What percentage of a DC signal passes through a high pass filter? What percentage would pass through a low pass filter?

Answer:

v?

Explanation:

v = ∆s / ∆t

v =?

∆s = 236 - 218 = 18km

=t = 10: 30 - 10:15 = 15 minutes to hour 15/60 = 0.25h

v = 18 / 0.25

v = 72km / h

speed of 72km / h

A gun is fired with muzzle velocity 1099 feet per second at a target 4750 feet away. The minimum angle of elevation necessary to hit the target is approximately 15.2 degrees.

To find the minimum angle of elevation, we can use the equation for the horizontal range of a projectile. The horizontal range is the distance traveled by the bullet in the horizontal direction, which in this case is 4750 feet. The equation for the horizontal range is: R = (v^2 * sin(2θ)) / g

where R is the range, v is the muzzle velocity, θ is the angle of elevation, and g is the acceleration due to gravity.

Rearranging the equation to solve for θ, we have: θ = 0.5 * arcsin((R * g) / v^2). Plugging in the given values, we have: θ = 0.5 * arcsin((4750 * 32.2) / (1099^2))

Evaluating this expression, we find that the minimum angle of elevation necessary to hit the target is approximately 15.2 degrees. This means that the gun should be elevated at an angle of approximately 15.2 degrees above the horizontal in order to hit the target 4750 feet away.

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Answer:

The time between the emission of the wave and it's reception was 0.4 seconds.

Explanation:

The sound wave emitted by the sonar traveled from the boat to the fishes and came back, therefore the distance of it's total route is twice the distance from the boat to the fishes. We can apply the average speed formula in order to solve this problem, this is done below:

\(\text{speed} = \frac{\text{distance}}{\text{time}}\)

We were given the distance traveled by the wave and it's speed, therefore we can solve for the time:

\(\text{time} = \frac{\text{distance}}{\text{speed}}\\\\\text{time} = \frac{(2*300)}{1500}\\\\\text{time} = \frac{600}{1500} = 0.4 \text{ s}\)

The time between the emission of the wave and it's reception was 0.4 seconds.

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 6500 × 0.3

We have the final answer as

Hope this helps you

The energy sources that is most likely to lead to thermal pollution is option C) a hydroelectric plant

Energy production is essential for the modern world, but it often comes at a cost, with various forms of pollution resulting from different energy sources.

Out of the energy sources listed, a coal-fired power plant is most likely to lead to thermal pollution. This is because coal-fired power plants generate electricity by burning coal to heat water and produce steam, which drives a turbine to generate electricity.

Hydroelectric plants generate electricity by using the kinetic energy of falling water to turn a turbine, but the water used for generating electricity is not heated, so there is no thermal pollution.

In conclusion, thermal pollution is a form of pollution caused by energy production that can have harmful effects on aquatic life and the overall ecosystem of a body of water.

Hence the option (c) is correct.

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The two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

In the given case, the figure shows an exaggerated view of a rifle that has been sighted in for a 91.4-meter target. Let the muzzle speed of the bullet be v0 = 427 m/s.

Now, we are required to find the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target.

It is known that the horizontal displacement of the bullet from the gun can be given by the equation: x = v0 t cosθ ..........(i)and the vertical displacement of the bullet from the gun can be given by the equation: y = v0 t sinθ - (1/2) g t^2..........(ii).

Here, t is the time of flight of the bullet and g is the acceleration due to gravity.

As the bullet hits the target, its final vertical displacement from the gun is equal to the height of the target, i.e.,y = 91.4m.Now, we can substitute equations (i) and (ii) in place of t and y in equation (ii) to get:x tanθ - (g/2v0^2) x^2 sec^2θ = 91.4 ..........(iii)This is a quadratic equation in tanθ.

On solving this equation using the quadratic formula, we get:tanθ = [-b ± √(b^2 - 4ac)]/2aWhere,a = -gx^2/(2v0^2) = -4.9x^2/v0^2, b = x, and c = -91.4.

Rearranging the terms, we get:2a tanθ^2 + b tanθ - 91.4 = 0On substituting the given values, we get:2(-4.9x^2/v0^2) tanθ^2 + x tanθ - 91.4 = 0θ1 and θ2 are the two possible angles which can be found by solving the above quadratic equation.

Using the trigonometric identity given in the hint, we can write: sin 2θ = 2 sinθ cos θ = 2 tanθ/ (1 + tan^2θ)Now, we can substitute tanθ = (-b ± √(b^2 - 4ac))/2a in the above equation to get: sin 2θ = (-4bx ± 2x√(b^2 - 4ac))/(b^2 + 4a^2)Now, we can substitute the given values to get: sin 2θ1 = -0.999sin 2θ2 = 0.998.

Thus, we get two values of sin 2θ, one is close to -1 and the other is close to 1. As sin 2θ = -1 when 2θ = -π/2 + nπ and sin 2θ = 1 when 2θ = π/2 + nπ, where n is an integer, we get two possible values of θ for each of these two cases.

Hence, the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

As one of these angles is so large that it is never used in target shooting, we only need to consider the other angle.

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The two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

In the given case, the figure shows an exaggerated view of a rifle that has been sighted in for a 91.4-meter target. Let the muzzle speed of the bullet be v0 = 427 m/s.

Now, we are required to find the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target.

It is known that the horizontal displacement of the bullet from the gun can be given by the equation: x = v0 t cosθ ..........(i)and the vertical displacement of the bullet from the gun can be given by the equation: y = v0 t sinθ - (1/2) g t^2..........(ii).

Here, t is the time of flight of the bullet and g is the acceleration due to gravity.

As the bullet hits the target, its final vertical displacement from the gun is equal to the height of the target, i.e.,y = 91.4m.Now, we can substitute equations (i) and (ii) in place of t and y in equation (ii) to get:x tanθ - (g/2v0^2) x^2 sec^2θ = 91.4 ..........(iii)This is a quadratic equation in tanθ.

On solving this equation using the quadratic formula, we get:tanθ = [-b ± √(b^2 - 4ac)]/2aWhere,a = -gx^2/(2v0^2) = -4.9x^2/v0^2, b = x, and c = -91.4.

Rearranging the terms, we get:2a tanθ^2 + b tanθ - 91.4 = 0On substituting the given values, we get:2(-4.9x^2/v0^2) tanθ^2 + x tanθ - 91.4 = 0θ1 and θ2 are the two possible angles which can be found by solving the above quadratic equation.

Using the trigonometric identity given in the hint, we can write: sin 2θ = 2 sinθ cos θ = 2 tanθ/ (1 + tan^2θ)Now, we can substitute tanθ = (-b ± √(b^2 - 4ac))/2a in the above equation to get: sin 2θ = (-4bx ± 2x√(b^2 - 4ac))/(b^2 + 4a^2)Now, we can substitute the given values to get: sin 2θ1 = -0.999sin 2θ2 = 0.998.

Thus, we get two values of sin 2θ, one is close to -1 and the other is close to 1. As sin 2θ = -1 when 2θ = -π/2 + nπ and sin 2θ = 1 when 2θ = π/2 + nπ, where n is an integer, we get two possible values of θ for each of these two cases.

Hence, the two possible angles θ1 and θ2 between the rifle barrel and the horizontal such that the bullet will hit the target are given by:θ1 = (-1/2) [arctan(2a/(-b - √(b^2 - 4ac))) + π/2 + nπ] andθ2 = (-1/2) [arctan(2a/(-b + √(b^2 - 4ac))) + π/2 + nπ]where n is an integer.

As one of these angles is so large that it is never used in target shooting, we only need to consider the other angle.

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Answer:

The braking distance of the car is 40 m

Explanation:

The two steps are;

1) Calculation (finding) of the initial kinetic energy , K.E., of the car

2) Calculation (finding) of the braking distance from the calculated K.E., of the car

The initial Kinetic energy of the car, K.E. = 1/2×m×v²

Where;

m = The mass of the car = 1,600 kg

v = The velocity of the car = 20 m/s

∴ K.E. = 1/2 × 1,600 kg × (20 m/s)² = 320,000 joules

2) The work done in stopping the car, W = The braking force, 'F' × The braking distance, 'd'

∴ W = F × d

Where;

F = The braking force = 8,000 N

d = The braking distance of the car

By energy conservation principle, the work, 'W', that is required to stop the car = The initial kinetic energy of the car, K.E.

∴ W = K.E. = 320,000 joules

Therefore, by substituting the known values for the variables, we have;

320,000 J = 8,000 N × d

∴ d = 320,000 J/(8,000 N) = 40 m

The braking distance of the car, 'd' = 40 m.

C. They are probably the same temperature. it is likely that both the red book and the blue book are at the same temperature.

The color of an object does not inherently determine its temperature. The perceived color of an object is based on the wavelengths of light it reflects or absorbs. While different colors may have different abilities to reflect or absorb light, this does not necessarily indicate differences in temperature. Without additional information about the books or their exposure to external heat sources, it is reasonable to assume that both books sitting on the table would be at the same ambient temperature. In the absence of any specific heating or cooling mechanisms acting on the books, they would equilibrate with the surrounding environment and reach the same temperature over time.

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Answer:

C is the correct answer.

Explanation:

we have given about light and we have to compare the speed of light in air as well as in glass. So let's take the expression of refractive index of glass. Suppose we are representing a refractive index of glass with respect to air. So this will be equal to the fraction or the ratio of the speed of light in air divided by the speed of light in glass. Hence we get the expression in the modified form as speed of light in glass is equal to speed of light in air, divided by the refractive index of glass with respect to air. So obviously when we consider the refractive index of class with respect to air, it is a number which is more than one. Hence from equation number A we get that the speed of light in glass will be less than that speed of light in air. Hence we can get it the correct answer. As the choice number C means the answer is less. This is our final answer.

Thank you.

Green light has a wavelength of about 510 nm and travels at a speed of 3. 00 × 108 m/s. The frequency of green light, rounded to the nearest tenth and written in scientific notation, is 5.9 × 10¹⁴ Hz.

Light is the name given to the type of electromagnetic radiation that can be detected by the human eye. It's visible light that we can see. When all of the different colors that make up visible light are combined, white light is formed. These colors are red, orange, yellow, green, blue, indigo, and violet.

Light travels at a speed of 299,792 kilometers per second, or 186,282 miles per second. This speed is also referred to as the "speed of light." In a vacuum, the speed of light is constant.How is the frequency of light calculated?The frequency of light is the number of wave cycles that pass a fixed point in space per second. This number is expressed in units of hertz (Hz).

To calculate frequency, divide the speed of light by the wavelength of the light: c = λνWhere,ν is the frequency of lightλ is the wavelength of lightc is the speed of light

Putting the given values in the above formula we get,ν = c/λν = (3.00 × 10⁸ m/s) / (510 nm)Convert 510 nm to meters,1 nm = 1 × 10⁻⁹m510 nm = 510 × 10⁻⁹m = 5.10 × 10⁻⁷mSubstitute the given values,ν = (3.00 × 10⁸ m/s) / (5.10 × 10⁻⁷m)ν = 5.9 × 10¹⁴ HzTherefore, the frequency of green light, rounded to the nearest tenth and written in scientific notation, is 5.9 × 10¹⁴ Hz.

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The battery should be connected to the circuit for 35.6 seconds in order to do 160 J of work while separating charges.

According to the conservation of energy principle, the electrical energy supplied by the battery equals the work done on the charges in the circuit.

The expression that relates electrical energy and work done is W = VIt,

where W is the work done,

V is the voltage of the battery,

I is the current,

and t is the time that the battery is connected to the circuit.

In this particular case, the voltage of the battery is 9.0 V, the current is 0.50 A, and the work done is 160 J.

Using the expression above, we can solve for the time that the battery should be connected to the circuit.

t = W/VI

= (160 J)/(9.0 V x 0.50 A)

= 35.6 s.

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An antiparticle is a subatomic particle that, by definition, has the same mass as its normal particle counterpart but the opposite magnetic moment and electric charge. An electron's antiparticle, for instance, is the positron.

The mass of an antiparticle is equal to that of the particle version, but it has the opposite charge. Antiparticles have opposite charges, baryon numbers, lepton numbers, and strangeness. A subatomic particle known as an antiparticle has the same mass as a particle of regular matter but the opposite electric charge and magnetic moment. Thus, the positron (a positively charged electron) is the opposite of the negatively charged electron.

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Answer:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

Answer:

the 2kg ball

Explanation:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

Explanation:

thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat the flow of thermal energy

Answer:

D. The Acceleration of object A is twice that of Object B.

This is because a force pushing on something light will move faster than an equally strong force pushing on something heavier.

Answer:

1m every 0.28 seconds

Explanation:

she travelled 5 m in 1.4 s, so divide it by itself, 1.4s divided by 5 m gets you 0.28s for 1m

Answer:

The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.

Explanation:

Hope it is helpful....

Answer:

constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.

Energy and matter are both conserved within natural processes. It follows that while energy and matter can adopt different forms, they cannot be produced or extinguished. Different types of matter and energy can combine, and energy and matter frequently cycle within a system.

Explain energy.

Energy is the ability to perform tasks. It could appear in numerous different forms, such as potential, kinetic, thermal, electrical, chemical, nuclear, etc. Additionally, there is heat and work, which is energy being transferred from one entity to another.

The most important source of chemical energy for sustaining life is found in food. The three states of matter—liquid, solid, and gas—are essential because matter and energy move in concert along food networks.

An ice cube composed of water, for instance, changes into liquid water when you add energy, and when you add even more energy, it turns into steam. The type of matter and the quantity of matter are the same as in the original cube, but the level of energy may be higher or lower.

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Answer: magnitude= 2 m/s/s

Explanation: I goes up 2 every second

The angular acceleration is a measure of how quickly the rotational speed of the body is changing.

The expression \(\alpha (t) = 7 + 5t + 8t^2\) represents the angular acceleration of a rotating body as a function of time t.

The constant term of 7 represents the initial angular acceleration of the body, measured in radians per second squared (\(rad/s^2\)). The coefficient of t, 5, represents the rate at which the angular acceleration is increasing with time, measured in radians per second cubed (\(rad/s^3\)). The coefficient of \(t^2\), 8, represents the rate at which the rate of increase in angular acceleration is changing with time, measured in radians per second to the fourth power (\(rad/s^4\)).

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Answer:

Explanation:

Set specific, achievable goals: Break down your larger goal into smaller, more manageable targets that you can work towards each day. When you accomplish these smaller goals, it will give you a sense of accomplishment and motivation to continue working towards your larger goal.

Visualize your success: Imagine yourself successfully achieving your goal and all of the positive feelings that come along with it. This visualization can help keep you focused and motivated when distractions arise.

Find an accountability partner: Find someone who shares your goals and who can help you stay focused and motivated. This could be a friend, family member, or a coach. Having someone to share your progress with and to hold you accountable can be a powerful motivator.

Reward yourself: Set up a system of rewards for yourself when you reach certain milestones on the way to your goal. These rewards could be something as simple as a treat or a movie, or something more substantial like a new piece of workout equipment.

Get organized: Plan out your workouts and stick to a routine. Having a clear plan and structure can help you stay focused and motivated, as you can see how each workout is helping you to reach your goal.

Surround yourself with positive influences: Surround yourself with people who support and encourage your goals. Having positive influences in your life can help you stay motivated and inspired to reach your goals.

According to my research on how microscopes work, I can say that based on the information provided within the question as you move to a higher level of magnification on a microscope the following terms have the following effects

Resolution increases

Working Distance decreases

Amount of Light needed increases

Depth of Field decreases

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Answer:

A) R = 190.42 Ω

B) P = 5.325 W

Explanation:

We are given;

Total power;P_tot = 7.1 W

Voltage;V = 26 V

A)We are told that while the battery is still connected, one of the resistors is heated, so that its resistance doubles.

Thus, the power is doubled.

Now, formula for power is;

P = IV

Thus, since power is doubled, we have;

P = 2(IV)

Now, formula for current is; I = V/R

So, P = 2V²/R

Making R the subject, we have;

R = 2V²/P

In this question, P is p_total = 7.1 W

Thus;

R = (2 × 26²)/7.1

R = 190.42 Ω

B) Now, the resistance of the resistors are R and 2R.

Formula for power in this context is;

P = V²/R

Thus,

Total power delivered to the resistors is;

P = V²/R + V²/2R

P = 3V²/2R

P = (3 × 26²)/(2 × 190.42)

P = 5.325 W

(a) The work function  is 1.98 x 10⁻¹⁹ J.

(b) The threshold frequency is 3 x 10¹⁴ Hz.

(c) The maximum kinetic energy of the most energetic electron is 3.32 x 10⁻¹⁹ J.

(d) Photo-electron would be ejected.

(e) The only constant parameter would be speed of the photon.

(f) The slope of the graph is 6.67 x 10⁻³⁴ J.s

(a) The work function of the experimental photo-missive material is calculated as follows;

Ф = hf₀

where;

Ф = hf₀

Ф = 6.626 x 10⁻³⁴ x 3 x 10¹⁴

Ф = 1.98 x 10⁻¹⁹ J

(b) The threshold frequency of the experimental photo-missive material is the frequency at which the kinetic energy is zero = 3 x 10¹⁴ Hz.

(c) The maximum kinetic energy of the most energetic electron is calculated as;

K.E = E - Φ

K.E = ( 6.626 x 10⁻³⁴ x 8 x 10¹⁴) -  1.98 x 10⁻¹⁹ J

K.E =  3.32 x 10⁻¹⁹ J

(d) The frequency of the photon with a wavelength of 500 nm is calculated as;

f = c/λ

where;

f = ( 3 x 10⁸ ) / ( 500 x 10⁻⁹ )

f = 6 x 10¹⁴

Since the frequency of the incoming photon is greater than  the threshold frequency, photo-electron would be ejected.

(e) If you use a different experimental photo-missive material the only parameter that would be the same on the graph is speed of photon.

(f) The slope of the graph is calculated as;

m = (2.5 eV - 0 eV) / [(9 - 3) x 10¹⁴]

m = (2.5 ev) / (6 x 10¹⁴)

m = (2.5 x 1.6 x 10⁻¹⁹ ) / (6 x 10¹⁴ )

m = 6.67 x 10⁻³⁴ J.s

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The solution to the equation is; x =4 and x = 10

In most cases, the goal is to isolate the variable (usually represented by x) on one side of the equation. To do this, you can use inverse operations (e.g., adding, subtracting, multiplying, or dividing both sides of the equation by the same value) to cancel out any other terms.

If the equation contains more than one variable, you will need to repeat the above steps to solve for the other variables.

Now we have that;

(x – 3)^2 = 49

x^2 - 6x + 9 = 49

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When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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Answer:

\(F_2 = 2000N\)

Explanation:

Given

\(A_1 = 0.005m^2\)

\(A_2 = 0.010m^2\)

\(F_1 = 100N\)

Required

Calculate \(F_2\)

The solution to this question is Pascal's principle of pressure

Pressure is calculated using:

\(Pressure (P) = \frac{Force(F)}{Area(A)}\)

For the input force:

\(P_1 = \frac{F_1}{A_1}\)

Substitute values for F1 and A1

\(P_1 = \frac{100}{0.005}\)

\(P_1 = 20000\)

For the input force:

\(P_2 = \frac{F_2}{A_2}\)

Substitute value for A2

\(P_2 = \frac{F_2}{0.10}\)

The pressure in the system is constant.

So:

\(P_1 = P_2 = 20000\)

Substitute 20000 for P2

\(20000 = \frac{F_2}{0.10}\)

Make F2 the subject

\(F_2 = 20000 * 0.10\)

\(F_2 = 2000N\)

Hence, the output force is 2000N

Answer:

1kg =1000g

2.5kg

D=12m

t=11s

F=2.5KG

Explanation:

work done =f.d

=2.5×12

=30Nm

55-30

average speed

final - initial

divide by time t(s)

Answer:

Force = 533.33N

Explanation:

Given the following data;

Power = 40000watt

Velocity = 75m/s

To find the force;

\( Power = force * velocity \)

Making force the subject of formula, we have;

\( Force = \frac {Power}{velocity}\)

\( Force = \frac {40000}{75} \)

Force = 533.33N