When turning on a light, what scientific condition are you causing to make the lights work?

By angular speed, the period of oscillation is 0.63 second.

We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as

ω² = k / m

where ω is angular speed, k is spring constant,  and m is the mass.

The angular speed can be calculated by

ω = 2π/T

Hence,

ω² = k / m

(2π/T)² = k / m

where T is period.

From the question above, we know that:

m = 2 kg

k = 200 N/m

By substituting to the equation, we get

(2π/T)² = k / m

(2π/T)² = 200 / 2

(2π/T)² = 100

square root

2π/T = √100

T = 2π / √100

T = 0.63 second

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The angular resolution at 505 nm for a telescope with a 9 meter primary mirror is 6.8455 x 10^⁻¹⁰  radian.

To put it simply, a telescope's resolution limit establishes the smallest detail that can be resolved in an image. The impact of diffraction establishes the resolution limit in the absence of aberrations.

The ability of any image-forming tool, such as an optical or radio telescope, a microscope, a camera, or an eye, to differentiate minute features of an object is known as angular resolution, and as such, it is a key factor in determining picture resolution.

Even the human eye can resolve angles! Rayleigh criterion is another name for angular resolution. An empirical formula for angular resolution has been proposed by renowned physicist Lord Rayleigh, where d is the diameter of the lens aperture.

We have,

Wavelength(λ) = 505 × 10^-9 m, D = 9 m

So, Angular resolution = 1.22(λ)/D

Angular resolution = 616.1 × 10^-9/9

Angular resolution = 6.8455 x 10^⁻¹⁰ rd

Thus, required angular resolution is 6.8455 x 10^⁻¹⁰ rd.

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Person-1

\(\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{10-0}{10}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{10}{10}\)

\(\\ \sf\longmapsto Acceleration=1m/s^2\)

Person-2

\(\\ \sf\longmapsto Acceleration=\dfrac{0.25-0}{2}\)

\(\\ \sf\longmapsto Acceleration=\dfrac{0.25}{2}\)

\(\\ \sf\longmapsto Acceleration=0.125m/s^2\)

Person-1 is accelerating faster.

The value of the modulus of a nest of springs that will limit the recoil of the cannon to 3ft is: k = 4.63 x 10¹⁰ lb/ft.

Given data: Weight of the shell, W = 1000 lb

Velocity of the shell, v = 2000 ft/s

Weight of the cannon, M = 200000 lb

Limiting recoil of the cannon, x = 3 ft

We have to determine the modulus of a nest of springs that will limit the recoil of the cannon to 3 ft.

Concept used:

The momentum equation can be used to solve the problem as below:

Momentum before firing = Momentum after firing

Therefore, the momentum of the cannon and shell should be equal and opposite as the momentum of the system is conserved.

The momentum of the cannon and the shell is given by Mv and W (-v), respectively.

Therefore, the momentum equation is given by:

Momentum before firing = Momentum after firing

Mv = -Wv Or

Mv + Wv = 0

The equation shows that the velocity of the cannon in the opposite direction is given by:

V = - (W/M) v

We have to find the force needed to limit the recoil of the cannon to 3 ft.

For this, we need to use the work-energy principle.

The work-energy principle states that the net work done on the system is equal to the change in kinetic energy of the system.

Therefore, the work done by the force (spring) is given by:

Work done = Change in kinetic energy -w = ΔKE

Total work done by the force is given by:

w = 0.5 k x², where k is the modulus of the spring

Hence, the equation becomes as below:

0.5 k x² = ΔKE

We need to determine the change in kinetic energy of the cannon and shell.

The change in kinetic energy of the cannon and shell is given by the equation:

ΔKE = (1/2)MV²

After substituting the values, we get:

ΔKE = (1/2)200000(46.51)² = 2.08 x 10¹¹ ft.lb

Therefore, the value of the modulus of a nest of springs that will limit the recoil of the cannon to 3ft is:

k = ΔKE/(0.5 x x²)

= (2.08 x 10¹¹)/(0.5 x 3²)

= 4.63 x 10¹⁰ lb/ft

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Answer:

If you haven’t read about the shark found swimming in and out of a segment of an undersea volcano, then you really need to get up to date.

Explanation:

The mass of the second box car from the calculation is  22317 Kg.

We have to note that we can be able to obtain the momentum as the product of the mass and the velocity of the object that is to be studied. In the case of the cars that we have here;

The momentum before Collison = Momentum after collision

We would then have from the question;

(10300 * 19) + (M * 0) = (10300 + M) * 6

Let the mass of the second box car be M

Then;

195700 = 61800 + 6M

M = 22317 Kg

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The momentum is the product of mass and velocity of an object. The momentum of object A is greater than object B.

The momentum is the product of mass and velocity of an object. Momentum is a vector quantity, possessing a magnitude as well as a direction. If 'm' is an object's mass and 'v' is the velocity, then the object's momentum p is:

p = mv

Momentum of Car A, p = mv

m = 1200 kg,

v = (80 × 1000)/ (60 × 60) = 22.22 m/s

p = mv

p = 1200 × 22.22 = 26664 kg.m/s

Momentum of Car B, p = mv

m = 2400 kg,

v = (20 × 1000)/ (60 × 60) = 5.55 m/s

p = mv

p = 2400 × 5.55 = 13333.33 kg.m/s

Therefore, the momentum of Car A is greater than car B.

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The magnitude of the acceleration due to gravity on planet p is 5 meters per seconds squared.

From the Second Equation of Motion;

s = ut + (1/2)gt²

Where v is final velocity, u is initial velocity, g is acceleration due to gravity and t is time elapsed.

Given the data in the question;

Plug the given data in the above formula and solve for g.

s = ut + (1/2)gt²

40m = (0 × 4s) + ( (1/2) × g × (4s)²

40m =  (1/2) × g × 16s²

Multiply both sides by 2

2 × 40m = 2 × (1/2) × g × 16s²

80m = g × 16s²

g × 16s² = 80m

g = 80m / 16s²

g = 5m/s²

Therefore, the acceleration due to gravity is 5m/s².

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Answer:

A) Electomagnetic wave

Explanation:

The best motor for the above purpose is 3.5 kW.

The best motor for the above purpose is 3.5 kW.  In electric motors, electrical energy is converted into mechanical energy. An electric motor produces force in the form of torque by the interaction between its magnetic field and the electric current flowing through its coils. As we know power is defined as the rate of work. Here you have to raise the curtains and defy gravity

so we have

Width = mgH = 193*10*7.5m

= 1418.5 years

Power = W/t

1418.5/5

= 2.8kW

So the best motor for the above purpose is 3.5 kW.

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Answer:

2 m/s²

Explanation:

a = Δv / Δt

a = (3 m/s − 1 m/s) / 1 s

a = 2 m/s²

Because a space telescope can monitor radiation over a very wide wavelength range and is located above the earth's absorbing and distorting atmosphere, astronomy from one is very valuable.

Astronomy from spacecraft is especially helpful because the space telescope is above the earth's absorbing and distorting atmosphere and can measure radiation over a very wide wavelength range on the absolute scale of temperature, the zero of which corresponds to the temperature at which the motion of atoms and molecules ceases. Is called space telescope.

In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. The distance between two adjacent crests, troughs, or zero crossings on a wave are examples of consecutive corresponding points in the same phase.

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The amount of charge that can be placed on a capacitor depends on the capacitance, which is determined by the area of each plate.

The capacitance of a capacitor is given by the formula:

C = ε0 * (A / d)

Where:

C is the capacitance,

ε0 is the permittivity of free space (a constant value),

A is the area of each plate,

d is the separation between the plates.

To determine the amount of charge, we can rearrange the formula as:

Q = C * V

Where:

Q is the amount of charge,

V is the voltage across the capacitor.

Given that the area of each plate is 7.3 cm², we can use this information to calculate the capacitance. However, the question does not provide the voltage or any other information required to calculate the amount of charge accurately. Without knowing the voltage or other relevant parameters, it is not possible to determine the exact amount of charge that can be placed on the capacitor.

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The relationship between the plasma frequency wp and the refractive index

nwp² = n² + k²

The plasma frequency wp for a material is defined as the frequency at which its refractive index becomes equal to 1. Hence, for silver, at w = wp: 0.006 = sqrt(1 - k²) and 3.524 = kwp = wp*sqrt(1 - 0.006²)wp = 1.39 * 10^16 rad/sNow, let's calculate the reflectance. We know that the reflectance R of a thin film of thickness t on a substrate with refractive index n is given by

R = ((n² + k²) - 1)/(n² + k² + 1)

In the case of silver, we can assume that the film is so thin that the reflectance will be equal to that of the bulk material, which we can find from the refractive index. Hence,R = ((0.006² + 3.524²) - 1)/(0.006² + 3.524² + 1) = 0.995So the reflectance is approximately 0.995.e) The diffraction pattern produced by a remote aperture can be described using the Fourier transform of the aperture function.

If we know the intensity distribution of the diffraction pattern, we can use the inverse Fourier transform to obtain the aperture function. However, this process is not always straightforward, especially if the diffraction pattern has noise or the aperture is not a simple shape.To reconstruct the aperture from the diffraction pattern, we can use techniques such as phase retrieval or iterative algorithms. These methods involve making assumptions about the aperture and iteratively refining the aperture function until it matches the observed diffraction pattern. The specific algorithm used will depend on the details of the experiment and the aperture function being reconstructed.

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Answer:

3.5 Hours

Explanation:

I believe all that has to be done is dividing 84 by 24, which results in 3.5, or 3 and a 1/2 hours.

a. The centripetal acceleration of the car is 0.5 m/s².

b. The centripetal force on the car is 600 N.

c. The coefficient of static friction between tires and the road is 0.051.

d. The car's speed is doubled, we need a coefficient of static friction of 0.204 to prevent the car from sliding.

a. The formula for the centripetal acceleration of the car is given as below:

ac = v²/r

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the values given in the problem, we get:

ac = (20 m/s)²/800 m = 0.5 m/s²

b. The formula for the centripetal force of the car is given as below:

F = mac

where F is the centripetal force,

m is the mass of the car, and

ac is the centripetal acceleration.

Substituting the values given in the problem, we get:

F = (1200 kg)(0.5 m/s²) = 600 N

c. The formula for the maximum static frictional force is given as below:

\(f_{max}\) = μsN

where \(f_{max}\) is the maximum static frictional force,

μs is the coefficient of static friction, and

N is the normal force acting on the car.

For a car moving in a circular path, the normal force is equal to the weight of the car, which is given by:

N = mg

where m is the mass of the car and g is the acceleration due to gravity (9.8 m/s²).

Substituting the above equations and solving for μs, we get:

\(f_{max}\) = μsN

⇒ μs = \(f_{max}\) / N

Substituting the values given in the problem, we get:

\(f_{max}\) = mac = (1200 kg)(0.5 m/s²) = 600 N and

N = mg = (1200 kg)(9.8 m/s²) = 11760 N

Therefore,μs = 600 N/11760 N = 0.051

d. Doubling the speed of the car will cause the centripetal acceleration to double as well.

The formula for centripetal acceleration is given as:

ac = v²/r,

where ac is the centripetal acceleration,

v is the speed, and

r is the radius of curvature of the circular path.

Substituting the new speed (40 m/s) into this formula, we get:

ac = (40 m/s)²/800 m = 2 m/s²

Therefore, the new centripetal acceleration is 2 m/s².

Using the same formula as in part (c), we can find the new coefficient of static friction.

The maximum static frictional force is still equal to the centripetal force, which is given by:

F = mac = (1200 kg)(2 m/s²) = 2400 N

Therefore,

μs = \(f_{max}\)/N = 2400 N/11760 N = 0.204

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Answer:

Meditation and Positive Thinking

Explanation:

Answer:

 :-

\text{Average velocity}=\frac{\text{total distance}}{\text{total time taken}}Average velocity=total time takentotal distance

Explanation:

The average velocity for the first half of the swim 50/25.2 =1.98

??

This incident should be reported to OSHA by Benjamin's employer.

The Occupational Safety and Health Act of 1970 established the Occupational Safety and Health Administration (OSHA) to ensure workers' safety and health by setting and enforcing standards and providing training, outreach, education, and assistance.

You can safeguard yourself by actively participating in any training or violence prevention programs provided by your employer, dressing for safety, and being aware of your working environment.

Be aware of people's behaviors, as they may indicate an impending attack or outburst.

A patient in the emergency room punched Benjamin, a transport technician. Benjamin's employer should report this incident to OSHA because he fell to the ground and briefly lost consciousness.

Thus, the answer should be yes.

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A car with a mass of 950 kg is moving at 20 m/s when that collision with another car with a mass of 1000 kg that is moving at 15 m/s. The speed of each car prior to the collision was 2.05 m/s.

A collision, also referred as an impact, seems to be the abrupt, violent coming together in close proximity of two bodies. Examples include two pool cues, a tennis club and a ball, as hammer but a nail hammer, and two transport vehicles when they are linked.

The forces involved in a collision are equal in size and directed in the opposite direction, and they accelerate both objects. Each object accelerates equally in collisions with things of equal mass.

Momentum

m1V1 = 950 Kg * 20 m/s

= 19000 Kg*m/s

momentum = m2V2

= 1000kg*15m/s

= 15000 Kg*m/s

momentum before = (19000–15000)kg-m/s

= 4000kg-m/s

momentum after = ( 950 + 1000)V3

momentum after = momentum before

= V3

= 4000/1950

= 2.05 m/s

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The resistance of the battery if a current of 23A flows through a circuit and the battery produces a potential difference of 9V is 0.39 ohms.

Resistance is the force that tends to oppose motion. It is measured in ohms. The resistance of a battery can be calculated using the following formula;

V = IR

Where;

According to this question, a current of 23A flows through a circuit and the battery produces a potential difference of 9V. The resistance can be calculated as follows:

R = V/I

R = 9/23

R = 0.39ohms

Therefore, 0.39ohms is the resistance of the battery.

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Answer:

Pressure, P = 7 Pa

Explanation:

Given that,

Force exerted on the surface, F = 42 N

Length, l = 3 m

Width, b = 2 m

We need to find the pressure exerted by this force. We know that, pressure is equal to force per unit area. So,

\(P=\dfrac{F}{l\times b}\\\\P=\dfrac{42}{3\times 2}\\\\P=7\ Pa\)

So, the required pressure is equal to 7 Pa.

The International System of Units (SI) is a globally accepted standard system to measure length, temperature, time, amount of substance, and mass. It provides a consistent framework for measuring fundamental physical quantities.

The SI system ensures uniformity and facilitates accurate and reliable communication of measurements across different disciplines and regions.

By establishing precise definitions and internationally agreed-upon units, such as the meter, Kelvin, second, mole, and kilogram, the SI system enables scientists, engineers, and researchers worldwide to conduct experiments, make accurate calculations, and exchange data with ease and precision.

Its widespread adoption promotes compatibility, comparability, and coherence in the field of measurement.

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Answer:

Given parameters

Potential difference (V) = 220 V

Power of lamp 1 (P1) = 100 W

Power of lamp 2 (P2) = 60 W

Both the bulbs are connected in parallel. Therefore, the potential difference across each of them will be 220 V, because no division of voltage occurs in a parallel circuit.

We know that

Power = Voltage x Current

P = V x I

I = P/V

Lamp 1:

I1 = P1/V

I1 = 100/220

I1 = 5/11 A

Lamp 2:

I2 = P2/V

I2 = 60/220

I2 = 3/11 A

Net current (I) = I1 + I2

I = 5/11 + 3/11

I = 8/11

I = 0.7273 A

Hence, current drawn from the line is 0.727 A

Explanation:

Hope this helps!

Answer:

I'm pretty sure it's D

Explanation:

because the greater the mass, the greater the gravitational pull is on it. but you probably shouldn't take my word on it, lol

Answer:

Newton's Laws of Motion

If Kepler's laws define the motion of the planets, Newton's laws define motion. Thinking on Kepler's laws, Newton realized that all motion, whether it was the orbit of the Moon around the Earth or an apple falling from a tree, followed the same basic principles.