Which measurement is used to determine if an object has balanced forces

Answer:

6

Explanation:

The magnetic field inside a solenoid is given by the following formula:

[tex]B = \mu_{0}nI[/tex]

where,

B = Magnetic Field Inside Solenoid

μ₀ = permittivity of free space

n = No. of turns per unit length

I = Current Passing through Solenoid

For Solenoid 1:

[tex]B_{1} = \mu_{0}n_{1}I ------------------- equation 1[/tex]

For Solenoid 2:

n₂ = 6n₁

Therefore,

[tex]B_{1} = \mu_{0}n_{2}I\\B_{1} = 6\mu_{0}n_{1}I ----------------- equation 2[/tex]

Diving equation 1 and equation 2:

[tex]\frac{B_{2}}{B_{1}} = \frac{6\mu_{0}nI}{\mu_{0}nI}\\\\\frac{B_{2}}{B_{1}} = 6[/tex]

Hence, the correct option is:

6

The ratio of the magnetic fields in interior 2 to interior 1 will be

[tex]\dfrac{B_2}{B_1} =\dfrac{6}{1}[/tex]

The formula for the magnetic fields inside the solenoid will be given:

[tex]B=\mu_onI[/tex]

here,

B = Magnetic Field Inside Solenoid

μ₀ = permittivity of free space

n = No. of turns per unit length

I = Current Passing through Solenoid

For the first Solenoid

[tex]B_1=\mu_on_1I[/tex]..................(1)

For the second solenoid

[tex]n_2=6n_1[/tex]

Now

[tex]B_2=\mu_on_2I[/tex]

[tex]B_2=\mu_o(6n_1)I[/tex]..................(2)

Diving equation 1 and equation 2:

[tex]\dfrac{B_2}{B_1} =\dfrac{\mu_o(6n_1)I}{\mu_on_2I}[/tex]

[tex]\dfrac{B_2}{B_1} =6[/tex]

Thus the ratio of the magnetic fields in interior 2 to interior 1 will be

[tex]\dfrac{B_2}{B_1} =\dfrac{6}{1}[/tex]

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Answer:

3.69 rad/s

Explanation:

From the question given above, the following data were obtained:

Period (T) = 1.7 s

Angular frequency (ω) =?

Thus, we can obtain the angular frequency (ω) by applying the following formula:

ω = 2π/T

Period (T) = 1.7 s

Pi (π) = 3.14

Angular frequency (ω) =?

ω = 2π/T

ω = 2 × 3.14 / 1.7

ω = 6.28 / 1.7

ω = 3.69 rad/s

Thus, the angular frequency of the motion is 3.69 rad/s

Only weigh is a force. force is mass multiplied by acceleration. weight is the mass plus the gravitational force acting on it.          

The difference between mass and weight is that mass is a measure of inertia and weight is a measure of force. We  use both of these terms interchangeably but this is not quite correct.

Mass can be defined as how much a material an object is made up of. so considering the smallest particles we can say that the number of protons, neutrons, and electrons in an object is a simply the measure of its mass. Mass, can be referred as  both a property of an object and a measure of an object's resistance to acceleration.  kilograms and grams is the unit of mass.

The weight of an object can be referred as the force acting on it because or due  to gravity. That is, the gravitational interactions between bodies and masses, and when they interacts with the Earth, that force will be considered as the weight. its Unit is Newtons.

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Answer:

letter B..

Explanation:

because pinililit you direction pina force nyang itulak

The ball encounters resistance as it travels through the air. Drag is the term for the air's resistance to the ball. Drag slows down the baseball because it is applied against the direction of the ball's flight. Thus, option B is correct.

When two objects rub against one another, a force known as friction is applied. Friction force often works to prevent an object from moving. For instance, friction between a ball and carpet when rolling a ball across it causes the ball to move more slowly.

A baseball in flight is impacted by three forces. The three forces are lift, drag, and weight. Actually, the aerodynamic force exerted on the ball is made up of two parts: lift and drag. Lift acts perpendicular to the motion, and drag acts in the direction opposite to the motion.

Therefore,  the direction of the force the least effect on the motion of a ball.

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Answer:

[tex]velocity(x)=15\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex]

Max speed = [tex]\frac{15\, \pi}{4} \,\, \frac{m}{s}[/tex]

Max acceleration = [tex]\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}[/tex]

Explanation:

Given the description of period and amplitude, the SHM could be described by:

[tex]f(x)=5\,sin(\frac{\pi}{4}x)[/tex]

and its angular velocity can be calculated doing the derivative:

[tex]f(x)=5\, \,sin(\frac{\pi}{4}x)\\f'(x)=5\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex]

And therefore, the tangential velocity is calculated by multiplying this expression times the radius of the movement (3 m):

[tex]velocity(x)=15\,\frac{\pi}{4}\,cos(\frac{\pi}{4}x)[/tex]  and is given in m/s.

Then the maximum speed is obtained when the cosine function becomes "1", and that gives:

Max speed = [tex]\frac{15\, \pi}{4} \,\, \frac{m}{s}[/tex]

The acceleration is found from the derivative of the velocity expression, and therefore given by:

[tex]acceleraton(x)=-15\,\frac{\pi^2}{16}\,sin(\frac{\pi}{4}x)[/tex]

and the maximum of the function will be obtained when the sine expression becomes "-1", which will render:

Max acceleration = [tex]\frac{15\,\pi^2}{16} \,\,\frac{m}{s^2}[/tex]

Answer:

τ = 0.009 Nm

Explanation:

The torque applied on the tooth can be given by the following formula:

[tex]\tau = Fd[/tex]

where,

τ = Torque on the tooth= ?

F = Force acting on tooth = 9 N

d = distance between force and tooth axis = 1 mm = 0.001 m

Therefore, using these values in the equation, we get:

[tex]\tau = (9\ N)(0.001\ m)[/tex]

τ = 0.009 Nm

Given that,

The rate of change of current = 3.2 A/s

Emf induced in the coil = 5.7 V

To find,

The magnitude of the mutual inductance of the two coils.

Solution,

The mutual inductance between the coils is given by the formula as follows :

[tex]\epsilon=M\dfrac{dI}{dt}\\\\M=\dfrac{\epsilon}{\dfrac{dI}{dt}}\\\\M=\dfrac{5.7}{3.2}\\\\=1.78\ H[/tex]

So, the mutual inductance of the two coils is 1.78 H.

Answer:b) 4.5×10^9km

Explanation:use s= vt/1000 here, v= speed of light which is 3×10^8m/s

t= time in second

Answer:

When speed reduces, acceleration decreases

Explanation:

From first equation of motion;

[tex]{ \tt{v = u + at}}[/tex]

When time is constant:

[tex]{ \tt{v = 0 + kt}} \\ { \tt{v = kt}} \\{ \tt{v \: \alpha \: \: a}}[/tex]

When speed is decreasing, velocity and acceleration are in opposite directions.

Answer:

Static, sliding, and rolling friction occur between solid surfaces. Static friction is strongest, followed by sliding friction, and then rolling friction, which is weakest. Fluid friction occurs in fluids, which are liquids or gases.

Explanation:

Answer:

-79

Explanation:

because I know because that's what the answer is because it is -79 when it hits the ground

The acceleration of the electrical current is -2.4 m/s².

Acceleration can be defined as the rate of change of velocity.

To calculate the acceleration of the electric current, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the electrical current is -2.4 m/s².

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The atoms come from the parents of the puppies and were formed by biosynthesis in the bodies of the parent dogs.

The term biological molecules are those molecules that are important for life. These are the molecules that are involved in the processes of life that take place in an organism.

Now, from the time of conceptions, the biomolecules in the new organism begins to form. Recall that the DNA is the molecule that is used to store the genetic information of an organism. Now et us recall that the DNA is passed on from the parents to the offspring.

Now, we know that the atoms that compose these puppies come from the parent organisms. The molecules in which the atoms are formed are formed during the natural processes that were taking place in the bodies of the parents of puppies. This occurs by the process of reproduction.

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Answer:

All the cells in an organism have exactly the same function

"Distance" here is the total distance traveled along the red path (see attached) from point A to point B. Just count how many how sides of each square in the grid are touched by the path. Then distance = 24 units.

"Displacement" is the net distance covered by moving from point A to point B, or the length of the green path. So displacement = 2 units to the right. Of course, your question seems to ask for the displacement in terms of units to the left, in which you could say -2 units to the left.

Answer:

Cost = $ 7.72

Explanation:

Considering the trip of 100 km, the cost spent on the fuel during the trip can be calculated by the following formula:

[tex]Cost = Average Fuel Consumption\ x\ Unit Fuel Cost\ x\ Distance[/tex]

where,

Average Fuel Consumption = 6 liter/100 km

Unit Fuel Cost = (1.063 euros/liter)($ 1.21/1 euro) = $ 1.29/liter

Distance = 100 km

Therefore,

[tex]Cost = (6\ liter/100\ km)(\$\ 1.29/liter)(100\ km)\\[/tex]

Cost = $ 7.72

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Answer: A

Explanation:

Answer:

v = 0.6c = 1.8 x 10⁸ m/s

Explanation:

From Einstein's theory of relativity, we know that the length of an object contracts while traveling at a speed relative to speed of light. The contraction is according to following equation:

[tex]L = L_{0}\sqrt{1 - \frac{v^2}{c^2}}[/tex]

where,

L = Relative Length

L₀ = Rest Length

According to given:

L = 0.8 L₀

c = speed of light = 3 x 10⁸ m/s

v = relative speed of train = ?

Therefore,

[tex]0.8L_{0} = L_{0}\sqrt{1 - \frac{v^2}{c^2} } \\\\0.8 = \sqrt{1 - \frac{v^2}{c^2} }[/tex]

squaring on both sides:

[tex]0.64 = 1-\frac{v^2}{c^2}\\\\\frac{v^2}{c^2} = 1-0.64 \\v^2= 0.36c^2\\[/tex]

taking square root on both sides:

v = 0.6c = 1.8 x 10⁸ m/s

Answer:

The horse moves due to kinetic energy and is walking balanced because of the gravitational energy

Explanation:

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The average acceleration of the car over 3 seconds is -7 m/s².

Acceleration is defined as the rate of change of velocity with respect to time. Mathematically -

a = Δv/Δt

Given is a car that car slows from 36 m/s to 15 m/s over 3 seconds.

We can calculate acceleration as follows -

a = Δv/Δt

a = (15 - 36)/(3)

a = -21/3

a = - 7m/s²

Therefore, the average acceleration of the car over 3 seconds is -7 m/s².

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This question is incomplete, the complete question is on the image uploaded along this answer.

Answer:

the potential at point B is 5 V, Option d) is the correct answer

Explanation:

Given that;

from the image;

R = 3 + 4 + 5 = 12 Ω

so I = 12/12 = 1 A

Q = 0 + 12 = 12 V

now

VA - VQ = - I × 3 = -3 V

VA = VQ - 3 =  12 - 3 = 9 V

VB - VA = - I × 4Ω = - 4 V

⇒VB = VA - 4 = 9 V - 4 V = 5 V

Therefore the potential at point B is 5 V

Option d) is the correct answer

Answer:

Counter clockwise

Explanation:

Answer:

An induction is the process a new recruit goes through to be introduced to the company and their new role. ... Beyond the initial days, the induction programme continues for many months, so that the new employee can fully integrate into life in the company and settle into their role to become a valuable member of staff.

Explanation:

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Answer:

The tension in the string is 52.89 N.

Explanation:

Given;

mass of the string, m = 19.1 g = 0.0191 kg

length of the string, L = 1.95 m

⇒mass per unit length, μ = 0.0191 / 1.95 = 0.009795 kg/m

Also Given;

frequency of the string, F = 440 Hz

wavelength of the sound wave, λ = 16.7 cm = 0.167 m

⇒the speed of the wave, v = Fλ = 440 x 0.167 = 73.48 m/s

The tension T in the string is calculated as;

[tex]v = \sqrt{\frac{T}{\mu} } \\\\v^2 = \frac{T}{\mu}\\\\T = v^2 \mu\\\\T = (73.48)^2 (0.009795)\\\\T = 52.89 \ N[/tex]

Therefore, the tension in the string is 52.89 N.

The statements that describe the processes involved in the accretion of planetesimals and protoplanets are :

II. Both processes involve nebular materials becoming solid particles.

IV. In both cases, masses of stuff are clumped together and gases are trapped.

Accretion basically involves the accumulation of particles into a massive object by gravitationally attracting more matter, mainly the gaseous matter, in an accretion disk.

A protoplanet is basically a large planetary embryo that has originated within a protoplanetary disc and which also has undergone internal melting to produce a differentiated interior.

Planetesimals are known to be small rock-type objects which are

formed by collisions with other objects present in the solar system.

Hence, the statements that describe the processes involved in the accretion of planetesimals and protoplanets are :

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The complete question is mentioned below:

Which statements describe processes involved in the accretion of planetesimals and protoplanets?

( I ) Both involve the melting of solid materials in the nebula.

( II ) Both involve the formation of solid particles from nebular materials.

( III ) Both involve the work of the gravitational push on nebular materials.

( IV ) Both involve the trapping of gases and the clumping of masses of matter.

( V ) Both involve the growing of gas grains with the addition of atoms and molecules.

Given that,

At 3.00 m from a source that is emitting sound uniformly in all directions, the sound level is 60.0 dB.

To find,

The distance from the source would the sound level be one-fourth the sound level at 3.00 m.

Solution,

The intensity from a source is inversely proportional to the distance.

Let I₁ = 60 dB, r₁ = 3 m, I₂ = 60/4 = 15 dB, r₂ =?

Using relation :

[tex]\dfrac{I_1}{I_2}=\dfrac{r_2^2}{r_1^2}\\\\r_2^2=\dfrac{I_1r_1^2}{I_2}\\\\r_2^2=\dfrac{60\times (3)^2}{15}\\\\r_2=6\ m[/tex]

So, at a distance of 6 m the sound level will be one fourth of the sound level at 3 m.