if a rock has a volume of 22.0 mL and a mass of 55 g. what is the density

The force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.

We have a Pair of objects.

We have to discuss about the force of gravity between them.

In physics, gravity is a fundamental interaction which causes mutual attraction between all things with mass or energy.

According to the question -

Assume that the mass of objects are m and M. They are separated by distance r apart.

According to the Newton's law of gravitation - the force of gravity between the two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the force of gravity between m and M will be -

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

Hence, the force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.

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Answer:

2 m/s²

Explanation:

To calculate the acceleration of an object, we use the following formula:

[tex]\boxed{a = \frac{v - u}{t}}[/tex],

where:

• a = acceleration

• v = final speed

• u = initial speed, and

• t = time taken

We are told in the question that the final speed of the helicopter is 40 m/s, its initial speed is 30 m/s, and that the time it took to get from 30 m/s to 40 m/s is 5 seconds.

Therefore, using this information, as well as the formula above, we can evaluate the acceleration of the helicopter:

[tex]a = \frac{40 - 30}{5}[/tex]

  [tex]= \frac{10}{5}[/tex]

  [tex]= \bf 2 \: m/s^2[/tex]

So the acceleration of the helicopter is 2 m/s².

Answer:

N1 Sin θ1 = N2 sin θ2        Snell's equation

Sin θ2 = 1 / 1.33 * Sin 40

Sin θ2 = .752 * .643 = .483

θ2 = 28.9 deg

The time interval between one frame and the next is 1/60 second and it needs to be slowed down by a factor of 2.5.

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The frame rate of a high-speed video while recording sporting events is 60 frames per second.

Let's say the time interval between one frame and the next is x.

Using the unitary method,

60 frames → 1 sec

1 frame → x second

So, x = 1/ 60 second

Now, in continuous motion, we can see 24 frames per second.

60 frames per second need to be slowed down to 24 frames per second.

Therefore the factor will be:

= ( 60/24 ) = ( 15/6 ) = ( 5/2 ) = 2.5

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Answer:

pp

Explanation:

hahahahhahahhahahahahahaahhahaha..  tbh

The resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms.

Resistance is the obstruction of electrons in an electrically conducting material.

As given in the problem On three separate instances you connect each lightbulb to a battery with an and of 12.00V and an internal resistance of 0.5. When a current of 4A passes through the battery,

resistance = voltage /current

                  = 12 volt/4 ampere

                  = 3 Ohm

The total resistance across the circuit = internal resistance + resistance across the bult

resistance across the bulb = 3 - .50

                                            =2.5 Ohms

Thus, the resistance in the LED, CFL, and incandescent lightbulb would be 2.50 ohms

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The speed of particle 1 with respect to particle 2 which is moving perpendicular to each other at 2.83 s is 20.89 m / s

a = v / t

v = x / t

[tex]a_{1}[/tex] = 3.37 m / s²

[tex]a_{2}[/tex] = 5.18 m / s²

t = 2.83 s

[tex]v_{1}[/tex] = [tex]a_{1}[/tex] * t

[tex]v_{1}[/tex] = 3.37 * 2.83

[tex]v_{1}[/tex] = d[tex]x_{1}[/tex] / dt = 9.54 m / s

[tex]v_{2}[/tex] = [tex]a_{2}[/tex] * t

[tex]v_{2}[/tex] = 5.18 * 2.83

[tex]v_{2}[/tex] = d[tex]x_{2}[/tex] / dt = 14.66 m / s

[tex]x_{1}[/tex] = [tex]v_{1}[/tex] * t

[tex]x_{1}[/tex] = 9.54 * 2.83

[tex]x_{1}[/tex] = 27 m

[tex]x_{2}[/tex] = [tex]v_{2}[/tex] * t

[tex]x_{2}[/tex] = 14.66 * 2.83

[tex]x_{2}[/tex] = 41.49 m

Since they are moving perpendicular to each other, they make a right angled triangle. According to Pythagoras theorem,

[tex]x_{3} ^{2}[/tex] = [tex]x_{1} ^{2}[/tex] + [tex]x_{2} ^{2}[/tex]

On differentiating with respect to t,

2[tex]x_{3}[/tex] d[tex]x_{3}[/tex] / dt = 2[tex]x_{1}[/tex] d[tex]x_{1}[/tex] / dt + 2[tex]x_{2}[/tex] d[tex]x_{2}[/tex] / dt

41.49 ( d[tex]x_{3}[/tex] / dt ) = 27 ( 9.57 ) + 41.49 ( 14.66 )

d[tex]x_{3}[/tex] / dt = ( 258.4 + 608.24 ) / 41.49

d[tex]x_{3}[/tex] / dt = [tex]v_{12}[/tex] = 20.89 m / s

Therefore, the speed of particle 1 with respect to particle 2 at 2.83 s is 20.89 m / s

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O the dependent variable

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

Hi,

In general, what goes on the y-axis of a graph?

O the dependent variable

The correct answer is 4.14456 mi/hour.

The entire distance that an object travels in a given amount of time is the definition of average speed for that object. You can figure it out by dividing the overall distance traveled by the overall journey time.

When an object travels a distance at a variety of speeds, its average speed is the speed at which, if the object moves uniformly, it will travel the same distance in the same amount of time.

average speed= total distance / total time

total distance = 1 mile

The total time = 2 / ( 3 × 3.5 ) = 0.190 hour

time for coming = 1 / (3 × 6.5 ) = 0.05128 hour

Thus the average speed = 1 / ( 0.190 + 0.05128 ) = 1 / 0.24128 = 4.14456 mi/hour.

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Answer:

it means how fast the wave is traveling in which a 40 ms is as fast as a car traveling

The answer is A. inerta

.....

Answer:

As an object moves away from us, the sound or light waves emitted by the object are stretched out, which makes them have a lower pitch and moves them towards the red end of the electromagnetic spectrum, where light has a longer wavelength.

Explanation:

Doppler shift example: Sound waves from a police car siren. The car is driving forwards. The sound waves in front of the car get bunched up and the sound waves behind the car get stretched out.

In the case of light waves, this is called redshift

A line of best fit is a straight line drawn through the most points on a scatter plot, with an equal number of points above and below the line. It is used to investigate the nature of the relationship between two variables. The correct option is d.

A straight line with the best fit is one that minimizes the distance between it and some data.

In a scatter plot of varying data points, the line of best fit is used to express a relationship. It is a result of regression analysis and can be used to forecast indicators and price movements.

It is important to note that your line does not need to pass through any of the points on the plot; it only needs to bisect the area that contains the data points.

Thus, none of the options are correct, the correct one is d.

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In an elevator going down at constant speed. All these forces are acting on us, except option B. a torque.

Torque is the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.

Torque is the torque that interacts with the torque of the motor and measures how much of that torque is available when the motor is exerting itself. Torque is present in everyday events. B. Turning a doorknob, opening a soda bottle, using a wrench, pedaling a bicycle.

Constant speed means that the velocity does not change at all for each second of movement. The example of driving a car with cruise control shows constant speed. Constant acceleration means that the velocity increases at the same constant rate every second of his.

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correlation  between the length of the semimajor axis and the orbital period is given by Kepler's 3rd law P² = kA³

Kepler's 3rd law is given as

P² = kA³

where

P = period, days

A = semimajor axis, AU

k = constant

Given: for mars

P = 687 days

A = 1.52 AU

Therefore

k = P²/A³

= 687²/1.52³

= 1.3439 x 10⁵ days²/AU³

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Answer:   There is a positive correlation. A longer semimajor axis corresponds to a longer orbital period.

Explanation:

The resultant displacement is  (- 145 i - 130 j )m and the angle made by the resultant is 46° west of the South, this can be found using the polygon law of vector addition.

Physical quantity that has both magnitude as well as direction a vector is represented by a line ending with an arrow head where the length of the line represents the magnitude of the vector and the direction of the arrowhead represents the direction of the vector.

If two or more vectors are joined head to tail then the polygon law of vector addition states that the resultant of such a vector will be given by the vector addition of all the vectors present in the polygon.

Given:

Magnitude of vector 1 pointing south = 40m

Magnitude of vector 2 pointing south = 230 m

Magnitude of vector 3 pointing south of west = 110m

Magnitude of vector 4 pointing north of west = 180 m

Using the polygon law of vector addition we get,

The resultant displacement = vector 1 + vector 2 + vector 3 + vector 4

The resultant displacement = 40 i - 230 j - 110 × cos 30 i - 110 × sin 30 j- 180 × sin 60 j + 180 × cos 60

The resultant displacement = 40 i - 230 j - 95 i - 55 j + 155 j - 90 i

The resultant displacement = ( - 145 i - 130 j )m

To find the angle of the resultant vector we will use tangent trigonometric ratio.

Tan x = (-145)/(-130)

Tan x = (145)/(130)

x = 46° to west of South

Where,

x is the angle made by resultant vector with the vertical axis.

Therefore, the resultant displacement is  ( - 145 i - 130 j )m and the angle made by the resultant is 46° to the west of the South.

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Answer: the time for the car to drive directly south is determined as 7.15 s.

Explanation:

The time for the car to drive directly south is determined by applying the concept of slope.

slope = Δy/Δx

a = Δv/Δt

Δt = Δv/a

Δt = (26.8)/(3.75)

Δt = 7.15 s

Thus, the time for the car to drive directly south is determined as 7.15 s.

Brine is used in a chilled water heat exchanger.

Mass flow of brine = 208.75 lb / min

Heat transferred to brine = 5771.9375 Btu/min

Mass flow rate of water in lb/min = 288.597 lb/min

Mass flow rate of water in gpm = 34.5625 g

1. Mass flow of brine

       1gm = 8.35 lb / min

       Therefore, 25 gm = 25 * 8.35 = 208.75 lb / min

2. Heat transferred to brine = mbrine * Cbrine (T0 – Ti)

                                                   = 208.75 * 0.79 (35 - 0)

                                                   = 5771.9375 Btu/min

3. Heat lost by water = Heat gained by brine

       Mwater * Cwater (Ti - T0) = 5771.9375

       Mwater = 5771.9375 / (1 * (55 - 35)) = 288.597 lb/min

4. Mass flow rate of water = 288.597 / 8.35 = 34.5625 g

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The motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed.

If the person moves at constant velocity, it implies that the velocity is not changing with time. This implies that the person does not change speed and that the acceleration of  the person is zero.

Accordingly, the motion of the person on a velocity time graph would show a flat portion which indicates that there is no change in the speed of the object with time as the person moves.

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The Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.

In order words, it gives fair treatment of justice to its system socially, economically, racially and environmental wise

Environmental justice can simply be defined as the act of being fair to everyone in the environment in aspect of life; be it economically, socially, racially, or even origin wise

This movement of environmental justice is characterized by treating everyone equally regardless of the similarities and differences which exist between nations, countries, individuals, organizations.

For every system who obvserves this impartial movement, they usually, frequently and most of the time gives balanced humanitarian service which helps to promote them in aspect of life as this does not discriminate anyone in any manner

So therefore, the Environmental Justice Movement recognizes that historically environmental burdens are often borne by economic, social and environmental justice.

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Answer:

Third law of motion

Explanation:

because his third law states that for every action (force) in nature there is an equal and opposite reaction. so when the wagon is empty you only have to give a less power

please make my answer as brainelist

Answer:

1.) the distances travelled during each time period are the same

Explanation:

1.) is correct. If the speed is constant, the truck is moving the same distance per every time period. For example, if the truck is moving at 50 miles/hour, the truck will always travel 50 miles per every 1 hour.

2.) is incorrect. Unlike the velocity, speed is non-directional. This means a truck can maintain a constant speed regardless of its orientation.

3.) is incorrect. Acceleration is the rate at which the velocity/speed changes. If the speed is constant, the acceleration is 0.

4.) is incorrect.

Explanation:

An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves without air resistance. What is the object's acceleration at t4 = 5 seconds? Write your answer in component form. just use the formula, if you use formula you will know how to do.

The object's acceleration at t = 5 seconds would be 2 meters/second².

The rate of change of the velocity with respect to time is known as the acceleration of the object.

An object's position in a given coordinate system is described by the vector r = t² i - (3t + 3) j,

assuming the object moves without air resistance.

displacement = t² i - (3t + 3) j

velocity = 2t i -3 j

acceleration = 2i

Thus, the object's acceleration at t = 5 seconds would be 2 meters/second².

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The magnitude of the electric field at the given radial distances from the center of the charge distribution is, For the first case electric field=E₁= 1211.37N/C, For the second case electric field =E₂=762.82 N/C, For the third case electric field= E₃= 3276.7 N/C, For the fourth case electric field=E₄=555.04N/C

Electric field is defined in a way that a field is present in a frame. There is two electric source is present that associated with each other and make the field electrified and source of electric. It can be shown in electric per unit area.

The conducting shell carries a total charge of=Q=−11.9 nC=11.9*10⁻⁹C

A sphere of radius=R =0.280m

A uniform charge density of a sphere=ρ₁= 151 nC/m³= 151×10⁻⁹C/m³

A uniform charge density of a spheric shell,

ρ₂=Q/(4/3)π[(4.00R)³−(3.50R)³]

Or,ρ₂=3Q/4πR³[(4.00)³−(3.50)³]

Or,ρ₂=3*11.9*10⁻⁹/4π(0.280)³[(4.00)³−(3.50)³]

Or,ρ₂=6.15*10⁻⁹ C/m³

We know the law of electric field,

E=(1/4πϵ₀)*(q/r²)

(a) r₁=0.76R

The electric field, in this case, can be given as:

E₁=(1/4πϵ₀)*(q₁/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*{(4/3)πr₁³}/r₁²)

Or, E₁=(1/4πϵ₀)*(ρ₁*(4/3)πr₁)

Or, E₁=9*10⁹*( 151×10⁻⁹*(4/3)π*0.76*0.280)

Or, E₁= 1211.37N/C

According to the calculation, The electric field for this case is, E₁= 1211.37N/C

(b) r₂=3.65R

The electric field, in this case, can be given as:

E₂=(1/4πϵ₀)*(q₂/r₂²)

Here, q₂=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₂=88.488*10⁻⁹C

Now, E₂=(1/4πϵ₀)*(q₂/r₂²)

Or, E₂=(1/4πϵ₀)*(88.488*10⁻⁹/(3.65*0.280)²)

Or, E₂=762.82 N/C

According to the calculation, The electric field for this case is, E₂=762.82 N/C

(c) r₃=2.30R

The electric field, in this case, can be given as:

E₃=(1/4πϵ₀)*(q₃/r₃²)

In this case, electric charge enclosed by the Gaussian surface is given by: q₃=151×10⁻⁹C/m³

Now, E₃=(1/4πϵ₀)*(q₃/r₃²)

Or, E₃=(1/4πϵ₀)*(151×10⁻⁹/(2.30*0.280)²)

Or, E₃= 3276.7 N/C

According to the calculation, The electric field for this case is,  E₃= 3276.7 N/C

(d) r₄=4.50R

Here, q₄=Q+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=11.9*10⁻⁹+(4/3)π[(4.00)³−(3.50)³]

Or, q₄=88.488*10⁻⁹C

Now, E₄=(1/4πϵ₀)*(q₄/r₄²)

Or, E₄=(1/4πϵ₀)*(88.488*10⁻⁹/(4.50*0.280)²)

Or, E₄=555.04N/C

According to the calculation, The electric field for this case is, E₄=555.04N/C

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The frequency of a 1.77-Angstrom x-ray photon is 1.694×10^18hz.

AS, we can see, the wavelength given of x ray photon

[tex]\lambda[/tex]=1.77-Angstrom = 1.77×10^-10

we know the relationship betwee frequency and lambda

c=λν

ν=c/[tex]\lambda[/tex]

ν is frequency , [tex]\lambda[/tex] is wavelength, and c is speed of light

c= 3×10^8m/s

now put the value in equation:

ν= 3×10^8m/s÷1.77×10^-10

ν=1.694×10^18hz

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The time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.

According to Kepler's third law,

[tex]T_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) r³

[tex]T_{m}[/tex] = Time taken by the moon

G = Gravitational constant

[tex]m_{E}[/tex] = Mass of Earth

r = Radius of moon

r' = 2 r

r' = Radius of new moon

[tex]T'_{m} ^{2}[/tex] = ( 4 π / G [tex]m_{E}[/tex] ) ( 2 r )³

[tex]T'_{m} ^{2}[/tex] = 8 ( 4 π / G [tex]m_{E}[/tex] ) r³

[tex]T'_{m}[/tex] = √8 [tex]T_{m}[/tex]

Kepler's third law states that square of time period of a planet's orbit is equal to the cube of semi-major axis of the orbit.

Therefore, the time taken for the new moon to orbit the earth is √8 times the time taken by the present moon.

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The speed of the ball have in falling 3.6 s is 35.5 m/s.

The speed of the ball is calculated using the equation of a body falling under the influence of gravity or velocity of free fall.

The equation of the motion of the body is given as follows:

v = u - gt

where;

u is the initial velocity

g = acceleration due to gravity

t = time

v = final velocity

Assuming u = 0 m/s, g = 9.8 m/s², t = 3.6 s

v = 0 - 9.8 * 3.6

v = 35.5 m/s

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At 10⁻¹⁰ s during the evolution of the universe, quarks formed, which are elementary particles that make up protons and neutrons.

Generally, an atom comprises three (3) distinct subatomic particles and these include the following

Protons can be defined as the positively charged subatomic particles that are found in the nucleus of a chemical element and they have a magnitude of +1. Also, the number of protons in the nucleus of a chemical element always the same as its atomic number.

Quarks can be defined as the elementary particles that make up both protons and neutrons, and they are the basic component of matter. Also, quarks have a charge that's approximately equal to 1.07 × 10⁻¹⁹ Coulomb.

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Complete Question:

At 10⁻¹⁰ s during the evolution of the universe, ________ formed, which are elementary particles that make up protons and neutrons.

The term that describes the given graph is a negative correlation, linear, inversely proportional relationship

Regression evaluation is a similar method for inspecting the connection between a final results variable and one or extra threat elements or confounding variables (confounding is mentioned later). The end result variable is likewise referred to as the reaction or based variable, while the threat elements and confounders are referred to as predictors, explanatory variables, or unbiased variables. The based variable in regression evaluation is indicated with the aid of using "Y," whilst the unbiased variables are denoted with the aid of using "X."

The path of the hyperlink is indicated with the aid of using the signal of the correlation coefficient. The correlation coefficient's price displays the electricity of the hyperlink.

It is vital to spotlight that whilst there can be a non-linear dating among non-stop variables, calculating a correlation coefficient does now no longer display this. As an end result, it's miles usually vital to investigate the statistics well earlier than setting up a correlation coefficient. Graphical representations are very powerful for investigating relationships among variables.

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Answer:

2538263

Explanation:

when I divide it this is the answer I got