Each shot of the laser gun most favored by Rosa the Closer, the intrepid vigilante of the lawless 22nd century, is powered by the discharge of a 1.89 Fcapacitor charged to 60.9 kV. Rosa rightly reckons that she can enhance the effect of each laser pulse by increasing the electric potential energy of the charged capacitor. She could do this by replacing the capacitor's filling, whose dielectric constant is 431, with one possessing a dielectric constant of 947.

Required:
a. Find the electric potential energy of the original capacitor when it is charged. (in Joules)
b. Calculate the electric potential energy of the upgraded capacitor when it is charged. ( In Joules)

Answer:

mars

Explanation:

it is the fourth planet of the solar system

Answer:

The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.

Explanation:

Answer:  The car starts moving in the positive direction at x = 0.2 seconds. Initially it moves very little, but it covers a greater distance with each time increment.

Explanation: edmentum sample answer

The frequency of light with a wavelength of 655 nm is\(4.57 x 10^14 Hz\) and 515 nm is \(5.82 x 10^14\) Hz and  475 nm is\(6.31 x 10^14 Hz\)

The equation that links the speed of light to wavelength and frequency is

c = λν

Where, c = speed of lightλ = wavelengthν = frequency c is a constant of 2.998 x 10^8 m/s.

Calculating the frequency of light with a wavelength of

655 nm:λ = 655 nm = \(6.55 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(6.55 x 10^-7m)ν = 4.57 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 655 nm is 4.57 x \(10^14 Hz.\)

Calculating the frequency of light with a wavelength of 515 nm:λ = 515 nm = \(5.15 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ =\((2.998 x 10^8 m/s)/(5.15 x 10^-7m)ν = 5.82 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 515 nm is 5.82 x \(10^14 Hz\).

Calculating the frequency of light with a wavelength of 475 nm:λ = 475 nm = \(4.75 x 10^-7\)m Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(4.75 x 10^-7m)ν = 6.31 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 475 nm is 6.31 x \(10^14 Hz.\)

For more question wavelength

https://brainly.com/question/10728818

#SPJ8

The change in volume of the iron ball under the given conditions is therefore approximately -0.00005882 m³.

To calculate the change in volume of an iron sphere subjected to uniform pressure, we can use the bulk modulus of iron and the formula relating the change in pressure and volume. Bulk modulus is a measure of a material's resistance to compression.

With regard to it regarding to it:

Initial volume (V₀) = 100 cm³ = 0.0001 m³

Uniform pressure (P) = 100,000,000 N/m²

Change in volume (ΔV) = ?

The formula for calculating the change in volume is:

ΔV = -V₀ * (P / B)

Where B is the bulk modulus of iron.

The bulk modulus of iron is approximately 170,000,000 N/m².

Enter the values:

ΔV = -0.0001 m³ * (100,000,000 N/m² / 170,000,000 N/m²)

Simplifying the equation:

ΔV = -0.0001 m³ * 0.5882

ΔV ≈ -0.00005882 m³

A negative sign means a decrease in volume.

Please note that this calculation assumes that the iron sphere behaves elastically under applied pressure and that no other factors such as thermal expansion affect the change in volume.

For more such questions on Bulk modulus,

https://brainly.com/question/12910226

#SPJ11

The maximum number of chips is 33,333

What is a chip?

A chip is a tiny but complex modules that store computer memory or provide logic circuitry for microprocessors.

We need to find the number of wafers that can be cut from a single crystal.

The crystal is 25cm and each wafer is 0.3mm. We perform division to get the number of wafers per crystal after getting everything into the same units. 25cm=250mm.

250mm/0.3mm=833.3333 wafers.

Each wafer yields 400 chips so we multiply 400 chips per wafer by 833.33 wafers to get 33,333 chips.

Learn more about chips at: https://brainly.com/question/22738250

#SPJ1

ANSWER:

STEP-BY-STEP EXPLANATION:

The relationship between speed, wavelength and frequency is given by the wave equation, which is the following:

Answer:

Explanation:

F = GMm/d²

F = 6.67259 x 10⁻¹¹(2.39)(0.016) / 0.0681²

F = 5.5019685...x 10⁻¹⁰ N

round as appropriate, probably no more than 3 significant figures.

Value of G seems low, but well within the 3 significant figures of the other numerals. I typically see G = 6.674 x 10⁻¹¹

Answer:

The balloon will collapse

Explanation:

When air is removed from the bell jar, the balloon will collapse if the internal pressure from the balloon does not balance the atmospheric pressure from the surroundings.

Answer:

Inner Transition Metals

Explanation:

The lanthanides and actinides belong to the inner transition metals.

​

Answer:

inner transition elements

Explanation:

In the periodic table to which the lanthanides and actinides metals belong to is inner transition elements because these elements are present in between transition elements.

Answer:

static and current electricity

Answer:

450 since in series we add the resistance

A) The work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.

B) The book is moving at 1.91 m/s at point C.

C) If +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.

(a) To find the work done on the book between points A and B, we need to use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy:

Net work done = change in kinetic energy

The change in kinetic energy can be found by subtracting the initial kinetic energy at point A from the final kinetic energy at point B:

change in kinetic energy = (1/2)mvB^2 - (1/2)mvA^2

where m is the mass of the book, vA is the velocity of the book at point A, and vB is the velocity of the book at point B.

Substituting the given values, we get:

change in kinetic energy = (1/2)(1.50 kg)(1.25 m/s)^2 - (1/2)(1.50 kg)(3.21 m/s)^2

= -5.32 J

Since the final velocity is less than the initial velocity, the change in kinetic energy is negative. Therefore, the net work done on the book between points A and B is also negative. The magnitude of the net work done is:

|net work done| = |-5.32 J| = 5.32 J

Therefore, the work done on the book between points A and B is 5.32 J in the direction opposite to the book's motion.

(b) Since -0.750 J of work is done on the book from point B to point C, we can use the work-energy principle again to find the final velocity at point C:

Net work done = change in kinetic energy

Substituting the given values, we get:

-0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)

Solving for vC, we get:

vC = 1.91 m/s

Therefore, the book is moving at 1.91 m/s at point C.

(c) If +0.750 J of work was done on the book from point B to point C, we would have:

0.750 J = (1/2)(1.50 kg)(vC^2 - 1.25^2 m/s^2)

Solving for vC, we get:

vC = 2.31 m/s

Therefore, if +0.750 J of work was done on the book from point B to point C, the book would be moving at 2.31 m/s at point C.

The given question is incomplete, the complete question is

A 1.50-kg book is sliding along a rough horizontal surface. at point a it is moving at 3.21 m>s, and at point b it has slowed to 1.25 m>s. (a) how much work was done on the book between a and b? (b) if -0.750 j of work is done on the book from b to c, how fast is it moving at point c? (c) how fast would it be moving at c if +0.750 j of work was done on it from b to c?

To know more about work done here

https://brainly.com/question/28204203

#SPJ4

Hi there!

A.

We can calculate the gravitational field strength using the following equation:

\(g = \frac{Gm_p}{r^2}\)

G = Gravitational Constant

mp = mass of planet (kg)

r = radius (m)

Plug in the given values:

\(g = \frac{(6.67*10^{-11})*(5.68*10^{24})}{(6.03*10^7)^2} = \boxed{0.104 N/kg}\)

B.

The force can be calculated using:

\(F_g = \frac{Gm_1m_2}{r^2}\)

Plug in the values:

\(F_g = \frac{(6.67*10^{-11})(5.68*10^{24})(50)}{(6.04*10^7)^2} = \boxed{5.209N}\)

Answer:

\(\boxed {\boxed {\sf g=0.104 \ N/kg \ and \ F_g= 5.2 \ N }}\)

Explanation:

A. Gravitational Field Strength

The gravitational field strength can be calculated using the following formula:

\(g= \frac{Gm}{r^2}\)

G, or the universal gravitational constant, is 6.67 × 10⁻¹¹ N*m²/kg². The mass of Saturn is 5.68 × 10²⁴ kilograms. The radius of Saturn is 6.03×10⁷ meters.

Substitute these values into the formula.

\(g= \frac{ (6.67 \times 10^{-11} \ N*m^2/kg^2) (5.68 \times 10^{24} \ kg)}{(6.03 \times 10^{7} \ m )^2}\)

Multiply the numerator and square the denominator.

\(g= \frac{ 3.78856 \times 10^{14} \ N *m^2/kg }{3.63609 \times 10^{15} \ m^2}\)

Divide.

\(g= 0.1041932405 \ N/kg\)

The original measurements of mass and radius have 3 significant figures, so our answer must have the same. For the number we found, that is the thousandth place. The 1 in the ten-thousandth place tells us to leave the 4 in the thousandth place.

\(\boxed {g \approx 0.104 \ N/kg}\)

B. Force of Gravity

The force of gravity is calculated using the following formula:

\(F_g= mg\)

The mass of the object is 50 kilograms. We just calculated the gravitational field strength, which is 0.104 Newtons per kilogram. Substitute these values into the formula.

\(F_g= (50 \ kg)(0.104 \ N/kg)\)

Multiply. The units of kilograms cancel.

\(\boxed {F_g=5.20 \ N}\)

Answer:

The height of the  object is 5007.4 miles.

Explanation:

Given that,

Weight of object = 200 lb

We need to calculate the value of \(Gmm_{e}\)

Using formula of gravitational force

\(F=\dfrac{Gmm_{e}}{r^2}\)

Put the value into the formula

\(200=\dfrac{Gmm_{e}}{(3958.756)^2}\)

\(200\times(3958.756)^2=Gmm_{e}\)

\(Gmm_{e}=3.134\times10^{9}\)

We need to calculate the height of the  object

Using formula of gravitational force

\(F=\dfrac{Gmm_{e}}{r^2}\)

Put the value into the formula

\(125=\dfrac{200\times(3958.756)^2}{r^2}\)

\(r^2=\dfrac{200\times(3958.756)^2}{125}\)

\(r^2=25074798.5\)

\(r=\sqrt{25074798.5}\)

\(r=5007.4\ miles\)

Hence. The height of the  object is 5007.4 miles.

Answer:

Explanation:

500-0.05=499.95

500-100+5=405

100+100=10000

Answer:

The weight of the pumpkin is 46.793 newtons.

Explanation:

We consider the string-pumpkin system as our system, in which weight of pumpkin create two distinct tensions through cords. The equations of equilibrium are now described:

\(\Sigma F_{x} = -T_{1}\cdot \sin \theta_{1}+T_{2}\cdot \sin \theta_{2} = 0\) (Eq. 1)

\(\Sigma F_{y} = T_{1}\cdot \cos \theta_{1}+T_{2}\cdot \cos \theta_{2} -W = 0\) (Eq. 2)

Where:

\(T_{1}\), \(T_{2}\) - Tension through cords, measured in Newtons.

\(W\) - Weight of the pumpkin, measured in Newtons.

\(\theta_{1}\), \(\theta_{2}\) - Inclination of each cord with respect to the vertical, measured in sexagesimal degrees.

If we know that \(T_{1} = 55\,N\), \(T_{2} = 58\,N\), \(\theta_{1} = \theta\) and \(\theta_{2} = 121^{\circ}-\theta\), the system of equations becomes:

\(-55\cdot \sin \theta +58\cdot \sin (121^{\circ}-\theta) = 0\) (Eq. 1b)

\(55\cdot \cos \theta + 58\cdot \cos (121^{\circ}-\theta) = W\) (Eq. 2b)

From Trigonometry, we remember the following identity:

\(\sin (121^{\circ}-\theta) = \sin 121^{\circ}\cdot \cos \theta -\cos 121^{\circ}\cdot \sin \theta\)

\(\sin (121^{\circ}-\theta) = 0.857\cdot \cos \theta -0.515\cdot \sin \theta\) (Eq. 3)

By applying (Eq. 3) in (Eq. 1b), we get the following expression after expanding and simplifying algebraically:

\(-55\cdot \sin \theta + 58\cdot (0.857\cdot \cos \theta - 0.515\cdot \sin \theta) = 0\)

\(-84.87\cdot \sin \theta +49.706\cdot \cos \theta = 0\)

And we solve the equation for \(\theta\):

\(\tan \theta = \frac{49.706}{84.87}\)

\(\theta = \tan^{-1} 0.585\)

\(\theta \approx 30.328^{\circ}\)

Then, the weight of the pumpkin is: (\(\theta \approx 30.328^{\circ}\))

\(W = 55\cdot \cos 30.328^{\circ}+58\cdot \cos (121^{\circ}-30.328^{\circ})\)

\(W = 46.793\,N\)

The weight of the pumpkin is 46.793 newtons.

The weight of the pumpkin hanging from the two scales is 98.36 N.

The given parameters;

The weight of the pumpkin hanging from the two scales is equal to the resultant of the two scale readings.

The resultant of the two force is calculated as follows;

R² = a² + b² - 2abcos(θ)

R² = 55² + 58²  - 2(55)(58)cos(121)

R² = 9674.7

\(R = \sqrt{9674.7} \\\\R = 98.36 \ N\)

Thus, the weight of the pumpkin hanging from the two scales is 98.36 N.

Learn more here:https://brainly.com/question/11194858

When Sally puts on wool socks and rubs her feet on a nylon carpet, static electricity builds up through a process involving the movement of electrons. The friction between the wool socks and the nylon carpet causes electrons from the wool socks to move to the carpet, resulting in Sally and her socks gaining a negative charge.

The correct answer would be the friction causes electrons from the wool socks to move to Sally, giving Sally a negative charge.

The friction between the wool socks and the nylon carpet causes electrons from the wool socks to move to the carpet, resulting in Sally and her socks gaining a negative charge. This is due to the phenomenon known as the triboelectric effect.

The triboelectric effect occurs when two materials come into contact and then separate. During the rubbing process, the atoms in the two materials interact, causing the transfer of electrons between them. In this case, the wool socks have a greater affinity for electrons compared to the nylon carpet. As a result, electrons from the socks are transferred to the carpet, leaving the socks with a positive charge and the carpet with a negative charge.

Sally, wearing the wool socks, experiences an accumulation of excess electrons on her feet, giving her a negative charge. This excess negative charge on her body can lead to static electricity-related phenomena, such as experiencing a shock when touching a metal object or seeing her hair stand on end when near certain surfaces.

It's important to note that the movement of electrons determines the charge distribution during the triboelectric effect. In this scenario, electrons move from the wool socks to the nylon carpet, resulting in Sally and her socks gaining a negative charge.

For more such information on: friction

https://brainly.com/question/24386803

#SPJ8

We will use the next diagram

Where Fr, is the frictional force, F is the applied force, W is the weight and N is the normal

For a)

We analyze the horizontal forces

Then we analyze the vertical forces

then for the frictional force

Then for the force we have

Then for b)

We

Answer:

a) number of copper atoms 65 (⁶⁵Cu)  is 7.692 10⁶ atoms

b) m_total Cu = 1.585 10⁹ u = 2.632 10⁻¹⁸ kg

Explanation:

a) For this exercise let's start by using the radioactive decay ratio

           N = N₀  \(e^{- \lambda t}\)o e - lambda t

The half-life time is defined as the time it takes for half of the radioactive (activated) atoms to decay, therefore after two half-lives there are

            N = ½ (½ N₀) = ¼ N₀

            N₀ = 4 N

in each decay a photon is emitted so we can use a direct rule of proportions. If an atom emits a photon it has Eo = 1,04 Mev, how many photons it has energy E = 10,000 MeV

          # _atoms = 1 atom (photon) (E / Eo)

          # _atoms = 1 10000 / 1.04

          # _atoms = 9615,4 atoms

          N₀ = 4 #_atoms

          N₀ = 4 9615,4

          N₀=  38461.6  atoms

in the exercise indicates that half of the atoms decay in this way and the other half decays directly to the base state of Zinc, so the total number of activated atoms

          N_activated = 2 # _atoms

          N_activated = 2 38461.6

          N_activated = 76923.2

also indicates that 1% = 0.01 of the nuclei is activated by neutron bombardment

          N_activated = 0.01 N_total

          N_total = N_activated / 0.01

          N_total = 76923.2 / 100

          N_total = 7.692 10⁶ atoms

so the number of copper atoms 65 (⁶⁵Cu)  is 7.692 10⁶

b) the natural abundance of copper is

  ⁶³Cu     69.17%

  ⁶⁵Cu    30.83%

Let's use a direct proportion rule. If there are 7.692 10⁶  ⁶⁵Cu that represents 30.83, how much ⁶³Cu is there that represents 69.17%

                # _63Cu = 69.17%  (7.692 10⁶    / 30.83%)

                # _63Cu = 17.258 10⁶  atom  ⁶³Cu

the total amount of comatose is

              #_total Cu = #_ 65Cu + # _63Cu

              #_total Cu = (7.692 + 17.258) 10⁶

              #_total Cu = 24.95 10⁶

the atomic mass of copper is m_Cu = 63.546 u

          m_total = #_totalCu m_Cu

          m_total = 24.95 10⁶ 63,546 u

          m_total = 1.585 10⁹ u

let's reduce to kg

           m_total Cu = 1.585 10⁹ u (1,66054 10⁻²⁷ kg / 1 u)

           m_total Cu = 2.632 10⁻¹⁸ kg

Answer:

The magnitude of displacement vector 2D-E is approximately 14.49 units. The calculation is done using the Pythagorean theorem after finding 2D-E by multiplying vector D by 2 and subtracting vector E.

Explanation:

The value of 2D-E must first be calculated in order to ascertain the displacement 2D-E's magnitude. Vector D may be multiplied by two to accomplish this, and the result can be obtained by deducting vector E:

2D-E = 2(6i + 3j - k) 4i + 5j + 3k = 8i + 11j - 5k - (4i - 5j + 3k) = 12i + 6j - 2k

We can use the Pythagorean theorem to determine the magnitude of the displacement vector now that we know it:

|2D-E| = √(8² + 11² + (-5)²) = √(64 + 121 + 25) = √210 ≈ 14.49

The displacement 2D-E magnitude is therefore 14.49 units or such. From the object's beginning location to its ultimate position, the displacement's entire length is shown by this. Being a scalar variable, the displacement's magnitude does not reveal the displacement's direction.

To know more About displacement's direction

https://brainly.com/question/218648

Answer:

a break in the circuit can also cause this problem

I. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.

   Ex: You roll a ball. It slows down by friction.

II. Acceleration is produced when a force acts on a mass. The greater the mass (of the object being accelerated) the greater the amount of force needed (to accelerate the object).

    Ex: You cannot kick a brick wall down, but you can kick a soccer                      ball because the brick wall is more massive.

III. For every action there is an equal and opposite re-action.

     Ex:when a rocket lifts off, the rocket's action is to push down on the ground with the force of its engines, and the reaction is that the ground pushes the rocket upwards with an equal force.

Okay, here are the steps to solve this problem:

1) The seesaw is balanced when the sum of moments is 0.

2) The moment created by a force depends on the force and the perpendicular distance from the pivot point.

3) The 20 kg child sits 1 meter from the pivot. So its moment is 20 * 1 = 20 kg*m.

4) We want to find the distance for the 40 kg child to create a moment that balances the 20 kg child's moment.

5) So the moment of the 40 kg child must be 20 kg*m.

6) The moment depends on force and distance. We know the force is 40 kg.

7) So we set: 40 kg * distance = 20 kg*m

8) And solve for the distance: distance = 20 / 40 = 0.5 meters

Therefore, for the seesaw to balance with a 20 kg child 1 meter from the pivot and a 40 kg child on the other side, the 40 kg child should sit 0.5 meters from the pivot point.

Let me know if you have any other questions!

The radius of the sphere decreases by 11 mm when the pressure on its surface is increased by 200 MPa.

To determine the decrease in radius of the spherical volume of water when the pressure on its surface is increased, we can use the equation relating pressure to the radius of a sphere:

ΔP = K/R

Where ΔP is the change in pressure, K is a constant, and R is the radius of the sphere.

In this case, we're given that ΔP (change in pressure) is 200 MPa and the initial radius R is 20.0 cm. We need to find the change in radius ΔR.

We can rearrange the equation to solve for ΔR:

ΔR = K/ΔP

Now, we need to determine the value of the constant K. The constant K depends on the bulk modulus of the material, which is a measure of its resistance to compression. For water, the bulk modulus is approximately 2.2 GPa (gigapascals).

Substituting the values into the equation, we have:

ΔR = (2.2 GPa) / (200 MPa)

To simplify the calculation, we need to convert the units so that they are consistent. Let's convert GPa to MPa:

ΔR = (2.2 GPa * 1000 MPa/GPa) / (200 MPa)

ΔR = 11 mm

Therefore, the radius of the sphere decreases by 11 mm when the pressure on its surface is increased by 200 MPa.

For more such questions on sphere,click on

https://brainly.com/question/30271191

#SPJ11

Answer:

Explanation:

A mixture can usually be separated back into its original components. Some examples of mixtures are a tossed salad, salt water and a mixed bag of M&M's candy.

The period of the orbit of the spacecraft around Venus is 5187.3 seconds.

The period, T, of an object in circular motion is the time taken for one complete revolution.

The period, T, of the planetary body is given as:

\(T = 2\pi\sqrt{\frac{r^{3}}{Gm}}\)

where;

Substituting the values:

\(T = 2\pi\sqrt{\frac{(6.05 \times 10^{6})^{3}}{6.67 \times 10^{ - 11} \times 4.87 \times 10^{24}}} = 5187.8s\)

Therefore, the period of the orbit of the spacecraft is 5187.3 seconds.

Learn more about period of orbit at: https://brainly.com/question/22247460

#SPJ1

The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

Option A.

An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).

The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.

Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

The remaining options do not fit the empty space properly, and they include;

Learn more about electron configuration here: https://brainly.com/question/26084288

#SPJ1