What is The Velocity of a Rock on a String, Swinging in
a Circle with a Radius of 2 meters and a period of
5 seconds?

Answer:

0.0124 AU

Explanation:

Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10⁻³ AU from Jupiter’s center.

We need to find how far away is Callisto from the center of Jupiter if a second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. Let it is r₂. Using third law of Kepler.

\(T^2\propto r^3\)

i.e.

\((\dfrac{T_1}{T_2})^2=(\dfrac{r_1}{r_2})^3\\\\\dfrac{r_1}{r_2}=(\dfrac{T_1}{T_2})^{2/3}\\\\r_2=\dfrac{r_1}{(\dfrac{T_1}{T_2})^{2/3}}\\\\r_2=\dfrac{7.1\times 10^{-3}}{(\dfrac{7.15}{16.69})^{2/3}}\\\\r_2=0.0124\ \text{AU}\)

So, Callisto is 0.0124 AU from the center of the Jupiter.

Simple machines increase mechanical advantage.

Simple machines are devices that can make work easier by amplifying or changing the direction of the applied force. Mechanical advantage refers to the factor by which a simple machine multiplies the force applied to it. In other words, it is the ratio of the output force to the input force. By increasing the mechanical advantage, simple machines allow us to apply a smaller input force to achieve a larger output force, making it easier to perform tasks.

Simple machines do not increase the force itself; rather, they enhance the effectiveness of the force applied, making it more efficient. The mechanical advantage gained from using a simple machine enables us to overcome resistance or move objects with less effort.

Therefore, simple machines increase mechanical advantage, which allows us to achieve greater output force compared to the input force.

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The accurately described circuit is option D. In a series circuit, the amount of current passing through each part of the circuit may vary.

In a series circuit, components are connected one after another in a single path, forming a loop. The same current flows through each component in a series circuit, meaning that the current is constant throughout the circuit. This is known as Kirchhoff's current law, which states that the total current entering a junction is equal to the total current leaving the junction.

However, the amount of current passing through each individual component may vary. This is because the components in a series circuit offer different amounts of resistance to the flow of current. According to Ohm's Law, the current in a circuit is determined by the voltage applied and the resistance of the circuit.

Components with higher resistance will restrict the flow of current more, causing a decrease in the amount of current passing through them. Therefore, in a series circuit, the current remains the same at any point in the circuit, but the amount of current passing through each component may vary depending on its resistance. Therefore, the correct answer is option D.

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Answer:

More than 60% of the total refractive power of the eye is attributed to the cornea making it vital to focusing light onto the retina for visual processing 115.

Explanation:

For optimal vision, the cornea must efficiently transmit incident light by maintaining its transparency.

2000 mm is equivalent to 2 m. This can be derived from the fact that 1 m = 1000 mm. Thus, 2000 mm would be equal to 2 m since it is twice the length of 1000 mm. This conversion is important in various fields such as construction, engineering, and science where precision is necessary.

It is crucial to be able to convert between different units of measurement in order to make accurate calculations and measurements.The millimeter is a unit of length that is often used to measure small distances such as the thickness of a sheet of paper or the size of a small component. It is part of the metric system, which is a system of units used across the world that is based on multiples of 10.

This system makes it easy to convert between different units since it is based on a consistent set of rules.For example, to convert 2000 mm to meters, we can simply divide by 1000 since there are 1000 millimeters in a meter. This gives us 2 meters, which is the equivalent length in meters of 2000 millimeters.

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The gravitational potential energy of the Moon-Earth system is 76.4 × 10²⁷ Joule. The result is obtained by using the formula for gravitational potential energy.

Gravitational potential energy is the energy of an object due to the position from the center mass of other object. It can be expressed as

U = mgh

Where

We have the Moon-Earth system. It has

Find the gravitational potential energy!

We know that gravitational field (acceleration due to gravity) is different at different point. So, we include the formula for g to determine U.

g = GM/r²

Where G = 6.6743 × 10⁻¹¹ m³kg⁻¹s⁻² and M = mass of the Earth.

We calculate U.

U = mgh

U = m(GM/r²)r

U = GMm/r

U = (6.6743 × 10⁻¹¹ × 5.98 × 10²⁴ × 7.35 × 10²²)/(3.84 × 10⁵ × 10³)

U = 76.4 × 10²⁷ Joule

Hence, the Moon-Earth system has the gravitational potential energy of 76.4 × 10²⁷ Joule.

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Answer:

B

Explanation:

Density = mass / volume

Less dense objects float to the surface so if the liquid becomes 1000 kg/m3 then it is the densest thing in the mixture, except for Q which has a density = to that of the water so it will stay in place around the middle, since the other two are more dense they will go to the bottom of the container.

Answer:

14715 joules

Explanation:

The magnitude of the velocity gradient needed to produce a shear stress of 1.0 N/m^2 depends on the viscosity of the water and is given by the equation: velocity gradient = shear stress / dynamic viscosity.

The shear stress in a fluid is a measure of the force per unit area that acts parallel to the flow direction. It is caused by the interaction between adjacent layers of fluid moving at different velocities. The magnitude of the shear stress depends on the viscosity of the fluid, which is a measure of its resistance to flow.

To calculate the velocity gradient needed to produce a specific shear stress, we can use the equation: velocity gradient = shear stress / dynamic viscosity. The dynamic viscosity is a property of the fluid and represents its internal friction. By dividing the shear stress by the dynamic viscosity, we obtain the velocity gradient required to generate that shear stress.

In the case of flowing water, if we have a shear stress of 1.0 N/m^2 and know the dynamic viscosity of water, we can calculate the magnitude of the velocity gradient needed to produce that shear stress using the equation mentioned above.

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Answer:

true

Explanation:

I just had a test on this

Answer:

true

Explanation:

cause it is

The Newtos's second law and kinematics for the rotational movementa llows to find the result for the order of the velocities of the bodies is:  

       hoop < hollow sphere < solid cylinder < solid sphere

Newton's second law for rotational motion states that the net torque is proportional to the moment of inertia and the angular acceleration of the body.

           ∑ τ = I α

where the bold letters indicate vectors, τ is the torque, I the moment of inertia and α the angular acceleration.

The moments of inertia of bodies with high symmetry are tabulated.

Solid cylinder      I = ½ m R²

ring                      I = m R²

Solid sphere       I = \(\frac{2}{5}\) m R²

hollow sphere    I = ⅔ m r²

look for the acceleration of each object.

A) Solid cylinder.

            \(a_1 = 2 \frac{\sum \tau }{m R^2}\)  

            a₁ = 2 a₀

B) hoop or Ring.

            \(a_o = \frac{\sum \tau}{m R^2}\)

C) Solid sphere.

            \(a_2 = \frac{5}{2} \ \frac{\sum \tau}{m R^2 }\)  

            a₂ = 2.5 a₀

D) Hollow sphere.

           \(a_3 = \frac{3}{2} \ \frac{\sum \tau}{mR^2 }\)  

           a₃ = 1.5 a₀

if the bodies leave with the same initial velocity, the acceleration determines which one goes faster.

           w = w₀ + α t

suppose that the initial speed is zero.

           w = α t

Let us calculate the velocity for the bodies after 30 s.

hoop.

           w = 30 a₀

solid cylinder.

            w = 60 a₀

solid sphere.

            w = 75 a₀

hollow sphere.

            w = 45 a₀

In conclusion using Newton's second law and kinematics for rotational movement we can find the result for the order of the velocities of the bodies are:  

       hoop < hollow sphere < solid cylinder < solid sphere

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Given:

The mass of the car is m = 1725 kg

The initial velocity of the car is

The final velocity of the car is

The time is t = 4.4 s

To find the applied force.

Explanation:

The force can be calculated by the formula

Here, a is the acceleration.

The acceleration can be calculated as

On substituting the values, the force applied will be

Thus, the applied force is 3527.625 N

Answer:

  D. 3.0 × 10^-6 m

Explanation:

Wavelength is found by dividing the speed of light by the frequency:

  λ = c/f = (3·10^8 m/s)/(1.0·10^14 Hz) = 3.0·10^-6 m

Answer:

The ball has a potential energy of 53 J.

Explanation:

Mechanical energy, E = Kinetic energy + Potential energy

E = K.E + P.E

65 = 12 + P.E

P.E = 65 – 12

P.E = 53 J

Therefore the potential energy of the ball is 53 J

Answer:

53

Explanation:

on e2021

Answer:

4 ohms

Explanation:

Current = Voltage/resistance

2 = 8/R

2R = 8

R = 4

Answer:

Explanation:

Evolution/Advancement on the off chance that you see,then you will find this is a definitive revelation of science.It demonstrated that how people came into the world.How different creatures endure and from where they have hit on where they are today.All such things are the piece of development process.

New things advanced consistently from the past one and its a slow process.For anything to sprout you need a seed.As per the scientist,evolution is a reality and it is a steady procedure and it is happening.There are scarcely any situations where in the old harvest can yield new assortment as well.This is something many refer to as advancement only.Its a ceaseless process.Whatever comes,it accompanies certain misstep or zones of improvement,so if there happens to be a few changes would prompt improvement of new thing.

In the event that you see at an early stage,worms were available ,from where the fish came,then some went ahead land and began adjusting the progressions require to make due on land,started strolling on legs,developed lungs,then likewise there were advancement of the considerable number of things require to proceed with the life.All are the piece of development as it were.

hence,Darwin said,that natural selection can prompt evolution.This is likewise evident that so as to address the issue of food and nutrition,everybody works and as long as you get those needs,there will be development in all aspects.Similarly happened to the antiquated occasions when advancement occurred.

Hence,The development is truth and is a continuous procedure according to the science.When you go to demonstrate some case,there are consistently a point from where new methodology can be shaped and can prompt another disclosure.

If we consider the theory of evolution then we can say that it’s a proven theory, the reason people says that scientists don’t prove anything is because of the fact that they always implement “Precautionary principle” in their research finding.

Answer:

.

Explanation:

Answer:

a=5m/s

Explanation:

Forces going to the left:  \(F_{3}\)

Forces going to the right: \(F_{1}\) and \(F_{2}\)

To indicate the different directions, let the forces going to the left be negative, and the sign on forces going to the right be positive.

The total forces acting on the system are:

\(F_{1}\) + \(F_{2}\) + \(F_{3}\)

100N + 80N - 30N = 150N

The overall force is therefore 150N going to the right (sign is positive). Now time to find the overall acceleration:

Force = mass * acceleration

150 = 30a

a=5m/s

The momentum of the muon is \(2.47 \times 10^{-19}\) kg×m/s

The momentum of muon is given by,

\(P= \gamma m_{0} v\)

Where, we are given,

\(m_{0}\)= The rest mass of the particle = 207×\(m_{e}\)(207 times the electron mass)= \(207 \times 9.1 \times 10^{-31} kg\)=\(1.88 \times 10^{-28} kg\)

v= Velocity of the particle=0.975c = \(0.975 \times 3 \times 10^{8} m/s\)=\(2.92 \times 10^{8}\) m/s.

\(\gamma\)= The relativistic factor= \(\frac{1}{\sqrt{1-\frac{v^{2} }{c^{2} } } }\)=\(\frac{1}{\sqrt{1-(\frac{v }{c})^{2} } }\)=\(\frac{1}{\sqrt{1-(\frac{0.975c }{c})^{2} } }\)= 4.50

Now, we substitute the known values in the above equation,

\(P= \gamma m_{0} v\)

Or,\(P=4.50 \times 1.88 \times 10^{-28} \times 2.92 \times 10^{8}\)

Or, \(P=24.7 \times 10^{-20}\) kg×m/s

Or,\(P=2.47 \times 10^{-19}\) kg×m/s

From the above calculation we can conclude that the momentum of muon is \(2.47 \times 10^{-19}\) kg×m/s.

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An Ayrton shunt circuit is a device that measures the current through a component or branch of a circuit, and is a kind of current measuring instrument.

The circuit can be used to convert a current measurement to a voltage measurement, making it useful in a variety of applications.

Designing an Ayrton (universal) shunt circuit to convert a current measurement to a voltage measurement requires a few steps. The first step is to choose the right resistor for the shunt circuit.

This resistor should be chosen based on the expected current range that will be measured. Once the resistor has been chosen, it can be placed in the circuit.

The next step is to choose a suitable amplifier for the circuit. The amplifier should be chosen based on the expected output voltage range and the gain that will be needed.

Finally, the output of the amplifier should be connected to a suitable measurement device, such as a digital multimeter or an oscilloscope.

This will allow the user to accurately measure the voltage output of the shunt circuit, and hence, the current through the component or branch being measured.

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When a uniform rope hangs from a ceiling and you give the bottom of the rope a wiggle, the speed of the wave as the wave travels up the rope will remain constant.

A wave is a transfer of energy in which energy travels through a medium without the medium itself traveling. When the medium is influenced, this energy transmission can either be a mechanical wave, such as sound waves, or an electromagnetic wave, such as radio waves or light waves.

The way that waves transmit energy determines the characteristics of the wave.

The speed of the wave as it travels up the rope will remain constant due to the transverse nature of the wave that travels along a rope.

When a wave travels along a rope, the particles in the rope move perpendicular to the wave's direction. This is because the wave travels along a transverse plane, which means that it oscillates up and down at right angles to its propagation direction.

As a result, the rope will experience both compression and rarefaction, which will cause the wave to travel along the length of the rope in a manner that will maintain the speed of the wave constant.

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The kinetic energy οf the prοducts can be οbtained by subtracting the mass-energy equivalent frοm the Q-value.

Kinetic energy is the energy an οbject has because οf its mοtiοn. If we want tο accelerate an οbject, then we must apply a fοrce. Applying a fοrce requires us tο dο wοrk.

The Q-value οf a nuclear reactiοn represents the energy released οr absοrbed during the reactiοn. It can be calculated using the equatiοn:

Q = (m_initial - m_final) *\(c^2\)

where m_initial is the tοtal mass οf the initial particles, m_final is the tοtal mass οf the final particles, and c is the speed οf light.

The kinetic energy οf the prοducts can be οbtained by subtracting the mass-energy equivalent frοm the Q-value. This accοunts fοr the fact that part οf the energy released in the re actiοn is cοnverted intο kinetic energy οf the prοducts.

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Answer: Hope this is right

4 x 10^26 watts every second.

Explanation:

The sun, like all active stars, is a massive hydrogen-burning furnace producing huge amounts of light, heat and radiation, about 4 x 10^26 watts every second.

Answer:

Force = 3 Newton

Explanation:

Given the following data;

Mass = 200 g to kilograms = 200/1000 = 0.2 kg

Acceleration = 15 m/s²

To find the force;

Force = mass * acceleration

Force = 0.2 * 15

Force = 3 Newton

Answer:4.43 decibels louder for Jordan compared to Malik

Explanation:

To determine how much louder the rocket launch sound will be for Jordan compared to Malik, we need to use the inverse square law. This law states that as you move away from a sound source, the intensity of the sound decreases by the square of the distance. In other words, if you double the distance from a sound source, the intensity decreases to one-fourth of its original level.

Let's assume that the sound produced by SpaceX's new Starship rocket is at a constant intensity and emitted uniformly in all directions. If Jordan is 40% closer to the launch site than Malik, then we can assume that Jordan is at a distance of 0.6x from the launch site, where x is the distance from Malik to the launch site.

Using the inverse square law, we can calculate how much louder the rocket launch sound will be for Jordan compared to Malik:

(intensity at Jordan's location) / (intensity at Malik's location) = (distance from Malik's location)^2 / (distance from Jordan's location)^2

(intensity at Jordan's location) / (intensity at Malik's location) = (x)^2 / (0.6x)^2

(intensity at Jordan's location) / (intensity at Malik's location) = 1 / 0.36

(intensity at Jordan's location) = 2.78 x (intensity at Malik's location)

To convert this ratio of intensities into decibels, we can use the formula:

L = 10 log10 (I/I0)

where L is the sound level in decibels, I is the intensity of the sound, and I0 is a reference intensity of 10^-12 W/m^2.

Assuming that the reference intensity I0 is constant for both locations, we can simplify this formula to:

L = 10 log10 (intensity)

Therefore, the sound level for Jordan compared to Malik can be calculated as:

L = 10 log10 (2.78 x intensity) - 10 log10 (intensity)

L = 10 log10 (2.78)

L = 4.43 dB

Therefore, the rocket launch sound will be approximately 4.43 decibels louder for Jordan compared to Malik.

The speed of the raft when the 40 kg boy dives horizontally off it at a speed of 4.0 m/s is 0.60 m/s.

According to the law of conservation of momentum, the total momentum before the boy jumps off the raft is equal to the total momentum after he jumps off. The momentum of an object is given by the product of its mass and velocity.

Let the initial velocity of the raft be v (which is what we need to find), and the final velocity of the boy be v_boy = 4.0 m/s. The mass of the boy is 40 kg, and the mass of the raft is 600 kg.

Before the boy jumps off, the total momentum is the sum of the momentum of the boy and the momentum of the raft. After the boy jumps off, the momentum of the boy becomes zero, and only the momentum of the raft remains.

The initial momentum is given by the product of the mass and velocity of the boy: momentum_initial = 40 kg * 4.0 m/s.

The final momentum is the product of the mass and velocity of the raft: momentum_final = 600 kg * v.

Since momentum is conserved, we can equate the initial momentum to the final momentum: momentum_initial = momentum_final.

40 kg * 4.0 m/s = 600 kg * v.

Simplifying the equation, we find: v = (40 kg * 4.0 m/s) / 600 kg.

Calculating this, we get v ≈ 0.2667 m/s, which can be rounded to 0.26 m/s.

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A deflecting telescope is one with a lens as its objective and no mirror.

A deflecting telescope is one that makes use of a single or more curved mirrors to reflect light and generate a picture. Mirrors, rather than lenses, are employed in reflecting telescopes to gather light. The light in a reflector passes from the telescope tube to the big concave primary mirror, which reflects the light up the tube to the smaller convex secondary mirror, which reflects the light in relation to the eyepiece. Because light is reflected back and forth rather than traveling in a straight line from one end of the telescope tube to the other, reflecting telescopes are shorter than refractors.

Here,

A deflecting telescope has a lens as its objective rather than a mirror.

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Answer:

Time = 2758.62 seconds

Explanation:

Given the following data;

Speed = 290 m/s

Distance = 800 km to meters = 800 * 1000 = 800000

To find the time;

Time = distance/speed

Time = 800000/290

Time = 2758.62 seconds

Therefore, it will take the pilot 2758.62 seconds to reach the airport.

High conductivity B) indicates an ability to support current flow because the material offers minimal resistance. This property is essential in various applications, such as in the construction of electrical circuits and components, where efficient current flow is crucial to achieving optimal performance

High conductivity refers to a material's ability to efficiently conduct an electric current. Materials with high conductivity typically have low resistances, which means they do not hinder the flow of electric current. In contrast, materials with low conductivity have high resistances and obstruct the flow of electric current, making it more difficult for the current to pass through them.
When a material has high conductivity, it can easily support the flow of electric current because there is minimal resistance. This means that electrons can easily move through the material without losing energy or generating excessive heat. Examples of materials with high conductivity include metals such as copper, silver, and gold.
On the other hand, materials with low conductivity or high resistances, such as insulators like rubber, plastic, and glass, make it difficult for the current to flow. This is because these materials have a structure that does not allow electrons to move freely, leading to a build-up of energy and increased heat.

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