a mass on a spring completes 8 oscillations in 4.0 s. determine the period of its simple harmonic motion.

Due to the absence of a directional component, the particle's final speed, vf, is calculated as (vi2+2*(F/m)*D) after it has travelled d metres and has been moving at a velocity dictated by terms of vi, m, f, and d.

The equation (vi2+2*(F/m)*D) can be used to find the vf. Vi is the initial velocity, m is the mass, D is the distance, and F is the force. Velocity, measured in metres per second, is the rate at which an object's location shifts. Physics defines a force as an influence that has the power to change how an object moves. An object with mass can experience a force that alters its acceleration or velocity (for example, moving from a condition of rest).

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subtract the two When the moon is closest to earth, it appears in our sky 1.12 times larger than when it is farther away. Because the moon's orbit is not a perfect circle, the earth-moon distance changes slightly.

Contrary to popular assumption, Earth does not have a recognized name in other countries. Simply put, the term "Terra" refers to a typical misunderstanding of the planet's scientific name.

Our home planet, Earth, is a unique place. The only site in the cosmos where life has been proved to exist is on Earth, which is the third planet from the sun. Earth is our solar system's fifth-largest planet with a radius of 3,959 miles.

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The values of charge for q₁ and q₂ are 5.715 × 10⁻⁸ C and -5.715 × 10⁻⁸ C, respectively.

Electric charge is the physical property of any matter which causes it to experience a force when it is placed in an electromagnetic field.

The acceleration is upwards. Therefore, the charge will be accelerated upwards and it is attracted by charge q₁ and repelled by q₂. Therefore, the q₁, is positive charge and q₂, is negative charge.

The net force for the following case will be,

Fq₁Q + Fq₂Q = 0

kq₁ Q/ r² = - kq₂ Q/ r²

q₁ = -q₂

The net force is,

Fnet = ma

F net = (5.50 × 10⁻³ kg) (304 m/s²)

Fnet = 1.672 N

The triangle is an isosceles triangle and the value of the angle is,

cos θ = -2.25 cm/ 3cm

θ = cos⁻¹(-2.25 cm/ 3cm)

θ = 41.4°

The force equation is,

F net = kq₁ Q/ r² cos θ + kq₂Q/ r²cos θ

ma = kq₁ Q/ r² cos θ + kq₂Q/ r²cos θ

1.672 N = 2 (9×10⁹) (1.95×10⁻⁶ c) / (3×10² m)² × cos (41.4°)

q₁ = (1.672 N) (3×10² m)²/ (9 × 10⁹) (1.95×10⁻⁶ c) cos (41.4°)

q₁ = 5.715×10⁻⁸ C

Since,

q₂ = -5.715 × 10⁻⁸ C

Therefore, the charge q₁ and q₂ are 5.715 × 10⁻⁸ C and -5.715 × 10⁻⁸ C, respectively.

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The spring extends 0.18 meters in total. And choice (4) is accurate.

The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies. The stiffer the spring is and the harder it is to stretch, the larger the spring constant.

The force necessary to compress or extend a spring is inversely related to the length extended, according to Hooke's law. Newton's Third Law of Motion states that a spring will return with a restoring force after being pulled. Hooke's Law, which connects spring force to continuous spring force, is followed by this restoring force.

Given information: The spring constant's value is k = 68 N/m.

F = 12 N is the amount of downward force.

The stiffness of spring material is expressed numerically as the spring constant. such that it may be calculated simply dividing the spring force by the stretch distance. It is referred to as Hooke's law.

based on Hooke's law,

F = K × x

x = F /K

x = 12/68

x ≈ 0.18m

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All electromagnetic waves are organized into a continuum called the electromagnetic spectrum according to their frequency and wavelength.

The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured on cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz). In this article, the relationship between frequency and wavelength is covered.

Here are some wavelength examples: Yellow Light is a prime example. The wavelength range of all visible light is 400 to 700 nanometers (nm). The wavelength of yellow light is 570 nanometers or such. Wavelength (nm) (nm)

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Answer:

The weight of a person with a mass of 68.5 kg on the Moon is 109.6 N.

Explanation:

To find the weight of a person on the Moon, we need to use the formula:

Weight = Mass x Gravitational Force

On the Moon, the gravitational force is 1.6 N/kg. So, using that information:

Weight = 68.5 kg x 1.6 N/kg = 109.6 N

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How large is the impulse that the floor exerts on the egg is 22.15 N.

Impulse is related to force as it represents the change in momentum of an object as a result of a force acting over a period of time. Impulse is calculated by multiplying the force applied to an object by the time over which that force is applied. In this case, the force exerted by the floor on the egg causes a change in the egg's momentum, and the impulse is the product of this change in momentum and the time over which it occurred.

First step is to calculate the velocity of the egg just before hitting the floor,

v²=u²+2gh, where u=0

v²=0²+2×9.81×1.0

v²=4.43/s

Second step is to calculate the change in momentum of the egg,

Change in momentum=0.05×4.43/s

Change in momentum=0.2215 kgm/s

Third step is to calculate the force exerted on the egg by the floor using this formula,

Force exerted on the egg=Change in momentum/Time

Force exerted on the egg=0.2215/0.010

Force exerted on the egg=22.15 N

In conclusion how large is the impulse that the floor exerts on the egg is 22.15 N.

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Answer:

So, 20W of light energy is produced per second.

Explanation:

a) To calculate the current flowing through the bulb, we use the formula:

I = P / V

Where P is the power in watts (100 W) and V is the voltage (220 V).

I = 100 / 220 = 0.45 A

b) To find the light energy produced per second, we use the formula:

E = P x t

Where P is the power in watts (100 W) and t is the time in seconds.

As we know only the power and not the time, we have to calculate the energy efficiency of the bulb.

Efficiency = (Energy output/ Energy input) * 100

Efficiency = (Light energy output / Total energy input) * 100

Let's assume that the bulb is on for 1 sec

Efficiency = (Light energy output / 100W) * 100

Light energy output = (Efficiency / 100) * 100W = 20W

Efficiency = 20%

So, 20W of light energy is produced per second.

Answer:

So, 20W of light energy is produced per second.

Explanation:

a) To calculate the current flowing through the bulb, we use the formula:

I = P / V

Where P is the power in watts (100 W) and V is the voltage (220 V).

I = 100 / 220 = 0.45 A

b) To find the light energy produced per second, we use the formula:

E = P x t

Where P is the power in watts (100 W) and t is the time in seconds.

As we know only the power and not the time, we have to calculate the energy efficiency of the bulb.

Efficiency = (Energy output/ Energy input) * 100

Efficiency = (Light energy output / Total energy input) * 100

Let's assume that the bulb is on for 1 sec

Efficiency = (Light energy output / 100W) * 100

Light energy output = (Efficiency / 100) * 100W = 20W

Efficiency = 20%

So, 20W of light energy is produced per second.

Answer:

15 cm

Explanation:

[tex]m = \frac{f}{s - f} = \frac{i}{o} \\ \frac{10}{40 - 10} = \frac{5}{o} \\ \frac{1}{3} = \frac{5}{o} \\ o = 15 \: cm[/tex]

The minimum distance from the center at which the penny can be placed without sliding off is 0.0039 m, while the maximum distance is not defined as the penny would slide off as soon as it's placed further away from the center.

To determine the maximum/minimum distance from the center at which the penny can be placed without sliding off, we need to calculate the static friction force (F_s) and the centrifugal force (F_c) acting on the penny.

[tex]F_s[/tex] = coefficient of static friction * normal force

[tex]F_c = m * r * w^2[/tex]

where

m = mass of penny

r = distance from center

w = angular velocity (converted to radians/sec)

In order for the penny to not slide off, the static friction force must be greater than or equal to the centrifugal force. Therefore,

[tex]F_s > = F_c[/tex]

Plugging in the known values:

[tex]0.4 * m * g > = m * r * (40 * 2 * \pi / 60)^2[/tex]

where g is the acceleration due to gravity (approx 9.8 m/s^2)

Solving for r:

[tex]r > = (0.4 * g) / (40 * 2 *\pi/ 60)^2[/tex]

r >= 0.0039 m

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The distance from A to C is 40.

To find the distance from point A to point C, we need to use the concept of similar figures. In similar figures, the ratio of corresponding lengths is always equal to the scale factor. Since the distance from point C to point C' is 8 and the scale factor is 5, we can use this information to find the distance from point A to point C.

To do this, we can set up the following proportion:

(Distance from A to C)/(Distance from C to C') = Scale Factor.

Therefore,

(Distance from A to C) = (Distance from C to C') * Scale Factor = 8 * 5 = 40.

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The valid hypothesis is If Earthquakes occur, then tornados could occur at the same time.

What is a hypothesis?

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The conversion of energy can occur by the first law of thermodynamics.

We have to note that the kinetic energy would have to do with the energy of an object that is in motion. In this case, we can see that we have been told that super hero can be able to turn potential energy into kinetic energy.

This is in obedience to the first law of thermodynamics which states that energy can neither be created nor destroyed rather it can be converted from one form to another.

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The weight of the automobile is 19.94KN

Weight is the measure of the pull of gravity on an object. It is usually measured in units of mass, such as kilograms (kg) or pounds (lbs).

Depending on the object, the weight can be affected by the environment, including gravity, atmosphere, and other forces.

Weight of the automobile = (4 tires) x (gauge pressure) x (contact area) x (gravitational acceleration)

                                         = (4) x (2.3 105 Pa) x (0.027 m2) x (9.8 m/s2)

                                        = 1.994 x 104 N

                                        = 19.94 kN

Therefore, The weight of the automobile is 19.94KN

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A. The velocity of the second ball after the collision is 8 m/s.

Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.

b. The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.

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A 4.0 kg bowling ball sliding to the right at 8.0 m/s has an elastic head-on collision with another 4.0 kg bowling ball initially at rest. the first ball stops after the collision.

a. the velocity of the second ball after the collision is: 8 m/sec

b. it is verify the answer.

Collision is the physical contact between two or more objects. In physics, it is the result of two objects interacting with one another and exchanging energy, which can cause them to move, change direction, or deform. Collisions can occur between two objects, such as two cars, or between a single object and a surface, such as a car and a wall.

a.

As we know from the conservation of momentum:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(4 × 8) + 0 = 0 + 4 × v₂

v₂ = 8 m/s

velocity of second ball after collision = 8 m/s right

b.

The total kinetic energy before the collision is 128 J. After the collision, the total kinetic energy is 0 J since the first ball has stopped. Therefore, the total kinetic energy before and after the collision are equal, verifying the answer.

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The answer states that 833 watts would've been saved if a family converted ten 100-watt lights over to led bulbs.

James Watt, the developer of the steam engine, was honored with the name Watts, which are units used to determine the power of electricity. The electrical power expressed in Watts is the same as one volt under one volt of pressure. A watt of power is a very small amount.

One voltage equals 1000 watts or.001 kilowatts (kW) per hour, which is what circuits need to power lights, devices, and appliances.

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The earth's orbital radius around the sun is. One revolution takes a certain amount of time. the days into seconds conversion The earth's orbital radius around the sun is given. Velocity is the orbit's circumference measured over time with a single resolution.

The Earth's orbit is not a perfect circle. Its shape is elliptical or marginally oval. This shows that Earth is nearer to the Sun at one point in its orbit than it is at another.

Planets orbiting the Sun, moons orbiting big planets, and satellites are examples of situations where there is circular motion with a much bigger core body. They both move at the same speed.

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the magnitude (in m/s2) and direction of the plane's average acceleration during this time interval is a = -9 m/s2 in westward direction.

The rate at which velocity changes is called acceleration. Acceleration typically indicates a change in speed, but not necessarily. An item that follows a circular course while maintaining a constant speed is still moving forward because the direction of its motion is shifting.

Include the appropriate variables and the specified values in your writing.

v = 0 m/s and u = 135 m/s

t = 15 s

To calculate the necessary acceleration for the given scenario, write the first law of motion.

At zero speed, v = u + at = 135 m/s + a(15 s) a = -9 m/s2.

The plane is deaccelerating in the opposite direction of motion in this case, as indicated by the negative magnitude of acceleration. As a result, the magnitude in m/ s2 is 9 m/ s2, and the average acceleration of the plane during this time period is westward.

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Answer:

a

Explanation:

your right maybe

The time required for a wave with a 6 kHz frequency to oscillate 24,000 times was calculated to be 41 hours. An event's repetitions per unit of time are what determine its frequency.

It is distinct from angular frequency and is sometimes referred to as temporal frequency, just to be clear. Every second, or one hertz (Hz), or unit of frequency, an event occurs. The vibration of the strings of stringed instruments, such as the guitar, is another example of oscillation. The pendulum's oscillating movement is brought on by its back-and-forth motion. Vibrations in mechanical systems are referred to as such. A particle vibrates when it oscillates between two places with respect to its centre of mass.

T = 1/lamda is the formula for time.

Time = 1/24000*106 Time = 41 hours

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Answer: 4 seconds

I'm not sure about the working out because I just got the answer while doing an online test but i hope it helps :)

The amount a planet "wobbles" the galaxy it is orbiting may be used to calculate the planet's period.

The distance unit is referred to by the Standards Organization as a metre. It's noteworthy to note that utilising this fundamental unit and a few equations, a number of derived quantities or quantities, including capacity, area, force, and movement, may be created.

Distance is how length is calculated. For instance, a road's length is equal to its length. Decimals, centimetres, metres, and kilometer are the most used metric units for measuring distance.

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The forces acting on the book are: hand on book and earth on book. The forces acting on your hand are: book on hand and earth on hand. the forces "hand on book" and "book on hand" are action-reaction pair.

You hold your physics textbook in your hand. By applying the Newton's third law of action and reaction, we can conclude that:

a) The forces acting on the book are:

   The floor is not in contact with the book, hence, there is no force from the floor on the book

b) The direction of forces in part (a):

c) The forces acting on your hand:

d) The direction of forces in part (c)

e) The action force has the same magnitude as the reaction force, but in opposite direction.

The action-reaction forces are:

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If the momentum increases, the De Broglie wavelength of an electron will increase. The correct answer is A.

The de Broglie wavelength of a particle is inversely proportional to its momentum. As the momentum of an electron increases, the de Broglie wavelength of the electron decreases.

The de Broglie wavelength of a particle is related to its momentum and its mass, with the equation λ = h/p, where h is Planck's constant and p is the momentum of the particle. Increasing the momentum of an electron will decrease its de Broglie wavelength, as the momentum and the wavelength are inversely proportional.

This is because the de Broglie wavelength of a particle is related to the uncertainty of its position, and as the momentum increases, the uncertainty of the position decreases, thereby decreasing the de Broglie wavelength.

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The final image will be real and obtained at infinity is the position and magnification of the final image.

A converging lens brings together parallel light rays that are moving in their direction. A diverging lens does just that as parallel light rays approach it. It creates the true image. The virtual image is created. A converging lens is also known as a convex lens.

Since the rays converge after passing through the convex lens, convex lenses are also known as converging lenses. Since the rays diverge after striking the concave lens, it is known as a diverging lens.

For converging lens,

[tex]\frac{1}{f} =\frac{1}{v} -\frac{1}{u}[/tex]

[tex]\frac{1}{30} =\frac{1}{v} -\frac{1}{-19}[/tex]

[tex]\frac{1}{v} =\frac{1}{30} -\frac{1}{19}[/tex]

[tex]v=11m[/tex]

The final image will be real and obtained at infinity.

For diverging lens,

[tex]\frac{1}{f} =\frac{1}{v} -\frac{1}{u}[/tex]

[tex]\frac{1}{9} =\frac{1}{v} -\frac{1}{-30-25}[/tex]

[tex]\frac{1}{v} =\frac{1}{9} -\frac{1}{55}[/tex]

[tex]v=46m[/tex]

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The minimum speed required for you to make it around the loop is 7 m/s.

The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).

The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).

F net  = Fc = Fg + Fn

⇒ m v²/r = mg    [Fn = 0]

⇒ v = √ 5 × 9.8     [d = 10m, radius = 5m]

⇒ v = 7 m/s

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The magnitude of the charge can be calculated using the equation E = kQ/r^2, where E is the electric field strength, k is the Coulomb's constant (8.99 x 10^9 N·m^2/C^2), Q is the charge, and r is the distance from the charge.

what is strength ?

Strength can be defined as the capacity to endure physical, mental, or emotional stress. It can refer to physical strength, mental strength, or emotional strength. Physical strength is the ability to perform physical activities such as lifting weights, running, or pushing objects. Mental strength is the ability to focus on tasks and stay motivated.

Emotional strength is the capacity to handle difficult situations and to remain calm and composed. Strength is a quality that can be cultivated through practice and hard work. It is an important factor in achieving goals, as well as maintaining a healthy lifestyle. Strength can also be developed by setting and achieving goals, practicing visualization techniques, and engaging in activities that challenge one's mental and physical abilities. Additionally, strength can be developed through positive thinking, self-awareness, and self-discipline.

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The dive angle must the submarine make is found to be 25.4 °

a vessel capable of submersion: a nuclear submarine. a command or base for submarines. A wide range of missions, including anti-surface and anti-submarine warfare, information gathering, mine reconnaissance, ground strikes, polar operations, Special Forces support, and guarding other fleet ships, can be carried out by American submarines.

Sin Ф = 0.9/2.1;

Ф=> Sin^-1(0.9/2.1);

   => 25.4°.

For long to four months at a time, submarines can remain submerged more than 600 feet below the surface of the water while continuously patrolling and carrying out secret operations. Although you can't always see them, they are always working under the sea in silence.

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A helium atom (mass = 4m) moving with speed v collides elastically with a deuterium (hydrogen 2) atom (mass = 2m) at rest.  The percentage change in the kinetic energy of the helium atom after the collision is 50%.

Generally, This is because in an elastic collision, kinetic energy is conserved, and the total kinetic energy of the system is the same before and after the collision.

The helium atom has twice the mass of the deuterium atom, so it has half the velocity after the collision.

Since kinetic energy is given by 1/2mv^2, the velocity is squared, so a decrease in velocity by a factor of two results in a decrease in kinetic energy by a factor of four, which is equivalent to a decrease of 50%.

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The buoyant force in the increasing order is:

F<A<D<B<C=E

The buoyant force is an upward directed force that acts on any object when it is submerged either partially or completely inside a static fluid.

A body is able to float on the surface of fluid because of the buoyant force acting on the object, which tends to balance the weight of the object. The strength of the buoyant force on an object depends on the mass/volume of the fluid displaced by the object. This principle is known as Archimedes' Principle. According to Archimedes' principle, the buoyant force acting on an object is equal to the weight of the fluid displaced by the object.

The weight of an object is given by the equation:

W=mg

Here,

• m is the mass of the object.

• g=9.8m/s² =9.8m/s² is the acceleration due to gravity.

In terms of the volume, V and density ρ, the above equation becomes:

W=ρVg

It can be seen from the above equation that for a constant, ρ, we have:

W∝V

Therefore, the buoyant force will be proportional to the volume, Vf , of the fluid displaced by the object. Since the volume, Vf of the displaced fluid is equal to the volume of the object submerged inside the fluid, we have:

Vf = Vo∴Fb∝Vo

Therefore, the buoyant force in the increasing order is:

F<A<D<B<C=E

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The complete question is as follows: