some amusement parks have a ride where people are attached to a long cable, pulled back, and let go, like a pendulum. if the cable is 45.5 m long, what will the period of oscillation be?(unit=s)

When you eat pizza, chemical energy is transferred to mechanical energy.

Energy can be defined as the ability to do work. Thus, energy must be possessed or transferred to a physical object (body) before work can be done.

In Science, there are different forms of energy and these include the following;

When a person eats pizza, the chemical energy contained in this snack is transferred to mechanical energy.

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The final temperature of the mixture is closest to 32.5 °C

Heat loss = Heat gain

MᵥᵥC(Tᵥᵥ – Tₑ) = M꜀C(Tₑ – M꜀)

50 × 4.184 (40 – Tₑ) = 30 × 4.184(Tₑ – 20)

209.2(40 – Tₑ) = 125.52(Tₑ – 20)

Clear bracket

8368 – 209.2Tₑ = 125.52Tₑ – 2510.4

Collect like terms

8368 + 2510.4 = 125.52Tₑ + 209.2Tₑ

10878.4 = 334.72Tₑ

Divide both side by 334.72

Tₑ = 10878.4 / 334.72

Tₑ = 32.5 °C

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Answer:

96 seconds

Explanation:

M/S formula

The weight would take 4.95 seconds to fall 120 m down the cliff if it was thrown downwards at 1.25m/s

The equations of motion can be described as that those equation which established a relationship between the acceleration, velocity, time, and displacement of a moving b.ody

The mathematical form for the representation of the equations of motions:

\(v = u +at\\S = ut +(1/)2at^2\\v^2-u^2 = 2aS\)

Given, the velocity with a weight with which it threw = 1.25 m/s

The distance covered by the weight of reaching the surface, S = 120 m

From the 2nd equation of motion, calculate the time that the weight will take to reach the surface:

S = u.t + (1/2) gt²

120 = 0 + (1/2) × 9.8 × t²

t = 4.95 s

Therefore, the weight will take 4.95 s to fall 120m down the cliff if it was thrown downwards at 1.25 m/s.

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Answer:

When a load resistor is added to a digital circuit, increasing the clock frequency does not directly help restore the output voltage. The clock frequency determines the rate at which digital signals are processed and transmitted within a circuit but does not have a direct impact on the output voltage level.

The output voltage level of a digital circuit is primarily determined by the logic levels of the input signals and the characteristics of the circuit components, such as the power supply voltage and the voltage thresholds of the logic gates. The load resistor affects the voltage drop across it and the current flowing through the circuit, which can indirectly influence the output voltage level.

Explanation:

Adding a load resistor doesn't have any relation with the clock frequency in the context of digital circuits. Hence, increasing the clock frequency won't help restore the output voltage.

What is a resistor?

What is voltage?

What happens when the load resistor is added?

Does increasing the clock frequency help restore the output voltage?

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Answer:

36m/s

Explanation:

13 × 3 ....................=36

B. Piron > Pwater > Pwax

Wax normally floats in water,it is less dense than water.

Iron is more dense than water, so it sinks.

Answer:

B.    P iron >  P water > P wax

That hole provides three main roles: 1 for living two for speaking, and a third for swallowing. It fulfils three roles. When he swallows, his lip closes the hole of the palate in the rear his his mouth, settling the fleshly valves in the top part of the throat.

The throat serves as where those pathways of air and nutrients meet. When one breathes in through the nose or word, the air that comes in always goes through the pharynx. As you might expect, swallowing is a vital element of survival; it allows us to eat and drink.

Our breathing tube, our windpipe or the trachea is not separate from what we use to swallow, the stomach. Air, food, and fluids all travel together down the throat till the windpipe splits apart, exactly around the apple of Adam. Normally, the epiglottis prevents food and water from passing down the windpipe.

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Answer:

Temperature

Explanation:

Answer:

yes it is

Explanation:

The expression for |S_avg| is: |S_avg| = (P * β) / (4πε₀r^2c)

The magnitude of the average Poynting vector (|S_avg|) at a distance r from the lightbulb can be calculated using the following expression:

|S_avg| = (P * β) / (4πε₀r^2c)

where:

- |S_avg| is the magnitude of the average Poynting vector

- P is the power emitted by the lightbulb (given as P-watt)

- β is the fraction of energy emitted as electromagnetic radiation (given as 0.05 or 5%)

- π is a mathematical constant (approximately 3.14159)

- ε₀ is the permittivity of free space (a constant)

- r is the distance from the lightbulb

- ^2 denotes "squared"

- c is the speed of light (a constant)

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Answer:

y(x, t) = A Sin(ωt ± kx)

Explanation:

Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.

The general equation for a progressive wave is;

y(x, t) = A Sin(ωt ± kx)

Where: A is its amplitude, t is the time, k is the wave number.

When the wave travels in the positive x-axis direction, the equation changes to;

y(x, t) = A Sin(ωt - kx)

When it travels in the negative x- axis direction, the equation becomes;

y(x, t) = A Sin(ωt + kx)

NB: ω = 2\(\pi\)f and k = 2\(\pi\)/λ.

Answer:

The answer is B the products of photosynthesis are the reactants of cellular respiration

The differential equation that could be used to solve for the block's position as a function of time when it is moving to the left is: m * d^2x/dt^2 = -kx - μmg

Where: m is the mass of the block, x is the position of the block, t is the time, k is the spring constant, μ is the coefficient of kinetic friction, and g is the acceleration due to gravity. This equation represents Newton's second law applied to the block-spring system, taking into account the forces acting on the block: the force exerted by the spring (-kx) and the force of kinetic friction in the opposite direction (-μmg).

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Part A. We are given that a dart travels from rest to a velocity of 30 m/s with an acceleration of 330 m/s^2 to determine the time we will use the following equation of motion:

Where:

Since the dart is launched from rest this means that the initial velocity is zero, therefore:

Now, we divide both sides by "a":

Now, we plug in the values:

Solving the operation:

Part B. Now, we are asked to determine the distance. To do that we will use the following equation of motion:

Now, we divide both sides by "2a":

Now, we plug in the values:

Solving the operations we get:

Therefore, the distance is 1.36 meters.

An effective display of trend and magnitude is achieved by using a combination of a C)heat map and sparklines.

While the standard chart is designed to expose as a great deal fact as possible and is set off from the float of text, sparklines are meant to be succinct, memorable, and located in which they are mentioned.

A heatmap (or warmness map) is a graphical illustration of facts wherein values are depicted through color. They are crucial in detecting what does or does not paintings on a website or product page.

A warmth map visualization is a mixture of nested, colored rectangles, each representing an attribute detail. Heat Maps are regularly used inside the monetary services industry to review the reputation of a portfolio.

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When the mirror is moved so that the tree is between the focus point F and the mirror, the image appears shorter and on the same side of the mirror.This happens because of the phenomenon known as Reflection of Light. The mirror reflects light in such a way that it appears as if the light is coming from behind the mirror.

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Answer:

She took it as priority and got to work

Answer:

jgfsdghjjuk

Explanation:

khhnghjj

Answer:

C. Equal to 0

Explanation:

voltage is only produced when the magnet is in motion. Hope this helps :)

Solar constant never change, and hence there is no change in shortwave as well as longwave radiation by the earth's atmosphere

Solar constant is the rate at which the solar energy from the sun intercepts the earth's surface. It's value is 1,338watts per square meter.

Long wave radiation is a type of radiation emitted from earth whose wavelength ranges from 4 to 30 micrometers. While shortwave radiation is the radiant energy which is produced by the sun whose wavelength ranges from infrared to ultraviolet through visible.

We know that solar constant never change (constant), and the amount of shortwave that reaches the earth's atmosphere is called solar constant. As the solar constant does not change, there will be no change in shortwave as well as longwave radiation by the earth's atmosphere.

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Answer:

as A increases, B decreases, and as B increases, A increases. Hope this helps!

Explanation:

Answer:

Not all of the time, it can also depend on the strength of the magnet.

Explanation:

say you have a small very strong magnet, that might work just as well as a large but week magnet.

The current flowing through the television is given asI = P/V= 100/120= 0.83 .

It takes 1.927 × 10^-12 seconds for 10 million electrons to pass through the TV.

(a) Calculation of current flowing through the television. The current flowing through the television is calculated by using Ohm's Law, where the voltage across the television is 120 V and the power consumed is 100 W. The current flowing through the television is given asI = P/V= 100/120= 0.83 A.

(b) Calculation of time taken for 10 million electrons to pass through the TV. To calculate the time taken for 10 million electrons to pass through the TV, we need to calculate the number of electrons flowing per unit time. We know that the electric charge on an electron is -1.6 × 10^-19 C.

Therefore, the number of electrons flowing in 1 second = Current (I) / Charge of an electron. Number of electrons flowing in 1 second = 0.83 / 1.6 × 10^-19 = 5.1875 × 10^18So, time taken for 10 million electrons to pass through the TV is given by: Number of seconds = (10 × 10^6) / (5.1875 × 10^18)= 1.927 × 10^-12 seconds.

Therefore, it takes 1.927 × 10^-12 seconds for 10 million electrons to pass through the TV.

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if the digital display on a thermometer reads 0110 1100 and the temperature ranges from -100 to 300 degrees (8 bit). the analogue quantity being measured is 84.71.

A thermometer is a device used to gauge temperature. It may gauge the temperature of a solid substance, like food, a liquid substance, like water, or a gas, like air. Celsius, Fahrenheit, and kelvin are the three most widely used units for measuring temperature. A component of the metric system is the Celsius scale. The metric system of measuring also contains units for length and mass, such as kilogrammes and kilometres. The official unit of measurement for practically all nations in the world is the metric system, which includes Celsius. The Celsius scale is commonly used in science to measure temperature. Water has a freezing point of 0 degrees Celsius and a boiling point of 100 degrees Celsius.

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The maximum energy that the flywheel can store is 10350.875 Joules. This is calculated using the formula for rotational kinetic energy.

To calculate the maximum amount of energy the flywheel can store, we need to use the formula for rotational kinetic energy: KE = 1/2 * I * ω^2. In this case, I = 1/2 * m1 * r1^2. To find the angular velocity (ω), we use the formula ω = v / r1.

Calculation steps:
1. Calculate I: I = 1/2 * m1 * r1^2 = 1/2 * 21 kg * (0.55 m)^2 = 3.14125 kg * m^2.
2. Calculate ω: ω = v / r1 = 45 m/s / 0.55 m = 81.81818 s^-1.
3. Calculate KE: KE = 1/2 * I * ω^2 = 1/2 * 3.14125 kg * m^2 * (81.81818 s^-1)^2 = 10350.875 Joules.

The maximum amount of energy that this flywheel can store is 10350.875 Joules.

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The speed of sound in air on the day Mateo had a "harana" for Mae which had a temperature in the city of 40 °C is 355 m / s

v = 331 m / s + [ ( 0.6 m / s / C ) * T ]

T = Temperature

T = 40 °C

v = 331 m / s + [ ( 0.6 m / s / C ) * 40 ]

v = 355 m / s

The speed of sound in air formula used above is derived from the equation,

\(c_{air}\) = √ γ R T / M

\(c_{air}\) = Speed of air

γ = Adiabatic index

R = Gas constant

M = Molar mass

T = Temperature ( in K )

Therefore, the speed of sound in air is 355 m / s

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A. Total momentum in a closed system is conserved

the law of momentum conservation states that The total amount of momentum before the collision is the same as the total momentum after the collision. Regardless of the change of momentum of each object.

Explanation:

 i1=1ampere

i1+i2=I

VA−VB=i1×3Ω=i2×6

⇒1×3=i2×6

2i=21ampere

Hence I=i1+i2=1+0.5=1.5ampere

Req=2+3+63×6=2+93×6=4Ω

equivalent circuit

Refer image .2

From KVL

1req=v

v=1.5×4

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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