given the following velocity function of an object moving along a​ line, find the position function with the given initial position. ​v(t)​; ​s(0) question content area bottom part 1 the position function is ​s(t)

One minute has 60 seconds, One hour has 60 minutes and one day has 24 hours. Thus, 80 x 60 x 24 = 86,400 seconds in a day.

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The excess pressure within water droplets with a diameter of 49.6 µm is approximately 2688.89 Pa, calculated using the surface tension and the radius of the droplets.

The excess pressure within water droplets can be calculated using the Laplace's law, which states that the excess pressure is inversely proportional to the radius of the droplet.  The formula for calculating the excess pressure (P) is given as: P = 2σ/r where σ is the surface tension of water and r is the radius of the droplet.

Given that the diameter of the droplets is 49.6 µm, we can calculate the radius (r) as:

r = 49.6 µm / 2 = 24.8 µm = 24.8 × 10^-6 m

Substituting the values into the equation, we have:

P = 2 × 0.06692 N/m / (24.8 × 10^-6 m)

P = 2.6889 × 10^3 Pa

Rounding the answer to two decimal places, the excess pressure within these water droplets is approximately 2688.89 Pa.

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Answer:

1305 I think but not sure

Explanation:

using Ohm's law which is defined as V=IR

where V is the voltage, I is the current and R the resistance

Answer:

b. 220 V

Explanation:

Let resistors be R1, R2, and R3 respectively.

Given the following data;

R1 = 20 ohms

R2 = 30 ohms

R3 = 60 ohms

Current = 2 Amperes

To find the voltage;

First of all, we would determine the total effective resistance (RT).

For series circuit;

RT = R1 + R2 + R3

RT = 20 + 30 + 60

RT = 110 Ohms

Next, we find the voltage using the formula;

Voltage = current * resistance

Voltage = 2 * 110

Voltage = 220 Volts

Answer:

38.024 KWh

Explanation

250 watts multiplied with 5 hours daily multiplied with 28 days monthly equals 35000 Watt hours. Divided by a 1000 to get the KWh equals 35 KWh.

= 250×5hrs× 28days

= 35000watts

= 35000/1000

= 35KWh

Four 6 watt lightbulbs equals 24 watts 4x6=24

Hence, 24×4.5hrs×30days

= 3024watts

= 3024/1000

= 3.024KWhr

The total amount of energy consumed in the month of February = 35 KWh + 3.024 KWh = 38.024 KWh

Note that I had to use 28days since we are considering the month of February.

The four dimensions are volume, diversity, velocity, and truth, according to IBM data experts.

D is the ideal choice.

volume, variety, speed, and reliability

Big data is divided into four aspects by IBM data scientists: quantity, diversity, speed, and truthfulness. This infographic describes each and provides examples.

Volume, the first of the five "V's" of big data, refers to the total amount of data. Volume is similar to the foundation of big data because it represents the initial size and volume of data that is gathered. Big data can be used to describe data that is sufficiently enormous in volume.

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Answer:

You take the basic formula of E = I x R, solve for R -> R = E / I. In other words, take the required voltage drop (in volts) and divide by the current (in amps) in the resistor and determine the resistance (R) in ohms.

Explanation: hope this helps

Answer:

Energy = 780 Joules

Explanation:

Given the following data;

Power = 78 Watts

Time = 10 seconds

To find the energy transferred;

Energy refers to the amount or quantity of power which is being consumed by an individual, group of people or organization over a specific period of time.

Mathematically, energy is given by the formula;

Energy = power * time

Energy = 78 * 10

Energy = 780 Joules

Therefore, the amount of energy the turbine transferred is 780 Joules

The gradient of the line is equal to c/m

The gradient of the line on the graph represents the change in temperature T per unit change in thermal energy Q. Mathematically, we can express this as:

gradient = ΔT / ΔQ

We know that the specific heat capacity c of the block is defined as the amount of thermal energy required to raise the temperature of the block by one unit, divided by the mass of the block. Mathematically, we can express this as:

c = ΔQ / (mΔT)

Rearranging this equation, we get:

ΔQ / ΔT = c/m

Comparing this equation with the equation for the gradient, we can see that the gradient is equal to c/m. Therefore, the answer is (A) c/m.

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It is the second provided answer.

Speed is the change in distance over time; velocity is speed plus direction.

Answer:

800 joules

Explanation:

In physics, work is defined as

F = W x d (change)

Where  is the word done,  is the force that move the object and  is the change of the position of the object.

In this case, we have

F = 200 N

d= 6m - 2m = 4m , remember that the difference refers to the actual subtraction between the final point and the initial point of the object.

Replacing these values, we have

W = 200 N x 4m

W = 800 joules

Answer:

Liquid water is essential for life to exist. Water can occur in a liquid state only within a specific temperature range, so knowing the temperature range on a planet will help astronomers predict whether life exists on that planet.

Explanation:

v=?, u=0, a=?, S=22m.

Using the formula, S=ut+½at²

22={0×5}+(½.a.5²)

22=½.a.5²

a=44/25 = 1.76m/s².

Therefore, net force = work done = ma = 48×1.76 = 84.48N.

therefore, power = work done/time = 84.48/5 = 16.896W.

hope this helps you.

Answer:1720m

Explanation:

Uh

AC power alternates polarity allowing reverse plug orientation, but DC power in batteries only flows in one direction, causing failure.

You can often reverse the plug in the wall because it is an AC. However, a battery is a DC.

When you plug a device into a wall outlet, it is using alternating current (AC) power is constantly changing polarity, which means that the voltage is constantly going from positive to negative and back again. This is why you can reverse the orientation of the plug without any problem, as the device will still be receiving power that alternates in both directions.

On the other hand, batteries are direct current (DC) power sources. DC power only flows in one direction, from the positive terminal to the negative terminal. If you put a battery in backward, the current will not flow through the device properly, and it will not work.

Therefore, the reason why you can often reverse the orientation of the plug with no problem is due to the nature of AC power, which constantly changes polarity. Conversely, the reason why you cannot put a battery in backward is because it is a DC power source, and the current only flows in one direction.

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The average kinetic energy of 1 mole of neon gas at 417 K is approximately 1.38 × 10^−23 J

The average kinetic energy of a gas molecule can be determined using the formula:

KE_avg = (3/2) * k * T,

where KE_avg is the average kinetic energy, k is the Boltzmann constant (1.38 × 10^−23 J/K), and T is the temperature in Kelvin.

To calculate the average kinetic energy of 1 mole of neon gas at 417 K, we need to convert the temperature to Kelvin and use the given value of the Boltzmann constant. Since 1 mole of any gas contains Avogadro's number (6.022 × 10^23) of molecules, we can use this information to calculate the average kinetic energy.

Substituting the values into the formula, we have:

KE_avg = (3/2) * (1.38 × 10^−23 J/K) * (417 K) = 1.38 × 10^−23 J.

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Answer:

di ko po alam ang sagot baka

po pang grade 9 po yan

Explanation:

sana po magets nyo po

The total time the balls are in the air is 2.77 s.

The correct answer is option E.

To calculate the total time the ball is in the air, we need to analyze the vertical motion of the ball. Let's consider the given values:

Height of the taller platform (H1) = 6.0 m

Height of the shorter platform (H2) = 3.6 m

Horizontal speed of the ball (ux) = 15 m/s

We can neglect friction for this calculation. Since the ball rolls off the taller platform horizontally, the initial vertical velocity (uy) is zero. We can use the following equation to calculate the time of flight:

H = ut + (1/2)\(gt^2\)

Phase 1: Upward motion

In this phase, the ball moves vertically against the force of gravity. The acceleration due to gravity (g) is approximately 9.8 m/s^2. The initial vertical velocity (uy) is zero.

Using the equation of motion:

H1 = (1/2)\(gt^2\)

6.0 = (1/2)(\(9.8)t^2\)

12.0 =\(4.9t^2\)

\(t^2\) = 12.0 / 4.9

\(t^2\) ≈ 2.449

t ≈ \(\sqrt{2.449}\)

t ≈ 1.564 s

Phase 2: Downward motion

In this phase, the ball moves vertically downward. The final velocity in the upward phase (when it reaches the top of the shorter platform) is zero. We can calculate the time it takes to fall from the shorter platform using the same equation:

H2 = (1/2)g\(t^2\)

3.6 = (1/2)(9.8)\(t^2\)

7.2 = 4.9\(t^2\)

\(t^2\) = 7.2 / 4.9

\(t^2\) ≈ 1.469

t ≈ \(\sqrt{1.469}\)

t ≈ 1.212 s

Total time:

The total time the ball is in the air is the sum of the times for phase 1 and phase 2:

Total time = t1 + t2

Total time ≈ 1.564 + 1.212

Total time ≈ 2.776 s

Therefore, among the given options the correct one is option E.

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The question probable may be:

The diagram represents two horizontal platforms that are different height levels above ground ball rolls off the taller platform with a horizontal speed of 15 m/s in travels through the air landing on top of the short a platform. What is the total time the ball is in the air where H1 =6.0 m H2= 3.6m (NEGLECT FRICTION)

A.0.16 s

B. 0.70 s

C.0.49s

D. 1.1 s

E. 2.77 s

The conservation of the momentum allows to find the velocity of the second body after the elastic collision is:

           \(v_f = \frac{2u_o}{1- \frac{m_2}{m_1} }\)  

the momentum is defined by the product of the mass and the velocity of the body.

        p = mv

The bold letters indicate vectors, p is the moment, m the mass and v the velocity of the body.

If the system is isolated, the forces during the collision are internal and the it  is conserved. Let's find the momentum is two instants.

Initial instant. Before crash.

      p₀ = m₁ u₀ + 0

Final moment. After crash.

      \(p_f = m_1 u_f + m_2 v_f\)  

The momentum is preserved.

      p₀ = \(p_f\)  

      \(m_1 u_o = m_1 u_f + m_2 v_f\)  

Since the collision is elastic, the kinetic energy is conserved.

      K₀ = \(K_f\)

      ½ m₁ u₀² = ½ m₁ \(u_f^2\)  + ½ m₂  \(v_f^2\)  

Let's write our system of equations.

       \(m_1 u_o = m_1 u_f + m_2 v_f \\m_1 u_o^2 = m_1 u_f^2 + m_2 v_f^2\)

Let's solve

       \(u_f = u_o - \frac{m_2}{m_2} \ v_f \\u_f^2 = u_o^2 - \frac{m_2}{m_1} \ v_f^2\)

       \(( u_o - \frac{m_2}{m_1} v_f)^2 = u_o - \frac{m_2}{m_1} \ v_f^2 \\u_o^2 - 2 \frac{m_2}{m_1} \ u_o v_f + (\frac{m_2}{m_1} )^2 v_f^2 = u_o^2 - \frac{m_2 }{m_1} \ v_f^2\)  

        \(2 \frac{m_2}{m_1} \ u_o = \frac{m_2}{m_1} v_f \ ( 1 - \frac{m_2}{m_1}) \\v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }\)

In conclusion, using the conservation of momentum, we can find the velocity of the second body after the elastic collision is:

           \(v_f = \frac{2u_o}{1-\frac{m_2}{m_1} }\)  

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Answer: R1 is 52.94 Ohms.

Explanation:

To determine the current and resistance values for each resistor, utilize Ohm's Law.

R+ = 53.00 Ohms is the total resistance.

IT = VT/R+ = 36.00V/53.00 Ohms = 0.68 A is the total current.

I1 = V1/R1, the current flowing through resistor 1.

V2 = I2 * R2 = 12A * 8 Ohms = 96 V is the voltage across resistor 2.

V3 = I3 * R3 = 13A * 10 Ohms = 130 V is the voltage across resistor number three.

You currently possess all the values required to solve for R1. You can apply Ohm's Law once more:

V1 = I1 * R1 Resistor = V1 / I1 36.00 V / 0.68 A 52.94 Ohms

A mass traveling at speed strikes a stationary mass head on and the two masses stick, the final total kinetic energy (Kf) is given as

Kf = (m1 * \(v1^{2}\)) / 2(m1 + m2)

When a mass traveling at speed strikes a stationary mass head-on and the two masses stick together, the final total kinetic energy can be determined by considering the conservation of momentum.

Let's denote the initial mass traveling at speed as m1 and the stationary mass as m2. Their initial velocities can be represented as v1 and v2, respectively. Since the masses stick together, they will move with a common final velocity, which we'll denote as vf.

According to the conservation of momentum, the total initial momentum of the system is equal to the total final momentum:

(m1 * v1) + (m2 * v2) = (m1 + m2) * vf

Since the stationary mass has an initial velocity of 0 (v2 = 0), the equation simplifies to:

m1 * v1 = (m1 + m2) * vf

To determine the final total kinetic energy, we need to calculate the final velocity (vf) first. Rearranging the equation, we have:

vf = (m1 * v1) / (m1 + m2)

Once we have the final velocity, we can calculate the final total kinetic energy (Kf) using the equation:

Kf = (m1 + m2) * (\(vf^{2}\)) / 2

Substituting the expression for vf, we get:

Kf = (m1 + m2) * [(m1 * v1) / \((m1 + m2)^{2}\) / 2

Simplifying further:

Kf = (m1 * \(v1^{2}\)) / 2(m1 + m2)

This equation assumes without any energy losses due to friction or other factors. It also assumes that there are no external forces acting on the system. In real-world situations, energy losses might occur, so the actual final total kinetic energy could be lower than the calculated value.

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a) y(t) = te⁻³ᵗ is a possible position function.

b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).

c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.

a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:

y(t) = te⁻³ᵗ

y'(t) = e⁻³ᵗ - 3te⁻³ᵗ

y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ

Substituting these expressions into the differential equation, we have:

-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ

Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.

b) The general equation for all possible position functions can be written as:

y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)

c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:

3 = C₁ + C₂

-7 = -2C₁ - 3C₂

Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.

The exact motion equation for the weight is:

y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)

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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ

y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ

a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.

b) Find a general equation for all possible position functions.

c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.

Answer:

The Bowling Ball is Denser.

Explanation:

If we consider both balls in terms of mass they are very different.  Size and volume can be the same though.

What makes the mass?  Think of what fills each of the balls.

A Basketball is filled with air, which weighs very little.

Meanwhile, a bowling ball is filled with coverstock, made up of plastic, urethane and resin.  These materials weigh considerably more than air!

The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

This is the single force obtained from the combinatiion of two or more forces

To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.

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According to Wien's law, the wavelength of maximum emission decreases as an object gets hotter.

This law is also known as the displacement law. This can be written as:

λmaxT=constant

where λmax is the wavelength of maximum emission and T is the temperature of the object.

This means that as the temperature of an object increases, the wavelength of maximum emission shifts towards the shorter wavelength end of the spectrum. This is why objects that are very hot, like the filament of an incandescent light bulb, emit light in the visible region of the spectrum.

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Answer:

The answer is A. Fluid and white blood cells move into the tissue from nearby blood  vessels.

Explanation:

Answer:

A is the Answer

Explanation:

I took the test

Answer:

10 million joules or 10,000 KJ

Explanation:

Work= Force x Displacement

convert 5km into meters -5km=5000m

W= 2000N x 5000m

w=10,000,000 Joules

or 10,000KJ

If the absorbance for a sample is large, then the intensity of light as it passes through the sample will be: low.

The light is absorbed by the sample, resulting in a lower intensity of light. Absorbance is the measure of the amount of light absorbed by a sample, and it is proportional to the concentration of the absorbing substance. If the concentration of the absorbing substance is high, the absorbance will be high, indicating that more light is being absorbed by the sample.

To measure the concentration of a substance in a sample, absorbance is often used. A sample is irradiated with light of a known intensity and a known wavelength, and the intensity of the transmitted light is measured. The intensity of the transmitted light is compared to that of the incident light, and the percentage of light absorbed by the sample is calculated based on the difference between the two.

A high absorbance value means that a lot of light is being absorbed by the sample, which indicates a high concentration of the absorbing substance in the sample.

Therefore, when the absorbance for a sample is large, the intensity of light as it passes through the sample will be low.

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