PE (J)
A 0.155 kg arrow is shot from
ground level, upward at 31.4 m/s.
What is its potential energy (PE)
when it is 30.0 m above the
ground?

Answer:5kgs

Explanation:

Hi there!

We can use the following equation:
\(\large\boxed{V = I R}\)

V = potential difference (? V)
I = Current (16A)
R = Resistance (192Ω)

Plug in the givens and solve:

\(F = 16 \times 192 = \boxed{3072 V}\)

Answer: heat is transferred to and from objects -- such as you and your home -- via three processes: conduction, radiation, and convection.

Explanation:

Hopes this helps!

Consumer Price Index vary over the course of a business cycle It changes according to the desires of the consumers and access to lower-priced goods.

Based on the provided text, the Consumer Price Index (CPI) changes according to the desires of the consumers and access to lower-priced goods. The text mentions that consumers shift their purchases toward products that have fallen in relative price. The objective of the CPI is to calculate the change in the amount consumers need to spend to maintain a constant level of satisfaction.

The passage specifically states that the CPI does not assume that consumers substitute less desirable goods for more expensive ones. Instead, it acknowledges that consumers may move up within a category if the price of a lower-priced item rises more than that of a higher-priced item.

For example, within the beef steaks category, consumers are assumed to move up from flank steak to filet mignon if the price of flank steak rises by a greater amount or falls by less than filet mignon prices.

Therefore, the CPI takes into account consumer preferences and the availability of lower-priced goods. It reflects changes in prices and consumer behavior over the course of a business cycle, considering how consumers adjust their purchasing decisions based on price fluctuations and their desire for maintaining a constant level of satisfaction.

In summary, the CPI varies over the course of a business cycle based on consumer desires and access to lower-priced goods, rather than the availability of goods produced by businesses or the availability of specific items priced the highest.

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The coefficient of kinetic friction on material B is greater than material A, causing an increase in net force on block 2.

The coefficient of kinetic friction between block 1 and material B is greater than that between block 1 and material A, which causes an increase in the net force acting on block 2 as block 1 slides from material A to material B.

This is because the increased friction on material B results in a greater opposing force to the motion of block 1, which in turn causes a greater tension force on the string and therefore a greater net force on block 2.

This effect is due to the properties of the different materials and the interaction between the materials and the block, which ultimately determine the amount of friction present and the resulting force acting on the system.

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Answer:

One is that atmospheric pressure is dramatically reduced at high altitudes, so a helium balloon expands as it rises and eventually explodes. If you inflate a balloon beyond its limits at room temperature, it will break into small pieces up to about ten centimetres long

Explanation:

Answer:

B

Explanation:

quantization of energy is only seen in atoms

Answer:

F' = 162 units

Explanation:

The gravitational force of attraction between the two objects is given by Newton's Gravitational law through the following formula:

\(F = \frac{Gm_{1}m_{2}}{r^{2}}\\\\\)

where,

F = gravitational force = 18 units

G = Gravitational Constant

m₁ = mass of object 1

m₂ = mass of object 2

r = distance between objects

Therefore,

\(18 = \frac{Gm_{1}m_{2}}{r^{2}}------ eqn (1)\\\\\)

Now, if we change the value of distance to one-third of original value, then:

r' = r/3

\(F' = \frac{Gm_{1}m_{2}}{(\frac{r}{3})^{2}}\\\\F' = (9)(\frac{Gm_{1}m_{2}}{r^{2}})\)

using eqn (1):

F' = 9(18 units)

F' = 162 units

Answer:

108 N

Explanation:

Divide the force by uk to get the normal force

(25.7)/(0.238) = 107.98 N = 108 N

Answer:

107

Explanation:

The distribution of the 25 nearest stars is more indicative of a sample of stars in the galaxy as a whole because of their diversity and range of attributes, despite the fact that both the 25 brightest stars and the 25 nearest stars are significant groups of stars. The galaxy's brightest stars are remarkable objects with unique characteristics that are not typical of the galaxy's overall star population.

The distribution of the 25 brightest stars on the Hertzsprung-Russell (HR) Diagram is different from that of the 25 nearest stars. The brightest stars are typically massive, hot, and luminous, and they fall in the upper-left portion of the HR Diagram, in the region of the blue supergiants, main-sequence O and B stars, and the giant and supergiant stars. The nearest stars, on the other hand, include a wide range of stars with varying masses, temperatures, and luminosities, and they are spread across different regions of the HR Diagram.

In general, the distribution of the 25 nearest stars is more representative of a sample of stars in the galaxy as a whole. This is because the nearest stars are a diverse group of stars, including both low-mass and high-mass stars, and they represent a broader range of ages and evolutionary stages than the 25 brightest stars. The nearest stars are also easier to study and observe in detail, which makes them more suitable for studying the properties and characteristics of stars in the galaxy.

The 25 brightest stars, on the other hand, are not representative of the typical star population in the galaxy. They are rare and exceptional objects, with extreme properties that make them stand out from the majority of stars. The brightest stars are often short-lived, with lifetimes of only a few million years, and they are typically located in regions of active star formation, such as giant molecular clouds or stellar clusters.

Therefore, while the 25 brightest stars and the 25 nearest stars are both important groups of stars, the distribution of the 25 nearest stars is more representative of a sample of stars in the galaxy as a whole, due to their diversity and range of properties. The brightest stars are exceptional objects with extreme properties and are not representative of the typical star population in the galaxy.

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Answer:

All other SI units are derived by multiplying, dividing or powering the base units in various combinations, For example: mechanical work is force applied multiplied by distance moved and has the unit newton metre written as Nm.

Explanation:

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It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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Answer:

Explanation:

The formula relating the speed of sound, frequency, and wavelength is:

speed = frequency x wavelength

Rearranging this formula to solve for frequency:

frequency = speed / wavelength

Substituting the given values:

frequency = 342 m/s / 1.8 m

frequency = 190 Hz

Therefore, the frequency of the sound wave is 190 Hz.

Answer:

10000

Explanation:

10 to the 5th power

Answer:

P = density (p) * g * h

P = 1000  kg/m^3 * 9.8 m/s^2 * 40 m = 392,000 N/m^2

since kg m / s^2 = Newtons

The average pressure is 1/2 (pressure at 0m +  pressure 80 m) for liquid of uniform density

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The Correct expression will be :

According to the electromagnetic spectrum and relation between energy and wavelength which is inverse longer the wavelength,lower is the  energy.

The electromagnetic spectrum consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.

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Given that,

Separated in time t = 3.00 μs

Separated in time t' = 9.00 μs

(a). We need to calculate the speed

Using formula of time dilation

\(t'=\dfrac{t}{\sqrt{1-\dfrac{v^2}{c^2}}}\)

\(\dfrac{t}{t'}=\sqrt{1-\dfrac{v^2}{c^2}}\)

\(\dfrac{v^2}{c^2}=1-\dfrac{t^2}{t'^2}\)

\(v=c\sqrt{1-\dfrac{t^2}{t^2}}\)

Put the value into the formula

\(v=c\sqrt{1-\dfrac{3.00^2}{9.00^2}}\)

\(v=0.942c\)

(b). The separation that Mark sees is just the time he sees between the pulse times the speed of light,

Since the first pulse is moving at that speed

We need to calculate the separation in space of the two pulses

Using formula of separation

\(x=ct'\)

Put the value into the formula

\(x=3\times10^{8}\times9\times10^{-6}\)

\(x=2700\ m\)

Hence, (a). The speed of mark relative to Suzanne is 0.942c.

(b). The separation in space of the two pulses is 2700 m.

The work done by the force on the block is approximately 311.2 Joules.

To calculate the work done by the constant force of magnitude F = 45 N over a distance of 8 m at an angle of 30 degrees to the horizontal, we need to find the component of the force that acts parallel to the displacement.

The horizontal component of the force can be calculated using trigonometry:

F_horizontal = F * cos(angle)

            = 45 N * cos(30 degrees)

            = 45 N * (√3 / 2)

            ≈ 38.9 N

Now, we can calculate the work done by the force using the equation:

Work = Force * Distance * cos(theta)

where theta is the angle between the force and the displacement.

Work = F_horizontal * Distance * cos(0)

     = 38.9 N * 8 m * cos(0)

     = 38.9 N * 8 m

     = 311.2 Joules

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Solution :

We assume that there is a ring having a charge +Q and radius r. Electric field due to the ring at a point P on the axis is given by :

\(E_P=\int dE \cos\)

\(E_P=\int \frac{KdQ}{(\sqrt{r^2+x^2})^2}\times \frac{x}{\sqrt{r^2+x^2}}\)

\(\vec{E_P}=\frac{Kx}{r^2+x^2} \int dQ\)

\(\vec{E_P}=\frac{KxQ}{(r^2+x^2)^{3/2}} \hat{i}\)

If we put an electron on point P, then force on point e is :

\(\vec{F}=-|e|\vec{E_P}\)

\(F= \frac{-eKQx}{(r^2+x^2)^{3/2}}= \frac{-eKQx}{r^3[1+\frac{x^2}{r^2}]^{3/2}}\)

If r >> x , then    \($\frac{x^2}{r^2} \approx 0$\)

Then,  \($\frac{-eKQ}{r^3}x$\)

\($ma =\frac{-eKQ}{r^3}x$\)

\($a =\frac{-eKQ}{mr^3}x$\)

Compare, a = -ω²x

We get,

\($\omega^2 = \frac{eKQ}{R^3m}$\)

\($\omega = \sqrt{\frac{eKQ}{r^3m}}$\)

\($2 \pi f = \sqrt{\frac{eKQ}{r^3m}}$\)

\($f = \frac{1}{2 \pi}\sqrt{\frac{eKQ}{mr^3}}$\)

Answer:

Explanation:

Initial velocity of block X

u₁ = 5 v₀ ,

Initial velocity of block Y

u₂ = 0 ,

Final velocity of block X

v₁ = 3 v₀

Final velocity of block Y

v₂ = ?

Mass of block X

m₁ = 4 M

Mass of block Y

m₂ = M .

For elastic collision , velocity for Y is given by the following expression

v₂ = \(\frac{(m_2-m_1)u_2}{ m_2 +m_1} + \frac{2m_1u_1}{m_1+m_2}\)

= \(\frac{(M-4M)\times 0}{ M +4M} + \frac{2\times 4M\times 5v_0}{4M+M }\)

= 8v₀ .

The change in the velocity in a collision can be determined by its initial and final velocities.

After the collision, the velocity of block Y will be 8v0.

Given that Block X has an initial velocity of 5v0, the mass of 4M and has a final velocity after the collision is 3v0.

Block Y has an initial velocity of 0v0 as it is at rest before the collision and has a mass of M.

Let us consider that the initial velocity of block X can be represented by u_x and its final velocity by v_x. The initial velocity of block Y can be represented by u_y and its final velocity by v_y.

Then after the collision, the final velocity of Block Y can be given below.

\(v_y = \dfrac {(M - 4M)u_y} {M+4M} + \dfrac {2\times 4M \times u_x}{M+4M}\)

\(v_y = \dfrac {(-3M)\times 0}{5M} + \dfrac {8M\times 5}{5M}\)

\(v_y = 0 + 8\)

\(v_y = 8 v_0\)

Hence we can conclude that, after the collision, the velocity of block Y will be 8v0.

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Answer:

The atomic number of the element in this notation is 15.

Explanation:

The X notation for an atom provides information about its atomic number and mass number. The atomic number is the number of protons in the nucleus of an atom, which determines its chemical properties and identity as an element. The mass number is the sum of the number of protons and neutrons in the nucleus.

In the notation "32 on 15 X", the number on the top (32) represents the mass number of the atom, which is the total number of protons and neutrons in the nucleus. The number on the bottom (15) represents the atomic number of the atom, which is the number of protons in the nucleus.

Therefore, the atomic number of the element in this notation is 15.

Answer:

\(\pi 1 = \frac{h}{l}\)

\(\pi 2 =\) б / \(l^2gp\)

\(\frac{h}{l} =\) Ф ( б / \(l^2gp\) )

Explanation:

Develop a suitable set of dimensionless parameters for this problem

The set of dimensionless parameters for this problem is :

\(\pi 1 = \frac{h}{l}\)

\(\pi 2 =\) б / \(l^2gp\)

\(\frac{h}{l} =\) Ф ( б / \(l^2gp\) )

and they are using the pi theorem, MLT systems

attached below is a detailed solution

Answer:

B. medical imaging, C. communication technology, and D. air conditioner.

Answer:

The power for the LED stems from the movement of a magnet through a coil of wire on a tube. Each time the magnet moves through the coil of wires, the magnet generates a pulse of electricity. This is what happens when you shake the flashlight. A capacitor allows you to use the flashlight without continuously shaking it.

Answer:

13.75m/s; 42.2m; 8s

Explanation:

(a) the car's velocity after 2.50 s is 13.75 m/s

(b) The distance traveled by the car is 42.18 m

(c)  the time taken for the car to come to complete stop is 8 s.

The given parameters;

mass of the car, m = 2500 kg

initial velocity of the car, u = 20 m/s

breaking applied on the car, f = 6250 N

The acceleration of the car is calculated as follows;

\(F = ma \\\\a = \frac{F}{m} = \frac{6250}{2500} = 2.5 \ m/s^2\)

(a) Using impulse-momentum theorem, the car's velocity after 2.5 s is calculated as follows;

\(F = \frac{m(u-v)}{t} \\\\m(u-v) = Ft\\\\u-v = \frac{Ft}{m} \\\\v = u - \frac{Ft}{m} \\\\v = 20 - \frac{6250 \times 2.5}{2500} \\\\v = 13.75 \ m/s\)

(b) The distance traveled by the car during the 2.5 s;

\(v^2 = u^2 - 2as\\\\2as = u^2 - v^2\\\\s = \frac{u^2 - v^2}{2a} \\\\s = \frac{20^2 - 13.75^2}{2\times 2.5} \\\\s = 42.18 \ m\)

(c) The time taken for the car to come to a complete stop;

when the car stop's the final velocity, v = 0

v = u - at

0 = 20 - 2.5t

2.5t = 20

\(t = \frac{20}{2.5} \\\\t = 8 \ s\)

Thus, the time taken for the car to come to complete stop is 8 s.

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We have that for the Question "In the circuit, the capacitor is fully charged when switch is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitance is =20.0 mF and inductance is =45.0 H ." it can be said that the time required is

From the question we are told

In the circuit, the capacitor is fully charged when switch is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitance is =20.0 mF and inductance is =45.0 H .

Generally the equation for the Time   is mathematically given as

\(T=\sqrt{LC}*\frac{\pi}{4}\)

\(T=\sqrt{20*10^{-3}*45}*\frac{\pi}{4}\)

\(T=0.745s\)

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The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)

Pressure (P) = Density (ρ) × g × Depth (h)

Given: Density of water (ρ) = 1000 kg/m³

Acceleration due to gravity (g) = 9.8 m/s²

Depth (h) = 6 m

Using the given values, one can calculate the pressure:

Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure

= 58800 kg·m⁻¹·s⁻²

Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:

Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)

Pressure = 580.124 atm

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Answer:

Different colour lights (RBG) uses additive properties to bring light of a certain color to our eyes.

Explanation:

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