What is the magnitude of the instantaneous velocity at 4.00 s?

3135 J of energy is needed to change the temperature of 50g of water by [tex]\rm 15^\circ C[/tex].

Given :

Mass of water is 50g

Change in temperature = [tex]\rm 15^\circ C[/tex]

Solution :

We know that energy needed to increase the temperature of a substance is,

[tex]\rm Q = mC_s \Delta T[/tex]   ---- (1)

where,

m is the mass of the substance,

[tex]\rm C_s[/tex] is the specific heat capacity of the substance,

[tex]\rm C_s = 4.18 \; J/g ^\circ C[/tex]   ---   (specific heat of water)

and [tex]\rm \Delta T[/tex] is the change in temperature.

Now put the values of [tex]\rm m,\;\Delta T\; and \; C_s[/tex]  in equation (1) we get,

[tex]\rm Q = 50\times 4.18 \times 15[/tex]

[tex]\rm Q = 3135\;J[/tex]

3135 J of energy is needed to change the temperature of 50g of water by [tex]\rm 15^\circ C[/tex].

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Answer:

Bulk modulus, [tex]B=2.40\times 10^9\ N/m^2[/tex]

Explanation:

Given that,

The velocity of sound in sea water, v = 1533 m/s

Density of water, [tex]\rho=1.025\times 10^3\ kg/m^3[/tex]

We need to find the bulk modulus. The speed of sound also depends on the bulk modulus of the material. The relationship is given by :

[tex]v=\sqrt{\dfrac{B}{\rho}}[/tex]

[tex]B=v^2\times \rho[/tex]

[tex]B=(1533\ m/s)^2\times 1.025\times 10^3\ kg/m^3[/tex]

[tex]B=2.40\times 10^9\ N/m^2[/tex]

So, the bulk modulus of the sea water is [tex]2.40\times 10^9\ N/m^2[/tex]. Hence, this is the required solution.

Answer:

Passive solar

Explanation:

The Answer is

C. Resonance

LOL EZ CLAP

Given a half-life of 20 minutes for element Z, a 200g sample would undergo eight cycles of reduction by half over 160 minutes, leaving 0.78g of element Z remaining. The element doesn't disappear but transforms into 'daughter elements'.

The concept being discussed here is known as the half-life, which is the time it takes for half the atoms in a sample to decay. In this case, element Z has a half-life of 20 minutes. Given that the half-life is the time it takes for half of a substance to decay, we would use this information to determine the remaining quantity of element Z after 160 minutes.

A 200g sample of Element Z would undergo eight half-life cycles in 160 minutes (20 minutes per cycle). Following the pattern of half-life decay, after each cycle the remaining amount would be 100g, 50g, 25g, 12.5g, 6.25g, 3.125g, 1.56g, and finally 0.78g. So, after 160 minutes, there would be 0.78g of element Z remaining.

Please note that the substance doesn't completely disappear but transforms into decay products or, using the metaphor, 'daughter elements' while element Z is the 'parent' element.

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Frequency of a microwave is 6 × 10⁹ Hz

Given that;

Wavelength of microwave = 5 cm = 0.05 m

Find:

Frequency of a microwave

Computation:

Velocity of microwave = 3 × 10⁸ m/s

Velocity = Frequency × Wavelength

3 × 10⁸ = Frequency of a microwave × 0.05

Frequency of a microwave = 6 × 10⁹ Hz

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Answer: The velocity of the wave is 20m/s

Explanation: The velocity of a wave can be obtained by the equation:

Velocity = wavelenght*frequency.

or v = λ*f

In this case, we know that: λ = 100 meters, f = 0.2Hz (where Hz means 1/s)

then, we have that the velocity of the wave is:

v = 100m*(0.2*1/s) = (100*0.2)m/s = 20m/s

The speed of a wave is mathematically given as

[tex]\lambda= 20m/s[/tex]

Question Parameters:

the speed of a wave with a frequency of 0.2 Hz

and a wavelength of 100 meters

Generally, the equation for the  Wave speed (m/s)  is mathematically given as

[tex]\lambda= frequency (Hz) x wave length (m) \\\\\lambda=0.2 x 100[/tex]

\lambda= 20m/s

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The volume of the gas at [tex]500^{\circ} \text{C}[/tex] is [tex]\fbox{\begin\ 5.576\,{\text{L}}\\\end{minispace}}[/tex].

Further Explanation:

Consider the pressure of the gas to be constant.  

The change in the volume of the gas when the temperature of the gas is varied by keeping the pressure of the gas at a constant value is defined by the Charles' Law.

Concept:

According to the Charles law, the volume of the gas is directly proportional to the temperature of the gas at constant pressure.

The Charles' law can be stated as:

[tex]\fbox{\begin\\V\propto T\\\end{minispace}}[/tex]

The above expression can we written as.

[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]

Convert the temperature of the gas into kelvin.

[tex]T=273+T^\circ\text{C}}}[/tex]

Here, T is the temperature in kelvin and [tex]T^\circ\text{C}}}[/tex] is the temperature in centigrade.  

The initial temperature of the gas is [tex]50^\circ\text{C}[/tex]. The temperature of the gas in kelvin is.  

[tex]\begin{aligned}{T_1}&=273+50\\&=323\,{\text{K}}\\\end{aligned}[/tex]

The final temperature of the gas is [tex]500^\circ\text{C}[/tex] . The temperature in kelvin is.  

[tex]\begin{aligned}{T_2}&=273+500\\&=773\,{\text{K}}\\\end{aligned}[/tex]

Substitute the values of temperature and volume in the expression of the Charles' Law.  

[tex]\begin{aligned}{V_2}&=\frac{{{T_2}}}{{{T_1}}}{V_1}\\&=\frac{{773\,{\text{K}}}}{{323\,{\text{K}}}}\left({2.33\,{\text{L}}}\right)\\&=5.576\,{\text{L}}\\\end{aligned}[/tex]

Thus, the volume of the gas at [tex]500^\circ\text{C}}[/tex] will be [tex]\fbox{\begin\ 5.576\,{\text{L}}\\\end{minispace}}[/tex].

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Answer Details:  

Grade: High school  

Subject: Physics  

Chapter: Gas law  

Keywords:  

Charles law, temperature, volume, initial, final, kelvin, centigrade, 50 C, 500 degree, 500 C, 50 degree, 2,33 L, gas expand, sample, heated.

To solve this, we apply Charles's law, which relates the volume and the temperature of a gas when the pressure is held constant. Temperature values need to be converted to Kelvin, and we solve the equation V1/T1 = V2/T2 to find out the volume of the gas when heated.

To find out to what volume the sample of gas will expand when heated from 50.0°c and 2.33 l to 500.0°c, we can apply Charles's law. Charles's law states that the volume and temperature of a gas have a direct relationship when pressure is held constant. Thus, when the temperature goes up, so will the volume, and vice versa.

In this problem, we start by converting temperatures from Celsius to Kelvin, because Charles's law uses the absolute temperature scale (Kelvin). So, 50°C would convert to 323.15K, and 500°C would convert to 773.15K.

Then, we set up the equation using Charles's law V1/T1 = V2/T2 where V1 = 2.33L, T1 = 323.15K, T2 = 773.15K and V2 is what we want to find. Solving this equation with the given parameters will give us the unknown gas volume V2 at 500°C.

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Doppler effect explains that the approaching sound wave has a shorter apparent wavelength than the sound wave moving away thus the approaching sound wave has a higher pitch than the sound wave moving away.

As a wave is approaching towards an observer is amplitude and frequency increases for the observer. Whereas , when it goes away from the observer, thus when it assume longer wavelength the frequency decreases and the intensity of the wave that the observer collects reduces.

The frequency of a sound wave is called pitch. As the wavelength of the wave increases, its pitch decreases. The apparent wavelength of the sound waves near to the observer will be lower.

When the wave moves away its apparent wavelength increases result in the decreased pitch of the sound waves for the observer.

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If the exhaust system on a heat engine is not functioning properly then burned gases will not be released into the surrounding air. Therefore, option (B) is correct.

An exhaust system can be used to guide reaction exhaust gases away from the controlled combustion in an engine. The entire system delivers burnt gases from the engine and involves one or more exhaust pipes.

An exhaust pipe should be carefully designed to carry toxic gases away from the users of the machine. Generators and furnaces can immediately fill an enclosed space with poisonous exhaust gases such as carbon monoxide, hydrocarbons, and nitrogen oxides.

The gases from most kinds of machines are very hot and the pipe must be heat-resistant. It should not pass near anything that can burn or can be damaged by heat. A chimney also serves as an exhaust pipe in a stationary system.

If the exhaust system is not functioning properly then burned gases will not be emitted into the surrounding air.

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Answer:B)

Explanation:

it would be D   since it would react the opposite of the litmus paper

Answer:

true

Explanation:

Since the circuit is incomplete or not closed, no current flows in the circuit. as per ohm's law , Voltage is directly proportional to current and is given as

V = Voltage = i R where i = current , R = resistance

as no current flows in the circuit, i = 0

the resistance R can not be zero. hence

V = 0 (R)

V = 0 Volts

so the magnitude of the Voltage is zero Volts

Final answer:

Using Coulomb's Law, the electrostatic force between two positive charges of +5.0 · 10^-6 C and +2.0 · 10^-6 C, 0.5 meters apart, is calculated to be approximately 0.0719 Newtons, indicating a repulsive force.

Explanation:

To calculate the electrostatic force between two charges, we use Coulomb's Law, which is expressed as F = k * |q1 * q2| / r2, where F is the force between the charges, k is the Coulomb's constant (approximately 8.987 x 109 N m2/C2), q1 and q2 are the magnitudes of the charges, and r is the distance between the centers of the two charges.

For the charges of +5.0 · 10-6 C and +2.0 · 10-6 C separated by 0.5 meters, we substitute these values into the formula to get the electrostatic force. Therefore, F = (8.987 x 109) * (5.0 x 10-6 * 2.0 x 10-6)/(0.5)2.

After calculating, F equals approximately 0.0719 Newtons. This force is repulsive since both charges are positive.

The true statements as regarding the properties of acids are:

An acid is a substance which dissolves in water to produced hydronium ion as the only positive ion.

Acid is know for it unique properties which differentiate them from other substances. Such properties includes:

With the above information about acids, we can conclude that the correct  statement as given from the options are:

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Both Coulomb's law and Newton's law are inverse laws. In the case of Coulomb's law, the force is inversely proportional to the square of the distance between point charges. In the case of Newton's gravitational law, the force is inversely proportional to the square of the distance between masses.

Coulomb’s law can be described as the force of attraction between two charged bodies or point charges being the multiplication of their charges and is inversely proportional to the square of the distance between them. This force exerts along the line joining of the two-point charges.

The electrostatic force between two point charges can be expressed as:

[tex]{\displaystyle F =k \frac{q_1q_2}{r^2}[/tex]

where k is constant proportionality = 8.99 × 10⁹ N.m²/C².

Newton’s Law can be described as every particle attracting every other particle in the universe with force directly proportional to the product of the masses and inversely proportional to the square of the distance by which they are separated.

The magnitude of gravitational force is given by the following expression:

[tex]{\displaystyle F =G \frac{m_1m_2}{r^2}[/tex]    where G is the universal gravitational constant.

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If the US government does not allow the manufacturer to export their products to Honduras, the manufacturer will lose the non-refundable application fee of $2,700 and because the U.S. government limits trade with Honduras, the manufacturer is required to obtain an export license from the Department of Commerce, which can result to a shortage of demand for US products.

In addition, the total value of product exports must not less than $10800 for the duration of the license so that the application and license fee will be worthwhile. 

The imposition of an export license fee and a nonrefundable application fee can increase costs, reduce profit margins, and impact demand for U.S. manufacturers selling to Honduras.

Obtaining an export license for selling computer equipment to Honduras involves a fee of $8,100, plus a nonrefundable application fee of $2,700. These fees could have several potential effects on the U.S. manufacturer:

For example, if the equipment normally sells for $100,000, adding $10,800 in fees could push the price to $110,800, potentially reducing its attractiveness compared to local or other international sellers.