A certain five cent coin contains 5.00 g of nickel. What fraction of the nickel atoms' electrons, removed and placed 1.00 m above it, would support the weight of this coin? The atomic mass of nickel is 58.7, and each nickel atom contains 28 electrons and 28 protons. (answer in ×10^{-11})

Answer:

The number of grains of sand on all the beaches on Earth

Explanation:

if we assume grain of sand has an average size , then the number of grains of sand on all the beaches on Earth is roughly [tex]7.5 \times 10^{18}[/tex]

The total number of stars in the observable universe is roughly equivalent to 1 billion trillion. which is roughly  equal to the number of grains of sand on all the beaches on Earth.

To stop just as the light turns green, the motorist needs to decelerate in a controlled manner. The effective time to cover the distance after seeing the red light is 14 seconds, disregarding the 1 second it takes to react and press the brakes. Therefore, as she reaches the traffic signal when it turns green, her speed is 0 m/s.

This situation can be approached using the concept of kinematics in Physics. To solve it, we need to consider total time and total distance traveled. The motorist is driving towards the traffic light, which is 200m away, and the light stays green for 15 seconds. However, since it takes her 1 second to step on the brakes, effectively, she has 14 seconds to travel to the light.

Since she starts braking the car, she begins to decelerate. While decelerating, time is the only determinant of the distance covered, not the speed. As she reaches the light, the speed would be zero regardless of the initial speed or distance if the deceleration is constant. So, when the light turns green, her speed will be 0 m/s.

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Answer:

B

Explanation:

With projectiles, the maximum range is always achieved at a 45 degree launch angle.

Answer:

Part A 12.9 m/s

Part B 36.9 m

Explanation:

Henrietta ran at 3.95 m/s. She was 6.5 seconds away from from the window when Bruce throws the bagel. This equates to a distance of d

[tex]d= 3.95\times6.5=25.675[/tex] (distance = speed x time)

If Bruce throws the bagel horizontally, the vertical component of the motion is purely under gravity with initial speed of 0 m/s. Using one of the equations of motion for the vertical motion,

[tex]h=ut+0.5at^2[/tex]

h = 39.9 m (height of the building)

a = 9.8 (acceleration of gravity)

[tex]t=\sqrt{\dfrac{2\times39.9}{9.8}}= 2.85[/tex]

During this time, Henrietta will have travelled another distance e

[tex]e =3.95\times2.85=11.2575[/tex]Therefore, Henrietta would have jogged a total distance of 25.675 + 11.2575 m = 36.9325 m.

The horizontal speed with which Bruce must throw the bagel is the total distance travelled by Henrietta divided by the time it takes to land vertically i.e.

[tex]v=\dfrac{36.9325}{2.85}=12.96[/tex]

Therefore, the speed of throw is 13.0 m/s.

Henrietta was 36.9 m from the window when she caught the bagel.

Part A. The speed at which the bagel was thrown horizontally is 12.9 m/s.

Part B. The total distance traveled by Henrietta when she caught the bagel from the window is 36.9325 m.

Given that, the speed of Henrietta is 3.95 m/s. When Bruce throws the bagel, the time difference between both of them is 6.5 seconds. Hence the distance can be calculated as given below.

Distance D = Speed [tex]\times [/tex] Time

[tex]D = 3.95 \times 6.50[/tex]

[tex]D = 25.675 \;\rm m[/tex]

Part A

Given that Bruce throws the bagel horizontally, then during the motion, the initial speed will be zero and the vertical component will have gravitational acceleration. In this case, the time required in motion can be calculated by the equation given below.

[tex]s = ut + \dfrac {1}{2} at^2[/tex]

Where, s is the distance, a is the acceleration, t is time and u is the initial speed.

For the horizontal motion, s = 39.9 m, g = 9.8 m/s^2 and u = 0 m/s. The time will be,

[tex]39.9 = 0 + \dfrac {1}{2}\times 9.8\times t^2[/tex]

[tex]t = 2.85 \;\rm s[/tex]

The time required to reach the bagels is 2.85 seconds. But in this time, the distance traveled by Henrietta is given below.

[tex]D' = 2.85 \times 3.95[/tex]

[tex]D' = 11.2527 \;\rm m[/tex]

Hence the total distance traveled by Henrietta is given below.

Distance = 25.675 + 11.2527

Distance = 36.9325 m.

The speed of the bagel is calculated as given below.

Speed = Total Distance / Time

[tex]v = \dfrac {36.9325 }{2.85}[/tex]

[tex]v = 12.9 \;\rm m/s[/tex]

Hence we can conclude that the speed at which the bagel was thrown horizontally is 12.9 m/s.

Part B

The total distance traveled by Henrietta is 36.9325 m. At this distance, Henrietta catches the bagel from the window.

To know more about the speed, follow the link given below.

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Explanation:

We have equation of motion v = u + at

     Initial velocity, u = 0 m/s

     Final velocity, v = 22.2 m/s    

     Time, t = 3.42 s

     Substituting

                      v = u + at  

                      22.2 = 0 + a x 3.42

                      a = 6.49 m/s²

     Acceleration is 6.49 m/s²

Average acceleration is 6.49 m/s²

Answer:

[tex]r_{P}=2.58 m[/tex]

Explanation:

If we want to find how far up the ladder can a person climb before the ladder begins to slip, the total force in the y-direction and the total torque must be zero, it is an equilibrium condition.

So, let's start whit y-direction forces.

[tex]\Sigma F_{y}=0[/tex]  

[tex]N_{L}-W_{L}-W_{P}=0[/tex]

So, we can find the normal force:

[tex]N_{L}=m_{L}g+m_{P}g=g(m_{L}+m_{P})=9.8(267+1068)=13083 N[/tex]

We know that the friction force is the product of the coefficient of static friction times the normal force. Let's find it.

[tex]F_{f}=\mu N_{L}=0.53*13083=6934 N[/tex]

Referent to the x-direction forces, we can say that the total sum must be equal to zero too.

[tex]\Sigma F_{x}=0[/tex]  

[tex] -N_{wall}+F_{f}=0[/tex]

[tex] N_{wall}=F_{f}=6934 N[/tex]

Now, as we said before, the total torque must be zero, so we have:

[tex]\Sum \tau=\tau_{wall}+\tau_{L}+\tau_{P}=0[/tex] (1)

We will choose the pivot point at the bottom of the ladder, then we have:

Each force acting on the ladder must be perpendicular to the ladder, so we need to use the components.        

[tex]\tau_{wall}=r_{wall}*N_{wall}sin(32.7)=8.6*6934*sin(32.7)=32215.8Nm[/tex] (positive due to the counterclockwise rotation)

[tex]\tau_{L}=r_{L}*W_{L}sin(57.3)=(8.6/2)*2616.6*sin(57.3)=-9468.2 Nm[/tex] (negative due to the clockwise rotation)

[tex]\tau_{P}=r_{P}*W_{P}sin(57.3)=r_{P}*10466.4*sin(57.3)=-r_{P}8807.6 Nm[/tex] (negative due to the clockwise rotation)

We use 57.3° because is the angle between the ladder weight vector and the ladder surface, we use the same angle to the person.

Now we can use (1) to find the distance

[tex]\Sum \tau=\tau_{wall}+\tau_{L}+\tau_{P}=32215.8-9468.2-r_{P}8807.6=0[/tex]

Therefore [tex]r_{P}=2.58 m[/tex]

I hope it helps you!

Answer:

vf = 22.36[m/s]

Explanation:

First we must understand the data given in the problem:

m = mass = 800 [kg]

F = force = 20000[N]

dx = displacement = 10[m]

From newton's second we know that the sum of forces must be equal to the product of mass by acceleration.

[tex]F = m*a\\20000 = 800*a\\a = 20000/800\\a = 25 [m/s^2][/tex]

With the calculated acceleration, we can use the kinematics equations.

[tex]v_{f} ^{2} =v_{o} ^{2}+2*a*dx\\ v_{o} = initial velocity = 0\\a = acceleration = 25[m/s^2]\\dx= displacement = 10[m]\\[/tex]

The key to using this equation is to clarify that the initial velocity is zero since the body is at rest, otherwise the initial velocity would be an initial data.

[tex]v_{f} =\sqrt{2*25*10} \\v_{f} =22.36[m/s][/tex]

Another way of solving this problem is by means of the definition of work and kinetic energy, where work is defined as the product of the force by the distance.

W =F*d

W = 20000*10

W = 200000[J]

Kinetic energy is equal to work, therefore the value calculated above is equal to:

[tex]E_{k}=W =0.5*m*v_{f}^{2} \\200000=0.5*800*v_{f}^{2}\\v_{f}=\sqrt{\frac{200000}{0.5*800} } \\v_{f}=22.36[m/s][/tex]

Answer:

(A) 22.4 m/s

Explanation: hope this helps !

Answer:

(a) 72°

(b) 40°

Explanation:

PENTAGON

First, we calculate the total angles in a Pentagon using:

180(n - 2)

Where n = number of sides of the polygon, in this case, 5.

Hence, the total angle in a polygon is

180(5 - 2) = 180 * 3 = 540°

Therefore, each angle will be:

540°/5 = 108°

Because the interior angle and exterior angle form a straight line (180°), the exterior angle of a regular pentagon will be:

180 - 108 = 72°

The exterior angle of a regular Pentagon is 72°

NONAGON

First, we calculate the total angles in a Nonagon using:

180(n - 2)

Where n = number of sides of the polygon, in this case, 9.

Hence, the total angle in a polygon is

180(9 - 2) = 180 * 7 = 1260°

Therefore, each angle will be:

1260°/9 = 140°

Because the interior angle and exterior angle form a straight line (180°), the exterior angle of a regular nonagon will be:

180 - 140 = 40°

The exterior angle of a regular Nonagon is 40°

Final answer:

Each exterior angle of a regular pentagon, which measures 72 degrees, is greater than each exterior angle of a regular nonagon, which measures 40 degrees, because the sum of the exterior angles of any polygon is always 360 degrees.

Explanation:

The question asks how the measure of each exterior angle of a regular pentagon compares to the measure of each exterior angle of a regular nonagon. To answer this, first, we need to understand that the sum of the exterior angles of any polygon is always 360 degrees, no matter the number of sides. Therefore, to find the measure of each exterior angle of a polygon, we simply divide 360 degrees by the number of sides.

For a pentagon, which has five sides, each exterior angle has a measure of 360 ÷ 5 = 72 degrees. For a nonagon, which has nine sides, each exterior angle has a measure of 360 ÷ 9 = 40 degrees. Therefore, the measure of each exterior angle of a regular pentagon is greater than the measure of each exterior angle of a regular nonagon.

Answer:

D. The net force on an object applied over a distance

Explanation:

Work can be defined as the product of force multiplied by a distance

Where

F = force [Newtons]

d = distance = [meters]

Therefore:

Work = F * d

Work in units of Joules [J]

Answer:

v(t) = 27 units

Explanation:

The function s(t) represents the position of an object at time t moving along a line such that,

[tex]s(2)=146[/tex]

and

[tex]s(6)=254[/tex]

We need to find the average velocity of the object over the interval of time [2,6]. The velocity of the object is equal to the total distance divided by time. It is given by :

[tex]v(t)=\dfrac{s(6)-s(2)}{6-2}[/tex]

[tex]v(t)=\dfrac{254-146}{6-2}[/tex]

v(t) = 27 units

So, the  average velocity of the object is 27 units. Hence, this is the required solution.

Answer:bob

Explanation:bc bob

Answer:

Growth of Bread Mold

Explanation:

The controlled variables are the type of containers used and also the different temperatures.

In Sarah's experiment about the influence of temperature on bread mold, the dependent or responding variable is the growth of bread mold. Her experiment is structured to determine if the mold's growth changes in response to different temperatures.

In Sarah's experiment, the dependent or responding variable is the growth of the bread mold. The dependent variable is what changes or responds based on the changes in the independent variable. In this case, Sarah is checking to see if different temperatures (the independent variable) cause different rates of bread mold growth (the dependent variable). An experiment like this can demonstrate how environmental factors, like temperature, affect living organisms such as mold.

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Explanation:

If a positive test charge is placed in an electric field, it will exert the force in the test charge in the direction of electric field vector. We know that the direction of electric field is given by electric field lines. The field lines for a positive charge is outwards. The electric force acting on the charge is given by :

F = q E

Hence, this is the required solution.

Final answer:

A positive test charge placed in an electric field will experience a force in the direction of the field lines, being repelled by positive charges and attracted to negative charges.

Explanation:

When a positive test charge is placed in an electric field, it experiences a force. This force is in the direction of the electric field lines. So, a positive test charge will be repelled by a positive charge and attracted to a negative charge, consistent with Coulomb's law, which states that like charges repel and unlike charges attract. Additionally, if a positive test charge is placed near two negative charges, it will be attracted towards both, as the electric field lines point towards negative charges.

The electric field vectors point in the direction that a positive test charge would move, which is away from positive charges and towards negative charges. By studying various positions of a test charge and the forces experienced, we can map out these vectors to visualize the electric field.

Answer:

A) zero.

Explanation:

If we go through the throwing motion but still hold onto the ball, then there will be 2 events:

1. you undergo the throwing motion, giving the ball's acceleration  

2. you decelerate the ball so you can still hold onto it  

Event 1 and 2 roughly need the same energy, but with the opposite vector. The sum of energy used for both events should be zero so the net recoil will also be zero too.

Explanation:

We have equation of motion s = ut + 0.5 at²

        Initial velocity, u = 95 m/s

        Acceleration, a = -0.700 m/s²  

        Time, t = 1 minute = 60 seconds

     Substituting

                      s = ut + 0.5 at²

                      s = 95 x 60 + 0.5 x -0.700 x 60²

                      s = 4440 m

      Distance traveled is 4440 m

The airplane travels 4440 m in 1 minute

To find the distance the airplane will travel in 1.00 minute, use the equation d = [tex]vi * t + (1/2) * a * t^2[/tex]e, vi is the initial velocity, t is the time, and a is the acceleration. Substitute the given values into the equation and solve to find the distance.

To find the distance the airplane will travel in 1.00 minute, we need to use the equation:

d = vi * t +[tex](1/2) * a * t^2[/tex]

Where:

d = distance traveled

vi = initial velocity

t = time

a = acceleration

Using the given values:

vi = 95.0 m/s (initial velocity)

a = -[tex]0.700 m/s^2[/tex] (deceleration)

t = 1.00 minute = 60 seconds

Now we can substitute the values into the equation:

d = (95.0 * 60) + (1/2) * [tex](-0.700) * (60^2)[/tex]

Solving this equation will give us the distance traveled by the airplane in 1.00 minute.

Answer:

a) v = 34.5 mph, b)   v = 50 mph

Explanation:

The average speed is defined.

             v = (x₂ -x₁) / (t₂ -t₁)

If the movement is with uniform speed we can also obtain the average speed, averaging the speeds with a time weight factor, if the time is equal for each speed

            v = (v₁ + v₂) / 2

a) For the outward journey

            v = (69.0 +0) / 2

            v = 34.5 mph

b) For the return trip

              v = (69.0 + 31.0) / 2

              v = 50 mph

Answer:

Compression Test

Explanation:

The Specimen is undergoing a compression test. It is similar to tensile test with the difference that the force is compressive and applied along the direction of stress. Both Tensile and compression tests are performed on Universal Testing machine. Compression test is done to determine the product's reaction when it is compressed, squashed and crushed.

Answer:

8.00 kJ

Explanation:

The first thing is to determine what quantities are there.

the mass of water = 1 000 kg

initial velocity, u = 6 m/s

final velocity, v = 4 m/s

the generator is operating at 100 % efficiency, so there is no energy loss.

The kinetic energy, Ek is converted to electrical energy, therefore Ek = electrical energy.

The kinetic energy is calculated as follows:

Ek = 1/2 mv²

    = 1/2×(1 000)× (4)²

    = 8 000 J/s

    = 8.00 kJ  Ans

Answer:

e. 2800 m/s²

Explanation:

Acceleration: This is the rate of change of velocity. The S.I unit of acceleration is m/s²

Applying Newton's equation of motion,

a = (v-u)/t ................................... Equation 1

Where a = acceleration, v = Final velocity, u = Initial velocity, t = time.

Note: Let the direction of the initial velocity be negative, and the direction of the final velocity be positive

Given: v = 26 m/s, u = -30 m/s, t = 20 ms = 0.02 s

Substitute into equation 1

a = [26-(-30)]/0.02

a = (26+30)/0.02

a = 56/0.02

a = 2800 m/s².

Hence the right option is e. 2800 m/s²

Answer:

The correct answer is: Free Jazz.

Explanation:

Free jazz is a music genre developed around the year 1964 and is considered a subgenre of Jazz where musicians are asked to break the traditional conventions related to the interpretation of jazz music.

In free jazz, the most important technique is improvisation, where musicians simply perform and play their instruments freely.

The key to performing free jazz is to try to express spontaneous feelings through the instrument, while not being aware of certain conventions traditional to jazz music.

In this particular case, to the question Which style of jazz music released performers from traditional rules and placed importance on each performer contributing his or her own feelings for the music in the moment, the correct answer is: Free Jazz.

Answer:

neither one has a net force on it

Explanation:

Both vehicles are moving at steady velocity hence the acceleration zero.

since acceleration is zero , the net force on it is zero. therefore neither one has a net force on it

Final answer:

The charge on A should be -2.0 C in order for the force on B to be zero.

Explanation:

In order for the force on charge B to be zero, the charge on A must be equal in magnitude but opposite in sign to the combined charge of charges C and D at the other corners of the square. Since both B and C have a charge of +1.0 C, A must have a charge of -2.0 C. This creates a symmetric distribution of charges, resulting in a net force of zero on charge B.

Answer:

B. 66.4 V

Explanation:

for a Y-Y connection (star connection), the relationship between the line voltages and the phase voltages is governed by the formula:

[tex]V_{L} = \sqrt{3} (V_{ph})[/tex]

Where [tex]V_{L}[/tex] = Line Voltage = 115 V (AC there just shows that the current is alternating current )

and [tex]V_{ph}[/tex] = Phase Voltage

⇒  [tex]V_{ph}[/tex] =  [tex]V_{L}[/tex] / [tex]\sqrt{3}[/tex]

[tex]V_{ph}[/tex] = 115 / [tex]\sqrt{3}[/tex]

[tex]V_{ph}[/tex] = 66.4 V

Hence the secondary Line to neutral voltage is 66.4 Volts

The secondary line to neutral voltage is Option B 66.4 V.

Given that,

Based on the above information, the calculation is as follows:

[tex]V_{ph} = V_L \div \sqrt{3}\\\\= 115 \div \sqrt{3}[/tex]

= 66.4 V

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Answer:

10,624J

Explanation:

KE = 1/2 m*v²

KE = 1/2 83*16²

KE = 41.5*256

KE = 10,624J

Answer:

Signal detection theory

Explanation:

Signal detection theory states that stimulus ca be detected according to its intensity and a person's psychological and/or physical state. This means that we can notice things according to how strong they are but also, a person's characteristics like experience and physiological state like fatigue can affect the ability to detect them.

Because of this, the answer is that according to signal detection theory, the ability to detect a stimulus depends not only on the intensity of the stimulus but also on other variables such as the level of noise in the system and your expectations.

Final answer:

Signal detection theory explains how the ability to detect a stimulus is influenced by both the stimulus intensity and psychological factors such as motivation and expectations, with practical examples like air traffic control demonstrating its significance.

Explanation:

According to signal detection theory, the ability to detect a stimulus depends not only on the intensity of the stimulus but also on variables such as the level of noise in the system and your expectations. Factors such as motivation can shift our ability to discriminate between a true sensory stimulus and background noise. For example, expecting an important phone call may lead you to think you hear the phone ringing while taking a shower, even though it is not. Similarly, a mother might wake up to the quiet murmur of her baby amidst other sounds because she is motivated to detect that specific stimulus.

Signal detection theory is not only a concept of psychological interest but also has practical applications, such as improving the accuracy of air traffic controllers. They need to detect planes among many signals on the radar screen, demonstrating the relevance of this theory in safety-critical professions. Furthermore, the theory incorporates the notion of both absolute threshold and difference threshold (or just noticeable difference), emphasizing the role of sensory capabilities alongside psychological factors in perception.

Answer:

(A) FM Radio had a somewhat shorter ranger than AM radio, but better sound quality.

Explanation:

FM Radio was invented in 1933 by Edwin Armstrong who was an American engineer. FM stands for frequency modulation and AM stands for Amplitude Modulation.

FM is used for most broadcasts of music and FM radio stations use a very high-frequency range of radio frequencies.

In FM Radio, the sound is transmitted through changes in frequency. Both FM and AM radio signals experience frequent change in amplitude, they are far less noticeable on FM.

When switching between stations, FM antenna is alternating between different frequencies, and not amplitudes and this produces a much clearer sound and allows for smoother transitions with little to no audible static.

FM signals can be interfered by barriers and this could affect the signal strength. FM Radio signals are more clearer in a mountainous area that has no barrier.

AM radio was able to carry signals farther than AM radio.

Answer:

The electric field at point a =( 0.232N/c)k

Explanation:

E = E1+E2=(6/2Eo)K+(-6/2Eo)[1-(2/(sqrtz^2+R^2)k

E= 6z/2Eo(sqrtz^2+R^2)k

E= (4.5×10^-12)×(2.56×10^-2) /2(8.85×10^-12)sqrt(2.56×10^-2)^2+(1.30×10^-2)^2k

E= 1.152×10^-13/(1.77×10^-11)×(2.8×10^-2)k

E= 1.152×10^-13/(4.956×10^-13)k

E=( 0.232N/c)K

Explanation:

Radius , r = 7 m

Centripetal acceleration, a = 2.25 g = 22.07 m/s²

We have equation for centripetal acceleration

              [tex]a=\frac{v^2}{r}[/tex]

Substituting

              [tex]a=\frac{v^2}{r}\\\\22.07=\frac{v^2}{7}\\\\v=12.43m/s[/tex]

We have equation for frequency

             [tex]f=\frac{2\pi }{\omega }\\\\f=\frac{2\pi r}{v}\\\\f=\frac{2\pi \times 7}{12.43}=3.54Hz[/tex]

Revolutions per minute = 3.54 x 60 = 212.4

Revolutions per minute of rider is 212.4

Answer:[tex]\vec{C}-\vec{B}[/tex]

Explanation:

Given

[tex]\vec{A}[/tex] is displacement of student from Hostel to house

[tex]\vec{B}[/tex] is displacement of student from house to school

And [tex]\vec{C}[/tex] is displacement of student from Hostel to school    

According to the triangle law of vector addition  

If two vectors are acting on a body simultaneously that are shown by magnitude and direction by two sides of a triangle taken in order then the third side is the resultant of two vectors that are taken in opposite direction.

[tex]\vec{A}+\vec{B}=\vec{C}[/tex]

[tex]\vec{A}=\vec{C}-\vec{B}[/tex]

so option c is correct

Answer:

The solution are in the explanation  

Explanation:

Volume varies with the cube of the linear dimension

Ratio of volumes is 3:1, therefore the ratio of the linear dimensions is 3^(1/3):1 = 1.442:1

Smaller statue is 350/1.442 cm = 242.7 cm

C = pi*D, D is a linear dimension, so Ds = 50/1.442 = 34.67 cm

Area varies with the square of the linear dimension; so the ratio of the areas will be (1/3)^(2/3) = 0.48; the surface area of the smaller statue will be 0.48 that of the original

The mass of the model would vary directly with the volume, so the mass of the model will be 1/3 that of the original

If the masses of the models are the same, then the model must be made of a material 3x the density of that used for the original.

In mathematics, scaling down a shape involves reducing its size while keeping its shape unchanged. To scale down a statue, you need to determine the scale factor by dividing the final volume by the initial volume. Then, apply the scale factor to each dimension of the statue.

In mathematics, scaling down a shape means reducing its size while keeping its shape unchanged. The process involves multiplying the dimensions of the shape by a scale factor less than 1.

In this case, the initial volume of the statue is 3.25 m3 and it needs to be scaled down to a final volume of 1.00 m3. To determine the scale factor, divide the final volume by the initial volume: 1.00/3.25 = 0.307.

Next, apply the scale factor to each dimension of the statue. If the dimensions of the statue were 2m x 2m x 2m, the scaled-down dimensions would be 2m x 2m x 2m x 0.307 = 0.614m x 0.614m x 0.614m.

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