HELP

1. Which of the following is most useful in determining the kinetic energy of a 50 g battery- powered car

traveling a distance of 10 m?

A) Beaker

B) Voltmeter

C) Thermometer

D) Stopwatch

1. Resistance is the opposition offered in a path of flow of current by the atoms or molecules of the conductor.

Factors on which resistance of a conductor depends are:

2. Rheostat is used to change the resistance without changing the voltage source in an electric circuit.

3.

Given :

[tex]\dashrightarrow l = 50 m[/tex]

[tex]\dashrightarrow A = 0.01 {mm}^{2} [/tex]

[tex]\dashrightarrow A = 0.01 \times {10}^{ - 6} \: {m}^{2} [/tex]

[tex]\dashrightarrow \rho = 5 \times {10}^{ - 8} \: \Omega \: m[/tex]

We know that,

[tex] \dashrightarrow R = \rho \dfrac{l}{A}[/tex]

[tex] \dashrightarrow R = 5 \times {10}^{ - 8} \bigg(\dfrac{50}{0.01 \times {10}^{ - 6} } \bigg)[/tex]

[tex] \dashrightarrow { \pink{ \underline{ R = 250 \: \Omega }}}[/tex]

The resistance of a conductor is the opposition to the flow of current and depends on the length and area of the material

Resistance is the opposition to the flow of current by the atoms or molecules of the conductor.

The factors on which resistance of a conductor depends are:

A Rheostat is the device used to change the resistance without changing the voltage source in an electric circuit.

The resistanceis given as:

Area = 0.01 square mm = 1.0 × 10^-8 square m

R = (50 × 5 ×10 ^-8 ohm m)/1.0 × 10^-8 square m

Resistance = 250 ohm

Therefore, resistance of a conductor is the opposition to the flow of current.

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The work done on the object moving in the xy-plane that is subjected to the given applied force is determined as (2ab²i + 3b²j) J.

The magnitude of the force on the object is calculated as follows;

f = (2xyi + 3yj)

when;

x = a, and y = b

f = (2abi + 3bj)

The work done the applied force is the product of force and displacement of the object.

W = fΔs

where;

Δx = a - a = 0

Δy = 0 - b = -b

Δs = √(Δx² + Δy²)

Δs = √(-b)²

Δs = b

W = (2abi + 3bj) x b

W = (2ab²i + 3b²j) J

Thus, the work done by the applied force on the object is (2ab²i + 3b²j) J.

The complete question is below;

An object moving in the xy-plane is subjected to the force f = (2xyi + 3yj),  where x and y are in m. The particle moves from the origin to the point with coordinates (a, b) by moving first along the x-axis to (a, 0), then parallel to the y-axis. How much work does the force do?

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The work done on an item moving in the xy-plane that is subjected to a particular force is found as (2ab²i + 3b²j) J.

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

Work may be zero, positive, and negative.it depends on the direction of the body displaced. if the body is displaced in the same direction of the force, it will be positive.

The given data in the problem is;

F is the force applied;  f⃗ = (2xyi + 3yj)

Work done is found as the product of force and the body displacement;

[tex]\rm W = F \triangle S[/tex]

As the object is moving in the xy- plane. Displacement in the x direction;

[tex]\rm \triangle x = a-a \\\\ \triangle x =0[/tex]

Displacement in the y direction;

[tex]\rm \triangle y = 0-b \\\\ \rm \triangle y = -b \\\\[/tex]

The net displacement in the xy plane is;

[tex]\rm \triangle s= \sqrt{(\triangle x)^2+(\triangle y)^2 } \\\\\ \rm \triangle s= \sqrt{(0)^2+(-b)^2 } \\\\\ \triangle s= \sqrt{b^2} \\\\ \triangle s=b[/tex]

The work done is found as;

[tex]\rm W= F \triangle S \\\\ W=( 2 ab \vec i+3b \vec j) \triangle S\\\\ W= W=( 2 ab \vec i+3b \vec j) b \\\\\ W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]

Hence, the work done on an item moving in the xy-plane will be,[tex]\rm W=(2ab^2 \vec i + 3b^2 \vec j)\ J[/tex]

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Explanation:

No need to calculate the force you can just find by Hookes law

Hookes law states that

Where

So

force remains negative as per it

Option B

Answer:

2.5A

Explanation:

We know the relation :

V = IR

By using the formula,

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Potential Difference is 30 Volt . The Resistance is given as 12 Ohm . And, we have been asked to calculate the Current of the Device.

For calculating the Current , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed { \sf{ \: Current \: = \: \dfrac{Potential \: Difference}{Resistance} \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Current \: = \: \dfrac{Potential \: Difference}{Resistance} } [/tex]

[tex] \longmapsto \: \: \: \sf { Current \: = \: \dfrac{30}{12} } [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Current \: = \: 2.5 }} [/tex]

Hence :-

[tex]\underline {\rule {180pt} {4pt}} [/tex]

Light travels in straight lines

Light is a form of energy.

Light travels in waves.

Explanation:

The metre is currently defined as the length of the path travelled by light in a vacuum in 1299 792 458 of a second.

Hope it helps

Have a great day

TC

:DD

#a

Force:-

#b

Force:-

The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.

From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.

For case 2, f = mg = kx₂.

Therefore, we'll equate the equations. This will be:

Kx₁ = Kx₂

(K/2)x₁ = (2k)x₂

K(x₁/2) = k(2x₂)

X₁/2 = 2x₂

X1 = 2 × 2x₂

X₁ = 4X₂.

In conclusion, X₁ = 4X₂.

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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

For case 1;

f=mg=kx₁

For case 2;

f=mg=kx₂

After equating the equation we get;

[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]

Hence  X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

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The rate of climb of the aircraft in a steady climb making a 10 degree angle with the horizontal is : 17.36 knots

Given data

Airspeed = 100 knots

Angle with the horizontal ( ∅ ) = 10°

we will apply the formula below

Vy ( rate of climb ) = Airspeed * sin ∅

                              = 100 * sin ( 10 )

                              = 17.36 Knots

Hence we can conclude that rate of climb of the aircraft in a steady climb is : 17.36 knots.

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Answer:

B. 87 km/h

Explanation:

We can find the average speed by using the relationship between speed, distance, and time.

Distance = Speed * Time

Reaarange this to obtain:

Speed = Distance/Time

Speed = (85+45)/1.5

Speed = 87 km/h

The reflected ray of a ray of light that makes an angle of 25° with the normal to a plane mirror and its is turned through 60°, making the angle of incidence to be 31° is rotated through 12°.

Freflection can be defined as the turning back of a ray of light when its strikes a plane's surface.

There are 2 laws of reflection

(1) The first law of reflection states that the incident ray the reflected ray and the normal all at the point of incidence lie in the same plane

(2) The second law of reflection states that the angle of incident is equal to the angle of reflection.

From the question, if the incidence ray is rotated through 6°, then the  reflected ray is rotated through 12°

Hence, The reflected ray is rotated through 12°.

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The reflection resulting in a 31° angle of incidence and the angle is the reflected ray rotated will be 12°

The law of reflection specifies that upon reflection from a downy surface, the slope of the reflected ray is similar to the slope of the incident ray.

The reflected ray is consistently in the plane determined by the incident ray and perpendicular to the surface at the point of reference of the incident ray.

When the light rays descend on the smooth surface, the angle of reflection is similar to the angle of incidence, also the incident ray, the reflected ray, and the normal to the surface all lie in a similar plane.

As a result, the reflected light is rotated by 12°.

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The absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.

The outer space is almost an absolute vacuum, because it's nearly empty. There is no matter such as air in the outer space that will provide an external force needed to change the velocity of the piece of rock.

From Newton's first law of motion, an object in a state of rest or uniform motion in a straight line, will continue in that state unless it is acted upon by an external force.

Thus, the absence of external force in the outer space, allows the piece of rock to continue moving at the same velocity for thousands of years.

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Answer:

inertia

Explanation:

The magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.

The magnetic force on a charged particle is determined from the product of the magnetic field strength (B), speed of the charge (v) and magnitude of the charge (q).

The magnitude of the force is caculated using the following formula;

F = qvB

The magnitude of the force is calculated using the following formula,

F = BILsinθ

F = BIL

Where;

At equal magnetic force, the magnetic field can be calculated as follows;

B = F/qv = F/IL

Thus, the magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.

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The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".

It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.

The magnetic force on the charged particle is found as;

[tex]\rm F = qvB[/tex]

The magnetic force on the current-carrying wire is found as;

[tex]\rm F = BIL sin \theta[/tex]

When the angle of inclination is at a right angle;

[tex]\rm F= BIL[/tex]

The magnetic field is;

[tex]\rm B = \frac{F}{qv} \\\\ B= \frac{F }{IL}[/tex]

The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".

Hence the quantity qv is replaced by "IL".

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The total resistance and current flowing through the circuit is equal to 60 Ohms and 2 Amperes respectively.

Given the following data:

Resistors = 20 Ohms.

Voltage = 120 Volts.

Since the three resistors are connected in series, we would calculate their total resistance by adding them up as follows:

RT = R1 + R2 + R3

RT = 20 + 20 + 20

RT = 60 Ohms.

Next, we would determine the current that is flowing through the circuit by applying Ohm's law.

From Ohm's law, we have:

V = IR

I = V/R

I = 120/60

I = 2 Amperes.

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Answer: When you name an element, it's usually because the element is newly discovered. So by naming an element you are creating something that will last throughout history.

Explanation:

Answer:

The moons gravity is 1.62 m/s²

Answer: (A) The number of waves that pass a point in a certain amount of time.  

Explanation:

Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm.

Frequency: Is the number of waves that pass a certain point in a specified amount of time.

Trough: The low point of the wave cycle.

Wavelength: The distance between two successive peaks.

Electromagnetic wave: One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity.

Answer:

I believe if red, blue, and green light come together it would produce White light.

Answer:

you get a light white

Explanation:

The number of electrons that is needed to fill the following sublevels are:

The formula to find this out is:

= 2 x (2 x Level +1)

1s = 0 levels

Number of electrons:

= 2 x (2 x 0 + 1)

= 2 electrons

2s = 0 levels

= 2 x (2 x 0 + 1)

= 2 electrons

2p = 1 level

= 2 x (2 x 1 + 1)

= 6 electrons

3s = 0 levels

= 2 x (2 x 0 + 1)

= 2 electrons

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The completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.

The electron arrangement is the way or process to arrange the electrons in an atom. The number of electron  needed per sublevel are expressed in following points.

The image of the table which fill the sublevel is attached below. In this table all the electron is fulfilled with needed electrons.

Thus, the completed table using the electron arrangement interactive is attached below. In this table for sublevel 1s, 2s, 2p and 3s electron needed is 2,2,6 and 2 respectively.

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Answer:

Explanation:

Did u get the answer

Answer:

D

Explanation:

The range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.

To find the range of wavelengths, we use the equation for the speed of a wave

The speed of a wave v = fλ where

This is the distance a wave travels in one cycle of the wave.

Making λ subject of the formula, we have

λ = v/f

Given that the range of frequencies of FM radio is 88.0 MHz to 108 MHz and

λ' = v/f'

= 3 × 10⁸ m/s ÷ 88.0 × 10⁶ Hz

= 0.0341 × 10² m

= 3.41 m

λ" = v/f"

= 3 × 10⁸ m/s ÷ 108 × 10⁶ Hz

= 0.0278 × 10² m

= 2.78 m

So, the range of wavelengths that are received by the car radio are 2.78 m to 3.41 m.

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Answer:

the Moon is smaller in diameter than the United States

however. The United States is 2,545 km / 1,582 mi from north to south, and thus, the Moon is smaller across than the United States is wide.

Answer:

The moon is smaller than the earth.

Explanation:

Moon's Diameter is 2,159.1 mi

Earth's Diameter is 7,917.5 mi

Answer:

the anwser is atp

Explanation:

To move substances against a concentration or an electrochemical gradient the cell must use energy. This energy is harvested from ATP that is generated through cellular metabolism. Active transport mechanisms, collectively called pumps or carrier proteins work against electrochemical gradients.

The energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

The passive transport is the shifting or transfer of a solute from a place where the electrochemical potential is high to a place where the electrochemical potential is low.

Energy require for passive transport-

Thus, the energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

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Answer:

a

Explanation:

The frequency of the wave at the given period is 0.114 Hz. This frequency shows the number of revolution of the wave in a second.

The frequency of a wave is the number of revolutions of the wave per second.

Frequency of a wave is determined by taking the inverse of period of the wave.

The frequency of the wave at the given period is calculated as follows;

f = 1/T

Where;

f = 1/8.75

f = 0.114 Hz

Thus, the frequency of the wave at the given period is 0.114 Hz.

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The speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

Given the data in the question;

Since the brick was initially at rest before it was dropped,

Final speed of brick as it hits the ground; [tex]v = \ ?[/tex]

velocity is simply the same as the speed at which a particle or object moves. It is the rate of change of position of an object or particle with respect to time. As expressed in the Third Equation of Motion:

[tex]v^2 = u^2 + 2gh[/tex]

Where v is final velocity, u is initial velocity, h is its height or distance from ground and g is gravitational field strength.

To determine the speed of the brick as it hits the ground, we substitute our giving values into the expression above.

[tex]v^2 = u^2 + 2gh\\\\v^2 = 0 + ( 2\ *\ 10m/s^2\ *\ 15m)\\\\v^2 = 300m^2/s^2\\\\v = \sqrt{300m^2/s^2}\\ \\v = 17.32m/s[/tex]

Therefore, the speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

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Answer:

This is your answer

If I freeze fresh water and salt water then the fresh water will freeze more quickly because salt lowers the freezing point temperature

Explanation:

I hope it helped you

The magnitude of the angular momentum of the rod immediately after the collision is given as (pf + pi) * d. (Option A).

Angular Momentum may be defined or described as the vector quantity of the rotation of a body, which is arrived at by multiplying its moment of inertia by its angular velocity.

The formula for Angular Momentum is given as:

L = mvr; Where

L = Angular Momentum

m = mass

v = velocity; and

r = radius.

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[tex]\rm( P_f+P_i)d[/tex] is the magnitude of the rod's angular momentum immediately after the contact. Option A is correct.

Angular Momentum may be defined as the vector quantity of a body's rotation, which is calculated by multiplying its moment of inertia by its angular velocity.

The Angular Momentum formula is as follows:

[tex]\rm L=I\omega[/tex]

[tex]\rm L = mvr[/tex]

Where,

L is the angular momentum

m stands for mass.

v stands for velocity, and

r stands for radius.

Hence option A is correct.

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