Temperature
Energy Input
The three states of matter are modeled in the heatind cu
curve seen here. Identify ALL of the changes that must take place for a
substance to change state, from a solid to a gas.
A)
Pressure increases
B)
Temperature increases
19
7
Particles spread apart
D)
Kinetic energy increases
E)
Particle motion increases

Answers

Answer 1

Answer:

Particles spread apart, temperatue increases, pressure increases

Explanation:


Related Questions

A is easier to solve with mental math b. There is more work to be done for B, for both man and machine c. Both problems are of similar difficulty if computational thinking is applied d. All of the above

Answers

The correct option is d. All of the above. All the options are correct and satisfy the conditions mentioned below.

a. A is easier to solve with mental math. This condition is correct because the problem A involves smaller numbers which are easier to manipulate mentally compared to the large numbers involved in B.

b. There is more work to be done for B, for both man and machine. This condition is correct because problem B involves larger numbers which are difficult to handle manually as well as through machines compared to A.

c. Both problems are of similar difficulty if computational thinking is applied. This condition is correct because computational thinking involves breaking down a complex problem into small and manageable parts. Both problems A and B can be solved using computational thinking by breaking down the large numbers into small parts. This makes both the problems of similar difficulty when computational thinking is applied.

Therefore, the correct answer is d. All of the above.

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A proton moving at 6.60 106 m/s through a magnetic field of magnitude 1.80 T experiences a magnetic force of magnitude 7.60 10-13 N. What is the angle between the proton's velocity and the field

Answers

Hi there!

We can use the following equation for a point charge in a magnetic field:


\(\large\boxed{F_B = qv \times B}\)

\(F_B\) = Force due to magnetic field (7.6 × 10⁻¹³N)
\(q\) = Charge of particle (1.6 × 10⁻¹⁹ C)

\(v\) = velocity of particle (6.6 × 10⁶ m/s)

\(B\) = Magnetic field strength (1.8 T)

Or, without the cross product:
\(F_B = qvBsin\theta\)

θ = angle between particle's velocity and field

We can rearrange to solve for theta:
\(\frac{F_B}{qvB} = sin\theta\\\\\theta = sin^{-1} (\frac{F_B}{qvB})\)

Solve for theta:
\(\theta = sin^{-1} (\frac{7.6*10^{-13}}{(1.6*10^{-19})(6.6*10^6)(1.80)}) = \boxed{23.57^o}\)

A bicycle generator rotates at 1600 rad/s, producing an 18.0 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.640 T field. How many turns are in the coil? (b) Is this number of turns of wire practical for a 1.00 by 3.00 cm coil?

Answers

(a) There are 118 turns in the coil

(b)118 turns might be a practical number of turns for a bicycle generator.

(a) To find the number of turns in the coil, we can use the formula for the peak emf generated in a rectangular coil:
emf = NABωsin(ωt)
where N is the number of turns, A is the area of the coil, B is the magnetic field strength, ω is the angular velocity, and t is the time. Since we're looking for the peak emf, sin(ωt) is at its maximum value of 1.
First, calculate the area of the rectangular coil:
A = length × width = 0.01 m × 0.03 m = 0.0003 m²
Now we can rearrange the formula to solve for N:
N = emf / (ABω)
Plug in the given values:
N = 18.0 V / (0.0003 m² × 0.640 T × 1600 rad/s)
N ≈ 118.1 turns
There are approximately 118 turns in the coil.

(b) Whether or not this number of turns is practical for a 1.00 by 3.00 cm coil depends on the thickness of the wire and how tightly it can be wound. However, considering that the coil is small, 118 turns might be a practical number of turns for a bicycle generator.

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Multiple Choice
dentify the choice that best completes the statement or answers the question. (1 point each)
1) The variable plotted on the vertical or y-axis is called the
A) dependent variable
B) independent variable
C) variable with the largest range
variable with the smallest range
D)

Answers

Answer:

A

Explanation:

because you usually have a function such as    y = 2 x^2 +3x + 6

  or  y = 3x -12   or similar .....y DEPENDS on what 'x' is....

A 2.0 kg ball and a 4.0 kg ball are connected by a 3.0-m-long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 25 rpm.
What magnitude torque will bring the balls to a halt in 4.0 s?

Answers

The magnitude of the torque that will bring the balls to a halt in 4.0 s is 2.9425 Nm, counterclockwise.

What is the magnitude of the  torque?

To solve this problem, we need to use the principle of conservation of angular momentum. The angular momentum of the system before the torque is applied is equal to the angular momentum after the torque is applied.

The angular momentum of a rigid body rotating about an axis is given by the formula:

L = Iω

where;

L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

The moment of inertia of a system of particles is given by the formula:

I = Σmr²

where;

m is the mass of each particle, and r is the distance of each particle from the axis of rotation.

The angular velocity is related to the rotational speed by the formula:

ω = 2πn

where;

n is the rotational speed in revolutions per second.

Given the mass and length of the rod, we can calculate the moment of inertia of the system as follows:

I = m1r1² + m2r2²

Therefore, we can use the formula for the moment of inertia of a rod about its center:

I = (1/12)ml²

I = (1/12)(6 kg)(3.0 m)² = 4.5 kg m²

The angular velocity is given as 25 rpm, which is equivalent to 2.617 rad/s.

Therefore, the initial angular momentum of the system is:

L = Iω = (4.5 kg m²)(2.617 rad/s) = 11.77 kg m²/s

To bring the system to a halt in 4.0 s, we need to apply a torque that will reduce the angular velocity to zero in that time. The magnitude of the torque is given by the formula:

τ = ΔL/Δt

where;

ΔL is the change in angular momentum and Δt is the time taken for the change.

Since the final angular momentum is zero, the change in angular momentum is equal to the initial angular momentum. Therefore:

ΔL = -11.77 kg m²/s

Δt = 4.0 s

Substituting these values, we get:

τ = (-11.77 kg m²/s) / (4.0 s) = -2.9425 Nm

Since torque is a vector quantity, we should specify the direction of the torque. Since the system is rotating clockwise, the torque should be applied counterclockwise.

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I WILL MARK BRAINIEST

I WILL MARK BRAINIEST

Answers

Answer:

i think answer b

Explanation:

what do fluorine, sodium, and aluminum have in common

Answers

Both are isoelectronic with Ne; i.e., their outside shells are filled with eight electrons and all have the same number of electrons (that is the isoelectronic part).

Kinematics practice problems Answers: 4. A race car is traveling at +76 m/s when is slows down at -9 m/s2 for 4
seconds. What is his new velocity?
5. An alien spaceship is 500 m above the ground and moving at a constant
velocity of 150 m/s upwards. How high above the ground is the ship after 5
Seconds?

Answers

The new velocity after 4 s is 40 m/s

The height of the spaceship above the ground after 5 seconds is 1,127.5 m

The given parameters for the first question;

initial velocity of the car, u = 76 m/sacceleration of the car, a = - 9 m/s²time of motion, t = 4 s

The new velocity after 4 s is calculated as;

v = u + at

v = 76 + (-9)(4)

v = 76 - 36

v = 40 m/s

(5)

The given parameters;

height above the ground, h = 500 mvelocity of spaceship, u = 150 m/stime of motion, t = 5

The height of the spaceship above the ground after 5 seconds is calculated as;

\(h_y = h_0 + ut - \frac{1}{2}gt^2\\\\h_y = 500 + (150\times 5) - (0.5\times 9.8 \times 5^2)\\\\h_y = 1,127.5 \ m\)

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Variables in physics often include a subscript. What are subscripts used for in physics?

A.) As a numerical coefficient used in multiplication

B.) To accurately juxtapose two congruent terms.

C.) To indicate different versions of the same variable.

D.) To indicate multiplication of the variable.

Answers

Answer:

C.) To indicate different versions of the same variable.

Explanation:

Variables in physics often include a subscript. These subscripts are used for indicating different versions of the same variable in physics.

Basically, subscripts are used to represent the beginning (initial) and ending (final) position or point of a variable in physics.

For example, we would look at Gay Lussac' Law of gases.

Gay Lussac law states that when the volume of an ideal gas is kept constant, the pressure of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Gay Lussac's law is given by;

\( PT = K\)

\( \frac{P1}{T1} = \frac{P_{2}}{T_{2}}\)

Where;

\( T_{1} \) represents the initial temperature.

\( T_{2} \) represents the initial temperature.

\( P_{1} \) represents the initial pressure.

\( P_{2} \) represents the initial pressure.

Note: 1 and 2 are the subscript while T and P are the variables.

9. Thermal energy (heat) is defined as
A. the sum of all the kinetic energies of all the particles in an object
B. the average of all the kinetic energies of all the particles in an object
C. the sum of all the numbers of particles in an object
D. the average number of particles in an object

Answers

Answer:

The correct answer is A. Thermal energy (heat) is defined as the sum of all the kinetic energies of all the particles in an object.

a force of 1.35 newtons is required to accelerate a book by 1.5 meters/second2 along a frictionless surface. what is the mass of the bo

Answers

Hi there!

Recall Newton's Second Law:

\(\large\boxed{\Sigma F = ma}}\)

∑F = Net force (N)

m = mass (kg)

a = acceleration (m/s²)

Rearrange the equation to solve for mass.

Working equation:

\(\large\boxed{m = \frac{F}{a}}\)

Plug in the given values:

\(\frac{1.35}{1.5} = \boxed{.9 kg}\)

What color would a red apple appear to be if you shine a blue light on it?

Answers

If you shine a blue light on a red apple, the apple would appear to be black or very dark. This is because the color of an object is determined by the wavelengths of light that it reflects.

. A red apple appears red because it reflects wavelengths of light that correspond to the color red, while absorbing other wavelengths. When a blue light is shone on the apple, the wavelengths of light that the apple would normally reflect are being absorbed by the blue light, making the apple appear to be a darker color.

This phenomenon is called subtractive color mixing, where the colors of objects are determined by the colors of the light that are absorbed, or subtracted, by the object.

In this case, the blue light is subtracting the colors that the apple would normally reflect, resulting in a darker appearance. It is important to note that the apple is still red, but the blue light is altering our perception of its color due to subtractive color mixing.

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Why is figure 5 an unhelpful visualization tool for this data set?

Please help!

Why is figure 5 an unhelpful visualization tool for this data set? Please help!

Answers

Explanation:

Because the temperature and the radiation are not correlated, they're not represented as functions of each other, they're represented as independent variables thus using graph 5 you cannot figure out how one affect another

Answer:

It doesn’t show how temperature and radiation relate to each other. It’s difficult to draw conclusions from data that’s separated this way.


A train starts from its station and it
velocity reaches 200m/s in 5
seconds. What is its acceleration?

a. 400m/s
b. 40m/s2
c. 4.5m/s2
d. Initial velocity is missing​

Answers

Answer:

b. 40m/s2

Explanation:

Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2

Answer:

B

Explanation:

v = vo + at

200 = 0 + a*5

200 = 5a

a = 200/5 = 40 m/s²

initial velocity (vo) is 0 because it says it start from station

You are preparing a project performance review and have the following measurements at hand: pv= 300; ac = 200; and ev = 250. what do you know about this project?

Answers

Based on the given measurements, we know that the project is ahead of schedule and under budget. However, a more detailed analysis can be performed using additional indicators and measurements.

Based on the given measurements, we can analyze the project's performance using three key indicators: Planned Value (PV), Actual Cost (AC), and Earned Value (EV).

1. PV (Planned Value): PV represents the budgeted cost for the project activities planned to be completed by a specific point in time. In this case, the PV is 300. This means that, according to the project plan, the value of the work to be completed should have been 300.

2. AC (Actual Cost): AC is the actual cost incurred for completing the project activities. Here, the AC is 200. This indicates that the actual cost spent on the project is 200.

3. EV (Earned Value): EV represents the value of the work actually completed at a given point in time. In this scenario, the EV is 250, which indicates that the value of the work completed so far is 250.

From these measurements, we can draw some conclusions about the project's performance:
- The project is ahead of schedule because the EV (250) is greater than the PV (300).
- The project is under budget because the AC (200) is less than the EV (250).
- The project's efficiency can be assessed using indicators such as Schedule Performance Index (SPI) and Cost Performance Index (CPI). In this case, the SPI would be 250/300 = 0.83, and the CPI would be 250/200 = 1.25.

These indices can provide further insights into the project's performance.

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During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 88.0 N/m. If the hose is stretched by 4.20 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length

Answers

Answer:

The work done on the hose by the time the hose reaches its relaxed length is 776.16 Joules

Explanation:

The given spring constant of the of the spring, k = 88.0 N/m

The length by which the hose is stretched, x = 4.20 m

For the hose that obeys Hooke's law, and the principle of conservation of energy, the work done by the force from the hose is equal to the potential energy given to the hose

The elastic potential energy, P.E., of a compressed spring is given as follows;

P.E. = 1/2·k·x²

∴ The potential energy given to hose, P.E. = 1/2 × 88.0 N/m × (4.20 m)²

1/2 × 88.0 N/m × (4.20 m)² = 776.16 J

The work done on the hose = The potential energy given to hose, P.E. = 776.16 J

A frictionless piston-cylinder device as shown in Figure Q4 contains 7.5 liters of saturated liquid water at 275kPa. An electric resistance is installed in it and is being turned on until 3050 kJ of energy is transferred to the water. Assume the piston-cylinder device is well insulated, determine i) the mass of water, kg, ii) the final enthalpy of water, k J/kg, iii) the final state and the quality (x) of water, iv) the change in entropy of water, kJ/kg, and v) whether the process is reversible, irreversible, or impossible. Sketch the process on P−v diagram with respect to the saturation lines.

Answers

A frictionless piston-cylinder device contains 7.5 liters of saturated liquid water at 275 kPa. An electric resistance is turned on until 3050 kJ of energy is transferred to the water.

i) The mass of water can be determined by using the specific volume of saturated liquid water at the given pressure and volume. By using the specific volume data from the steam tables, the mass of water is calculated to be 6.66 kg.

ii) To find the final enthalpy of water, we need to consider the energy added to the water. The change in enthalpy can be calculated using the energy equation Q = m(h2 - h1), where Q is the energy transferred, m is the mass of water, and h1 and h2 are the initial and final enthalpies, respectively. Rearranging the equation, we find that the final enthalpy of water is 454.55 kJ/kg.

iii) The final state and the quality (x) of water can be determined by using the final enthalpy value. The final enthalpy falls within the region of superheated vapor, indicating that the water has completely evaporated. Therefore, the final state is a superheated vapor and the quality is 1 (x = 1).

iv) The change in entropy of water can be obtained by using the entropy equation ΔS = m(s2 - s1), where ΔS is the change in entropy, m is the mass of water, and s1 and s2 are the initial and final entropies, respectively. The change in entropy is found to be 10.13 kJ/kg.

v) The process described is irreversible because the water started as a saturated liquid and ended up as a superheated vapor, indicating that irreversibilities such as heat transfer across a finite temperature difference and friction have occurred. Therefore, the process is irreversible.

On a P-v diagram, the process can be represented as a vertical line from the initial saturated liquid state to the final superheated vapor state, crossing the saturation lines.

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PLEASE HELP
Three charges are on a line. A positive charge is on the far left labeled q Subscript 1 baseline positive 6 Coulombs. The second charge is 2 m away and is labeled q Subscript 2 baseline negative 4 Coulombs. The third charge is 1 m away and is labeled q Subscript 3 baseline = positive 3 Coulombs.


What is the electrical force between q2 and q3?


Recall that k = 8.99 × 109 N•meters squared over Coulombs squared..

1.0 × 1011 N

–1.1 × 1011 N

–1.6 × 1011 N

1.8 × 1011 N

Answers

Answer:

B) –1.1 × 1011 N

Explanation:

Since the second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs, the electrical force between q₂ and q₃ is -1.1 × 10¹¹ N

To answer the question, we need to find the electrical force of attraction between two charges and this is given by Coulomb's law

Coulomb's law

This states that the electrical force of attraction between two charges, F is directly proportional to the product of the charges q and Q and inversely proportional to the square of their distance apart, d.

So, mathematically F = kqQ/d²

Now, given that there are three charges are on a line. A positive charge is on the far left labeled q₁ = + 6 Coulombs. The second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs.

The electrical force of attraction between q₂ and q₃

So, the electrical force of attraction between q₂ and q₃ is F = kq₂q₃/d² where

k = 8.99 × 10⁹ Nm²/C², q₂ = - 4 C, q₃ = + 3 C and d = 1 m (since q₂ and q₃ are 1 m apart)

Substituting the values of the variables into the equation, we have

F = kq₂q₃/d²

F = 8.99 × 10⁹ Nm²/C² × (-4 C) × (+ 3 C)/(1 m)²

F = 8.99 × 10⁹ Nm²/C² × (-12 C²)/(1 m)²

F = -107.88 × 10⁹ Nm²/1 m²

F = -1.0788 × 10¹¹ N

F ≅ -1.1 × 10¹¹ N

Since the second charge is 2 m away and is labeled q₂ = - 4 Coulombs. The third charge is 1 m away and is labeled q₃ = + 3 Coulombs, the electrical force between q₂ and q₃ is -1.1 × 10¹¹ N

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Examples of increase in pressure due to increase in applied force

Answers

Answer:

injecting

Explanation:

If the electrons in an atom were stationary, they would be ___ the nucleus

Answers

Answer:

Matter in the universe is made up of atoms, particles if electrons were to be stationary, they would have fallen into the nucleus because of electrostatic force acting on them destroying very existence of an atom we know.

What does NOT experience gravity?

Answers

Answer:

Astronauts who are orbiting the Earth often experience sensations of weightlessness. These sensations experienced by orbiting astronauts are the same sensations experienced by anyone who has been temporarily suspended above the seat on an amusement park ride. Not only are the sensations the same (for astronauts and roller coaster riders), but the causes of those sensations of weightlessness are also the same. Unfortunately however, many people have difficulty understanding the causes of weightlessness.

. A car starts to move from rest has an acceleration of 3m/s².what will be the velocity and distance travelled by the car after 50sec.​

Answers

Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :

Step 1: Calculate the velocity using the equation:

\(v = u + at\)

where:

- \(v\) is the final velocity

- \(u\) is the initial velocity (0 m/s, as the car starts from rest)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)

Step 2: Calculate the distance traveled using the equation:

\(s = ut + \frac{1}{2}at^2\)

where:

- \(s\) is the distance traveled

- \(u\) is the initial velocity (0 m/s)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)

Now, let's simplify these equations:

\(v = 3 \times 50\)

\(s = \frac{1}{2} \times 3 \times 50^2\)

Calculating the results:

\(v = 150\) m/s

\(s = 3750\) meters

Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.

A student connects a circuit
with a cell, an ammeter, and a
buzzer and listens to the buzzer.
She adds another cell.
Describe and explain what
happens to the current

Answers

Answer:

let the voltages of the cell be V and R the equivalent resistance of the circuit.

 

I1=RV∵ only one cell connected  ;

I2=RV+V=R2V∵ two cells connected in series  ;

I3=RV+RV=R2V∵ two cells connected in parallel ⇒ total current is same as sum of the currents due to each.

Now , 

LHS = 3I3I2=3R2VR2V=3(R24V2) 

RHS = 2I3(I1+I2)=2R2V(RV+R2V)=2R2VR3V=3R2therefore, LHS = RHS   

1. The algebraic letter 'dy' stands for

Answers

I think it’s the derivative of y

a ray of light is traveling in a glass cube that is totally immersed in water. you find that if the ray is incident on the glass-water interface at an angle to the normal greater than 51.9 ∘∘, no light is refracted into the water.

Answers

To summarize, if a ray of light is traveling in a glass cube immersed in water and strikes the glass-water interface at an angle greater than 51.9 degrees, no light is refracted into the water. Instead, it undergoes total internal reflection and remains in the glass.

When a ray of light travels from one medium to another, it can change direction. This phenomenon is called refraction. The angle at which the light ray strikes the boundary between the two media is called the angle of incidence. The angle between the incident ray and the normal (a line perpendicular to the boundary) is denoted as θ.
In this scenario, we have a glass cube completely surrounded by water. The incident ray of light is traveling in the glass cube and strikes the glass-water interface. If the angle of incidence is greater than 51.9 degrees (θ > 51.9°), no light is refracted into the water.
This happens because of the concept of total internal reflection. When the angle of incidence is larger than a critical angle (which is approximately 51.9 degrees for the glass-water interface), all of the light is reflected back into the glass. None of it enters the water.
To summarize, if a ray of light is traveling in a glass cube immersed in water and strikes the glass-water interface at an angle greater than 51.9 degrees, no light is refracted into the water. Instead, it undergoes total internal reflection and remains in the glass.

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If the distance between slits on a diffraction grating is 0. 50 mm and one of the angles of diffraction is 0. 25°, how large is the path difference? nm How many orders of bright lines does this equal for red light with a wavelength of 650 nm? wavelengths.

Answers

The distance the wave traveled between the two-point is the path difference. The path difference will be 2200 nm and 3 orders of bright lines do this equal red light with a wavelength of 650 nm.

What is diffraction grating?

A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.

The equation of diffraction grating is given as

\(\rm n\lambda=dsin\phi\\\\\rm n\lambda=0.50\times10^{-3}\times sin(0.25) \\\\ n\rm \lambda=2.18\times10^{-6} \;m \\\\\rm n\lambda=2200\;nm\)

Hence the path difference will be 2200 nm.

\(\rm n\lambda=2200\;nm \\\\\rm n\times650=2200 \\\\\rm n=3.38\)

n= 3

Hence 3 orders of bright lines do this equal red light with a wavelength of 650 nm.

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The block comes to a stop after traveling a distance L along the rough region. How far along the rough region would the block travel if it had a mass of 2M

Answers

The same distance, L, assuming all other factors (such as the coefficient of friction and the force acting on the block) remain constant.

What is distance?

Distance is the total length covered by an object during its motion. It is a scalar quantity and is measured in units of meters (m) or other units of length.

What is friction?

Friction is the force that opposes the relative motion between two surfaces in contact. It is caused by the interaction of microscopic irregularities in the surfaces and can act in the direction of motion or opposite to it.

According to the given information:

Assuming that the block's initial velocity and the rough region are the same in both scenarios, the distance traveled by the block with a mass of 2M would also be L. This is because the force of friction acting on the block would be proportional to its weight (mass times gravity), so doubling the mass of the block would double the force of friction acting on it. This increased force would counteract the increased inertia of the block and result in the same amount of distance traveled before coming to a stop.

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Which of the following statements describes the electric force between a positive particle and a negative particle as they approach each other?

Answers

Answer:

They will Attract each other and act like magnets

Explanation:

When 2 positive or 2 negative particles are near each other they repel. When 2 neutral particles are together they do nothing, but when a positive and a negative are together their charges sort of overlap each other and they attract.

what is the relationship between wavelength and frequency astro 7n

Answers

In astronomy, as in other fields of science, wavelength and frequency are two important properties of electromagnetic radiation. The relationship between wavelength and frequency can be described by the formula:

c = λν

where c is the speed of light, λ is the wavelength, and ν (nu) is the frequency. This formula states that the speed of light is equal to the product of the wavelength and the frequency.

In general, shorter wavelengths correspond to higher frequencies and longer wavelengths correspond to lower frequencies. This relationship is known as the inverse relationship between wavelength and frequency. For example, gamma rays have the shortest wavelengths and highest frequencies, while radio waves have the longest wavelengths and lowest frequencies.

In astronomy, this relationship is important for understanding the properties of various types of electromagnetic radiation emitted by celestial objects, such as stars, galaxies, and black holes. By measuring the wavelengths and frequencies of this radiation, astronomers can learn about the physical properties and processes occurring in these objects.

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An object that is 0.5 m above the ground has the same amount of potential energy as a spring that is stretched 0.5 m. Each distance is then doubled. How will the potential energies of the object and the spring compare after the distances are doubled? The gravitational potential energy of the object will be two times greater than the elastic potential energy of the spring. The elastic potential energy of the spring will be four times greater than the gravitational potential energy of the object. The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object. The potential energies will remain equal to one another.

Answers

Answer:

The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.

Explanation:

Let U₁ = mgx be the gravitational potential energy of the object and U₂ = 1/2kx² the elastic potential energy of the spring.

Since U₁ = U₂ = U at x = x₀ = 0.5 m.

if x = 2x₀,

The gravitational potential energy is U₃ = mg(2x₀)

= 2mgx₀

= 2U

The elastic potential energy of the spring is U₄ = 1/2k(2x₀)²

= 1/2k × 4x₀²

= 4(1/2kx₀²)

= 4U

Now, U₄/U₃ = 4U/2U = 2

U₄ = 2U₃

So, the elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.

Answer: The answer is C, The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.

Explanation:

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