed}[/tex] = −εE (4πr2)              

= −8.85 × 10⁻¹² × 100 × 4π × (6400×1000 m)²

= −4.56 × 10⁵ C

this charge may be coming because earth core is ionised and positively charged so on surface maybe negative charge induced.

Thus, The total charge of the earth needed to support such a field is −4.56 × 10⁵ C.

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Complete question:

It turns out that there is an electric field that points inward toward the center of the Earth that has a magnitude of about 100 N/C near the Earth's surface. Estimate the total charge of the Earth needed to support such a field. Where do you think all this charge comes from?

Change in kinetic energy is 80J.

We know that change in kinetic energy is total work done by the object.

i.e. Change in KE = Force * Displacement

Given, Force = 8N

           Displacement = 10m

Putting these values in above equation we get: KE = 8*10 = 80 N.

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The point where the lunar gravitational force becomes equal in magnitude to the Earth's gravitational force is called the "Lagrange point," and it is located approximately 1.5 million kilometers from the Moon in the direction of Earth.

At this point, the gravitational forces of the Earth and the Moon balance each other out, and a spacecraft can remain in a stable position without using any fuel. This makes the Lagrange point an ideal location for a spacecraft to rest or make observations, as it requires minimal effort to maintain position.

It is important to note that beyond this point, the Moon's gravitational force begins to dominate, and the spacecraft would be pulled towards the Moon. However, by using the right combination of velocity and trajectory, a spacecraft can be sent directly from the Earth to the Moon and land on the lunar surface.

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10 Joule hav an equal value of 90,000 gr.cm².s² in a system with 10 cm, 100 gram, and 30s as the fundamental units.

Joule is a standard units consisted of kg, m², and s² units. We can breakdown the value of 1 Joule into:

1 Joule = 1 kg.m²/s²

Hence, the value of 10 Joule equals to:

10 Joule = 10 kg.m²/s²

Next, we need to assume N as the converted value under the given fundamental units. The value of 10 Joule in the fundamental units will be:

10 Joule = N (100gr) (100cm) (30s)

10 kg. m²/s² = N (100gr) (100cm) (30s)

10 kg. m² s⁻² = N (100gr) (100cm) (30s)

N = 10 (kg/10gr) (m/100cm)²  (s/30s)⁻²

N = 10 (1000gr/100gr) (100cm/100cm)²  (1s/30s)⁻²

N = 10 (10gr) (1cm)²  (1/30 s)⁻²

N = 10 (10gr) (1cm²) (30s)²

N = 90,000 gr.cm².s²

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