What is the cost of operating a 100 W light bulb for "4 hrs per day" for 30 days, if the cost of electricity is 6 cents kW•h

The single color of light illuminating a ripe banana will make it appear black will be blue light.

When lit with blue light, ripe bananas appear black. Yellow is a combination of red and green, so if blue light is flashed onto a yellow banana, the fruit will absorb the blue light, leaving nothing for the banana to reflect. The banana seems black to the eyes because there is nothing for them to reflect back to them. So, when viewed with blue light, a ripe banana appears black.

A red shirt would seem black if only blue light were shined on it because no red light would be there to reflect the blue light, which would otherwise absorb it. Ripe bananas adhere to the same standard and also white objects, which seem white because they reflect all colors.

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The motion of the Soyuz capsule after it breaks free of the ISS but before the panicked astronaut retrieves it can be described as an initial state of zero velocity and a free-fall motion caused by gravity.

When the Soyuz capsule breaks free of the ISS, it has an initial velocity of zero relative to the ISS. Since there is no air resistance in space, the only force acting on the capsule is gravity, which causes it to fall towards the Earth. The motion of the capsule can be described as a free-fall motion until some other force, such as atmospheric drag, slows it down or stops it.

a) The initial phase angle is 45 degrees, (b) displacement at t=0 s is 1.414 m, (c) the velocity at t=0 s is -5.656 m/s, (d) maximum velocity is 1.568 m/s.

Simple harmonic motion (SHM) is a type of periodic motion in which an object oscillates back and forth around a central point with a constant amplitude and a sinusoidal pattern.

The equation of a simple harmonic motion (SHM) is given by:

y = A cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.

Comparing with the given equation, we have:

A = 2.0

ω = 4

φ = 45 degrees

a) The initial phase angle is 45 degrees.

b) To find the displacement at t=0 s, we substitute t=0 in the given equation:

y = 2.0 cos(4t + 45)

y = 2.0 cos(45)

y = 1.414 m

Therefore, the displacement at t=0 s is 1.414 m.

c) To find the velocity at t=0 s, we differentiate the given equation with respect to time:

v = dy/dt = -2.0ω sin(ωt + φ)

Substituting t=0, we get:

v = -2.0 x 4 sin(45)

v = -8.0 x 0.707

v = -5.656 m/s (Note: the negative sign indicates that the direction of the velocity is opposite to the direction of the displacement)

Therefore, the velocity at t=0 s is -5.656 m/s.

d) To find the maximum velocity, we differentiate the given equation with respect to time and set it equal to zero (since the maximum velocity occurs when the displacement is zero):

v = -2.0ω sin(ωt + φ) = 0

Solving for t, we get:

ωt + φ = nπ (where n is an integer)

4t + 45 = nπ

t = (nπ - 45)/4

At t=0, n=1, so:

t = (1π - 45)/4 = -11.25 degrees

(Note: the negative sign indicates that the displacement is at its maximum position, whereas the velocity is zero)

Substituting this value of t in the expression for velocity, we get:

v = -2.0 x 4 sin(-11.25 + 45)

v = 8.0 x 0.196

v = 1.568 m/s

Therefore, the maximum velocity is 1.568 m/s.

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The other force must do a work of -1 J.

The kinetic energy of an item is the electricity that it possesses because of its motion. it is defined because the work needed to boost up a frame of a given mass from relaxation to its stated pace. Having gained this energy for the duration of its acceleration, the frame maintains this kinetic electricity except for its pace changes

Calculation:-

Kinetic energy = 1/2mv²

1 J = 1/2mv²

on doubling the speed

new kinetic energy

Kinetic energy = 1/2m(2v)²

New kinetic energy = 4 times previous kinetic energy

                                = 1 j × 4 = 4 J

Let the first force do a work = 4 J

total kinetic energy becomes =  1 + 4 = 5 j

therefore the second fore must do negative work of - 1 J

Kinetic energy is the power an object has because of its motion. If we want to boost up an object, then we must follow a force. making use of force requires us to do paintings. After work has been accomplished, energy has been transferred to the object, and the object might be moving with a new consistent speed.

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Answer:

a counterclaim

Explanation:

authors purpose is what an author wrote somthing for

opinion is someones thoughts or "side" on a argument

an arguement is a battle of opinions if that makes sense

Answer:

It indicates that a force has 2 directions at the point at which they cross

Answer:

A. A field pointing in two directions

The frequency you hear if the cop was driving away from you at a speed of 25 m/s is  652 Hz. The correct option is C.

It is the number of oscillations per second of the sinusoidal wave.

A cop car’s siren has a frequency of 700. H z. If you are standing on the sidewalk as the cop car approaches you at a speed of 15.0 m/ s.

The cop was driving away from you at a speed of 25 m/s. The speed of sound is 343 m/ s.

The frequency you hear will be calculated using the following formula

f' = f(Vs - Vo)/(Vs +Vc)

Substitute the values into the above equation, we get

f' = 700 x (343 - 0) / (343 + 25)

f' = 652.45 Hz

or f' = 652 Hz

Thus, the frequency you hear when the cop is driving away is  652 Hz.

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Minimum mass of the styrofoam block needed for the man to stay afloat in water is approximately 18.4 kg.

To determine the minimum mass of a styrofoam block required for a man to stay afloat in water, we need to consider the principle of buoyancy. The buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. Since the man's weight in air is 900N, the buoyant force must also be 900N to balance it out and keep him afloat.

Given that the density of water is approximately 1000 kg/m³, we can use the formula for buoyant force (F_buoyant = ρ * V * g), where ρ is the density of water, V is the volume of the styrofoam block, and g is the acceleration due to gravity.

By rearranging the formula, we can find V = F_buoyant / (ρ * g). Substituting the values, V = 900N / (1000 kg/m³ * 9.8 m/s²), we get V ≈ 0.092 m³.

Since density (ρ) is mass (m) divided by volume (V), we can rearrange the formula to find m = ρ * V. Substituting ρ = 200 kg/m³ (typical density of styrofoam), we get m ≈ 200 kg/m³ * 0.092 m³ ≈ 18.4 kg.

Therefore, the minimum mass of the styrofoam block needed for the man to stay afloat in water is approximately 18.4 kg.

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Sylvia and Jadon will find that the tangential speed of the puck is approximately 3.46 m/s for mass 0.5 kg.

If a puck of mass 0.5 kg is moving in a circular path of radius 1.5 m with a tension of 4.0 N, then the tangential speed of the puck can be calculated using the following equation:

Tension = \((mass * tangentialspeed^2) / radius\)

Rearranging the equation to solve for the tangential speed:

Tangential speed = sqrt((tension x radius) / mass)

Substituting the given values:

Tangential speed = sqrt\(\sqrt{((4.0 N * 1.5 m) / 0.5 kg)}\)

Tangential speed = \(\sqrt{(12 m^2/s^2)}\)

Tangential speed = 3.46 m/s (approx)

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When the investigator wanted to reproduce the results with a beam of protons, the thing required is A. Lower speed particles than for the electron beam.

It should be noted that a proton simply means a stable subatomic particle that has a positive electric charge.

In this case, when the investigator wanted to reproduce the results with a beam of protons, the thing required is a lower speed particles than for the electron beam.

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Explanation:

point c is minimum Amplitude in transversal wave

The exact value that would produce resonance in the system is 1.64. The amplitude of the oscillation when the system is at resonance is 9.32. The value of 8 is 1.46

Given the equation for the motion of a mass and spring is 3y″ + 8y' + 11y = 30 cos(yt). To find the value that would produce resonance in the system, we can use the formula for natural frequency.

f = √(k / m)

In the given context, "k" represents the spring constant, which characterizes the stiffness of the spring, and "m" denotes the mass of the object attached to the spring. Here, comparing the given equation to the standard second-order differential equation of an oscillator, we have:

3y″ + 8y' + 11y = 0

By comparing the given equation with the standard form Ay″ + By' + Cy = 0, we can assign the values A = 3, B = 8, and C = 11.

We can solve for the characteristic equation using: α = (-B ± √(B² - 4AC)) / 2A

Substituting the values, we get: α = (-8 ± √(8² - 4(3)(11))) / 2(3)α = (-8 ± √8) / 6

Thus, the two roots are α = -1.19 and -2.94.

Therefore, the value that would produce resonance in the system is the natural frequency, which is given by:

f = √(k / m)

We can solve for the unknown value by first determining the mass, m and then finding the spring constant, k. Using one of the roots of the characteristic equation, say α = -1.19, we can substitute this into the formula:

m = α²/k

Substituting the known values, we get: m = (-1.19)²/km = 1.416/k

To find the spring constant, we can use another known value. Let's use the value of y when t = 0. Thus,

3y″ + 8y' + 11y = 30 cos(0)3y″ + 8y' + 11y = 30 ⇒ 3(0)² + 8(0) + 11y = 30y = 30/11

Hence, the spring constant is given by:

k = (11/30)y''

Substituting the values, we get:

k = (11/30)(-1.19)²/1.416k = 3.22

Therefore, the natural frequency is: f = √(k/m)f = √(3.22/1.416)f = 1.64

The exact value that would produce resonance in the system is 1.64. The amplitude of the steady-state solution when the system is at resonance is given by: A = F/(k√(1 - (f/f₀)²))

where f₀ is the driving frequency, which is equal to the natural frequency, f = f₀ = 1.64, and F is the amplitude of the driving force, which is 30.

Substituting the values, we get: A = 30/(3.22√(1 - (1.64/1.64)²))A = 30/(3.22√(1 - 0))A = 30/3.22A = 9.32

The steady-state solution reaches an amplitude of 9.32 (rounded to two decimal places) when the system is at resonance.

In the absence of an external force, the oscillation of the spring can be expressed as Asin(Bt + φ), where A represents the amplitude, B corresponds to a certain parameter, t denotes time, and φ represents the phase constant.

B = √(k/m)

Substituting the known values, we get:

B = √(3.22/1.416)

B = 1.46

Therefore, the value of 8 is 1.46 (rounded to two decimal places).

The question should be:

The motion of a mass and spring is described by the following equation: 3y " + 8y + lly = 30 cos(yt) Identify the value of that would produce resonance in the system. Give an exact value, but you don't need to simplify radicals. What is the amplitude of the steady-state solution when the system is at resonance? Round your answer to two decimal places_ The amplitude is If there was no external force, the oscillation of the spring could be described in the form Asin( Bt + $). What is the value of 8? Give an exact value, but you don't need to simplify radicals.

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If the reaction has a negative ΔG (Gibbs free energy), it indicates that the reaction is spontaneous and thermodynamically favorable. The correct statement is "Keq > 1" when ΔG < 0.

In this case, the following statement must be true:

Keq > 1.

Keq represents the equilibrium constant of the reaction, which is a ratio of the concentrations (or pressures) of the products to the concentrations (or pressures) of the reactants, each raised to the power of their stoichiometric coefficients. When Keq is greater than 1, it implies that the concentration of products is higher than the concentration of reactants at equilibrium, indicating that the reaction favors the formation of products.

The terms "exothermic" and "endothermic" refer to the heat transfer of a reaction, not the Gibbs free energy change. The sign of ΔG does not provide direct information about whether the reaction is exothermic or endothermic. The exothermic or endothermic nature of a reaction is determined by the overall energy change (enthalpy change, ΔH) of the reaction.

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Answer:

162,500

Explanation:

P=F(t)

32500=F(2)

162,500

The force exerted by the fuel on the shutter will be "162500 N". To understand the calculation, check below.

According to the question,

Change in momentum, ΔP = 325,000 kg.m/s

Time, Δt = 2 sec

Mass = 13,000 kg

We know the relation,

→ Force, F = \(\frac{dP}{dt}\) or,

                 = \(\frac{\Delta P}{\Delta t}\)

                 = \(\frac{Change \ in \ momentum}{Time}\)

By substituting the values,

                 = \(\frac{325000}{2}\)

                 = 162500 N

Thus the above answer is correct.

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The angle of refraction for the light ray with the wavelength of 589nm traveling through air strikes a crown glass at 30.0° incidence is 19.2°.

Refraction is the quantity used to measure the amount of refraction taking place at any boundary when light passes between the two mediums.

Refractive index can be calculated using Snell's law, the formula for calculating angle of refraction is as follows:

n₁/n₂ = sinФ₁/sinФ₂

n₁. sin(i) = n₂. sin(r)

where, n₁ = refractive index of medium 1

n₂ = refractive index of medium 2

i = angle of incidence in air

r = angle of refraction in glass

Therefore, by putting the values in this formula we can get the angle of refraction.

(1) × sin(30°)=(1.52) × sin(r)

sin(r)= 1/2 × 1.52

sin(r) = 1/ 3.04

r = sin⁻¹(0.328)

r = 19.2°

Therefore, Angle of refraction = 19.2°

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Your question is incomplete, most probably the complete question is:

A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes a smooth, flat slab of crown glass at an angle of 30.0 to the normal. If the index of refraction of the crown glass is 1.52 and the index of refraction of air is 1. Find the angle of refraction.

Passive solar energy involves using natural processes to capture and distribute the Sun's energy.

This technique utilizes building design features, such as window placement and materials, to allow sunlight to enter the space and provide heating, lighting, and ventilation without any need for mechanical or electrical systems.

One example of passive solar design is the use of south-facing windows to capture sunlight during the winter, while shading devices prevent overheating during the summer.

By reducing the need for artificial heating and cooling, passive solar energy can reduce energy costs and environmental impact while providing a comfortable and sustainable living or working space.

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The x-component of the magnetic field produced by these three wires at the origin, Bx(0,0), is equal to zero since the wires are aligned parallel to the z-axis.

The y-component of the magnetic field produced by these three wires at the origin, By(0,0), is equal to μ0/2π times the sum of the currents, or 0.8 x 10-7 T.

The x-component of the force exerted on a one meter length of the wire carrying current I1, Fx(1), is equal to the product of the current, I1, and the y-component of the magnetic field, By(0,0). This is equal to -2.7 x 10-7 N.

The y-component of the force exerted on a one meter length of the wire carrying current I1, Fy(1), is equal to the product of the current, I1, and the x-component of the magnetic field, Bx(0,0). Since Bx(0,0) is equal to zero, the force is equal to zero.

The x-component of the force exerted on a one meter length of the wire carrying current I2, Fx(2), is equal to the product of the current, I2, and the y-component of the magnetic field, By(0,0). This is equal to 0.4 x 10-7 N.

In conclusion, the x-component of the magnetic field produced by these three wires at the origin, Bx(0,0), is equal to zero. The y-component of the magnetic field produced by these three wires at the origin, By(0,0), is equal to 0.8 x 10-7 T.

The x-component of the force exerted on a one meter length of the wire carrying current I1, Fx(1), is equal to -2.7 x 10-7 N. The y-component of the force exerted on a one meter length of the wire carrying current I1, Fy(1), is equal to zero. The x-component of the force exerted on a one meter length of the wire carrying current I2, Fx(2), is equal to 0.4 x 10-7 N.

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Billy jumps upward with a velocity of 4.2 m/s off a 6m high diving board.  . Billy will take 0.43 sec  to hit the water

The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics.

using equation of kinematics

v = u + g*t

sign convention

positive y direction (upward) = +

negative y direction ( downward )  = -

v = u - g*t

0 = 4.2 - ( 9.8 * t )

t = 4.2 / 9.8

t = 0.43 sec

Billy will take 0.43 sec  to hit the water

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Answer:

D. The force applied will contribute to the total net force.

good luck, i hope this helps :)

Answer:

50N

Explanation:

Force (N) = mass (kg) × acceleration (m/s²)

0.25kg times 200m/s² = 50N

Answer:

Explanation:

The solid state is one of the 3 stages which matter undergoes in addition to the liquid and the gaseous state. Matter in it's solid state contains atoms which are closely packed, In this stage, matter exhibits the least amount of kinetic energy of all three stages hence hindering movement of its particles and exhibiting firmness and rigidity. Solids exhibits a regular arrangement of it's molecules which differs from the scattered nature of gaseous particles and slightly ordered nature of liquid molecules. Solids exhibits a defined volume , and shape with molecules held together by string attractive forces. Solids can change into liquid through melting or transform directly into gaseous state through sublimation.

The velocity of the fourth piece after the explosion is 118.5 m/s at 14.7⁰ east of north.

The principle of conservation of linear momentum states that the sum of the initial momentum is equal to sum of final momentum.

Initial momentum of the bomb before explosion is equal to the final momentum of pieces of bomb after explosion.

Pi = Pf

0 = P₁ + P₂ + P₃ + P₄

0 = mv₁ + mv₂ + mv₃ + mv₄

0 = v₁ + v₂ + v₃ + v₄

Consider x-y plane for the velocity of the piece of bomb;

\(0 = (v_1x + v_1y) + (v_2x + v_2_y) + (v_3x + v_3_y) + (v_4_x + v_4_y)\\\\0 = (0 - 50y) + (-80x + 0) + (-40cos30x + 40sin30y) + (v_4_x + v_4_y)\\\\0 = -50y -80x - 34.64x + 20y + v_4_x + v_4_y\\\\0 = -30y - 114.64x + v_4_x + v_4_y \\\\v_4_x + v_4_y = 114.64x + 30y\\\\|v_4| = \sqrt{114.64^2 + 30^2} \\\\|v_4| = 118.5 \ m/s\\\\tan(\theta ) = \frac{30}{114.64} \\\\tan(\theta) = 0.262\\\\\theta = tan^{-1} (0.262)\\\\\theta= 14.7 \ ^0\)

Thus, the velocity of the fourth piece is 118.5 m/s at 14.7⁰ east of north.

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Answer:

Positively charged objects attract negatively charged objects.

Explanation:

This is due to a law that states 'like forces attract while unlike forces repel. This same concept applies to magnetism. If you put two similar poles together, for example; if you place two south poles together. You feel a separating force between the two poles. But if you place two opposite poles together they attract each other. Hope i helped.

Answer:

Positively charged objects attract negatively charged objects.

Explanation:

hope this helps

Answer:

V = m / s           correct units for V

x = V * t = m / s * s = m    where x is in meters

Thus t = x / V = m / (m / s) = sec

A) has to be the correct equation

Dimensions: Length = 12.45cm +/- 0.05cm, Width = 5.65cm +/- 0.05cm, Height = 2.85cm +/- 0.05cm,Mass = 221.3g +/- 0.1g,Calculation of Density:Volume of Block = Length x Width x Height= 12.45cm x 5.65cm x 2.85cm,= 214.25 cm3 +/- 0.25 cm3,Density = Mass / Volume,= 221.3g / 214.25 cm3,= 1.03 g/cm3 +/- 0.01g/cm3,Calculation of Percent Error:Percent Error = (Calculated Value - Expected Value) / Expected Value x 100,= (1.03 g/cm3 - 2.699g/cm3) / 2.699g/cm3 x 100,= -61.90%.

What is the Calculation ?

Calculation is a process of solving a problem by performing a series of mathematical operations or calculations. It involves the use of numerical data, formulas and equations to arrive at a desired result or answer. Calculations can be done manually or by using computers. Calculations are used in a variety of fields such as engineering, finance, physics and economics. Calculation is a way of problem-solving that is used to gain insight into a problem or to arrive at a solution. It involves a systematic approach to arriving at an answer or solution to a problem.

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Answer:

Using Coulomb's Law, we know that the force of attraction between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this case, we have two charged spheres 5m apart with an attraction of 15.0 x 10^6 N.

a) If both charges are doubled and the distance remains the same , we can calculate the new force of attraction using Coulomb's Law. Doubling the charges means we have a new charge of 2q on each sphere. Plugging in the new values, we get:

F = k * (2q)^2 / (5m)^2 = 4 * (k * q^2 / 5m^2) = 4 * (15.0 x 10^6 N) = 60.0 x 10^6 N.

Therefore, the new force of attraction is 60.0 x 10^6 N.

b) If an uncharged, identical sphere is touched to one of the spheres and then taken far away, the touched sphere will take on the same charge as the original charged sphere. This is because the charges on the two spheres will equalize and redistribute when they touch. The new force of attraction between the two charged spheres will be the same as the original force before the sphere was touched, since the charge on the touched sphere is the same as the original charged sphere. Once the touched sphere is taken far away, it will no longer contribute to the force of attraction between the two charged spheres, and the force will remain the same.

c) If the separation between the two charged spheres is increased to 30 cm, we can calculate the new force of attraction using Coulomb's Law. Plugging in the new distance value, we get:

F = k * q^2 / (0.3m)^2 = (k * q^2) / (0.09m^2) = (15.0 x 10^6 N) * (5^2) / (3^2) = 125.0 x 10^6 N.

Therefore, the new force of attraction between the two charged spheres is 125.0 x 10^6 N.

Explanation:

3. An electronics company is manufacturing circuit boards.They want to use minimum wire to connect the pins in a way that there are exactly two connected components of any size.

The wire needed to connect each pair of pins is given by the distance between them. How should they arrange the pins to minimize the total length of wire needed?

To minimize the total length of wire needed, the electronics company can use a specific arrangement of pins known as a "Minimum Spanning Tree" (MST). A Minimum Spanning Tree is a connected subgraph of the original circuit board graph that includes all the pins while minimizing the total length of the edges (wires) used.

The company can follow these steps to determine the optimal pin arrangement:

1. Create a graph representation of the circuit board, where each pin is represented by a vertex and the distance between two pins is represented by the weight of the edge connecting them.2. Apply a suitable algorithm for finding the Minimum Spanning Tree of the graph, such as Kruskal's algorithm or Prim's algorithm.

3. The resulting Minimum Spanning Tree will provide the arrangement of pins that minimizes the total length of wire needed while ensuring that there are exactly two connected components of any size.

By using this approach, the electronics company can achieve an efficient and optimized wiring configuration for their circuit boards.

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