A solenoid with an self-inductance Lcarries a current described by i(t)=I0sin(60π). Which of the given equations describes the EMF induced in the coil?a. ε=−LI0cos(60πt).b. ε=−60πLI0sin(60πt)c. ε=−LI0sin(60πt).d. ε=−60πLI0cos(60πt).

At the University of Padua, Galileo was exposed to the theories of the ancient Greek philosopher Aristotle.

Aristotle's philosophy dominated the scientific world during the Renaissance and his ideas were taught at universities throughout Europe, including the University of Padua. Aristotle's theories were based on the concept of causality, which states that everything has a cause and effect, and that these causes and effects can be studied and understood. Aristotle's ideas on physics included the belief that objects in motion would come to rest if not acted upon by an external force, and that heavier objects fall faster than lighter objects. Galileo, however, would later challenge these ideas through his own experiments and observations. Galileo's exposure to Aristotle's theories at the University of Padua would have a profound impact on his later scientific work and he would go on to challenge many of Aristotle's ideas and contribute to the scientific revolution of the 17th century.

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A. direction in which  the residual nucleus move = 28°N of W ; B. The magnitude of its momentum = 1.02 . 10-20 Kg m/sec C. Recoil velocity =  28.3 km/s.

(a) Determine the direction:

0= pEr +pEe →p Er =−p Ee ,

0=p Sr +p Sn →pSr =−pSn

θr =arctan p Sr/p Ee

    = -4.8*10-21/-9.0*10-21

    = 28°N of W

(b) Determine the magnitude:

\((-4.4*10-21)2 + (-9*10-21)2\\\)

= 1.02 . 10-20 Kg m/sec

(c) Determine the velocity:

  v =  pr /m=28.3 km/s.

where p is the momentum of the residual nucleus and m is its mass. The magnitude of the momentum can be found using the result from (b), and the velocity can then be found by dividing this value by the mass of the residual nucleus.

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The order of descending total current coming out of the battery is Circuit 1, Circuit 2, Circuit 3, Circuit 4.

The total current coming out of the battery can be calculated by the formula I = V/R, where V is the emf of the battery (10 V in this case) and R is the total resistance of the circuit. From this, we can calculate the total current for each of the four circuits:

Therefore, the order of descending total current coming out of the battery is Circuit 1, Circuit 2, Circuit 3, Circuit 4.

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Miguel’s power output is 33.25 Watts.

Miguel's power output can be calculated using the formula:

Power = Force x Distance / Time.

In this case, the force applied by Miguel on the rock is 76 N and the distance the rock moves in the direction of the force is 7 m. The time for which the force is applied is 16 seconds.

Plugging in these values in the formula, we get:
Power = 76 N x 7 m / 16 s
Power = 33.25 Watts

Therefore, Miguel's power output while pushing the rock with a force of 76 N for 16 seconds and moving it at a distance of 7 m in the direction of the force was 33.25 Watts.

In this case, Miguel exerted a force on the rock to move it a distance of 7 m in the direction of the force. Power output gives an indication of how quickly Miguel was able to do this work. In other words, it tells us how quickly he was able to convert the energy he exerted into the movement of the rock. In this case, Miguel's power output was 33.25 Watts, which means that he was able to do the work of pushing the rock with a force of 76 N for 16 seconds at a relatively fast rate.

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Answer:

afrcrftftgyfygygygygygygyvyvuguvy5vyvycycy

shdhdggxshjwhwywsd dccefc

Answer:

15 less mins will be used by Bob

Explanation:

This is because it takes Tim 2000/50= 40mins to type the whole work

While it takes Bob 2000/80= 25 mins

So the difference 40-25= 15mins

Will be 15mins

Answer:

75 J

Explanation:

After collapsing from the shelf. The ball falls one fourth of the distance down. If we calculate 100 - 1/4 ×100= 75 J.

True. When a raceway is used for the support or protection of cables for fire alarm circuits, a bushing to reduce the potential for abrasion shall be placed at the location the cable emerge from the raceway.

This is required by the National Electrical Code (NEC) to ensure the safety and reliability of the fire alarm system. The bushing helps to protect the cable from damage and abrasion that could cause a short circuit or other malfunction in the system.

It is important to follow all NEC requirements when installing fire alarm circuits to ensure the system operates as intended in the event of a fire.

When a raceway is used for the support or protection of cables for fire alarm circuits, a bushing should be placed at the location where the cable emerges from the raceway to reduce the potential for abrasion. This ensures cable integrity and proper functioning of the fire alarm system.

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On the Moon, the astronaut's inertia will not change.

The characteristic of a substance that causes that substance to be at rest or to move continuously in a straight path is known as inertia.

The amount of inertia an object has depends on its mass; the more massive the object, the more inertia it has, and the less massive the object, the less inertia it has.

The weight of an object is calculated as the sum of its mass and gravitational acceleration.

W = mg

where m is the mass of the object and g is the acceleration due to gravity

Only the weight of the astronaut will vary due to variations in the degree of acceleration caused by gravity, keeping the astronaut's mass constant.

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Answer:

Therefore, the magnitude of the acceleration of the particle at the instant when its velocity is zero is approximately 18.258 m/s².

Explanation:

To find the magnitude of acceleration at the instant when velocity is zero, we need to differentiate the given velocity equation with respect to time (t) to obtain the acceleration equation.

Given:

Velocity equation: v(t) = 22 - 3.8t^2

Differentiating the velocity equation with respect to time, we get:

a(t) = d(v(t))/dt = -2 * 3.8t

To find the magnitude of acceleration at the instant when velocity is zero, we need to solve for t when v(t) = 0.

0 = 22 - 3.8t^2

3.8t^2 = 22

t^2 = 22/3.8

t^2 ≈ 5.789

Taking the square root of both sides, we find:

t ≈ √(5.789)

t ≈ 2.403

Now we can substitute this value of t into the acceleration equation to find the magnitude of acceleration at that instant:

a(t) = -2 * 3.8 * 2.403

a(t) ≈ -18.258

Therefore, the magnitude of the acceleration of the particle at the instant when its velocity is zero is approximately 18.258 m/s².

Answer:

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Answer: right now its djokovic

Explanation:

I am a federer and nadal fan but djokovic is dominating. federer has retired and nadal isnt at his best due to injuries and his age.

In an RC circuit, the relationship between the voltage across the capacitor (Vc) and the input voltage (Vin) can be described by a first-order linear differential equation. The differential equation for the given RC circuit with the provided parameters is: \(dVc/dt = (1/156) * Vin.\)

Given that the resistor has a resistance value of 12 (denoted as R) and the capacitor has a capacitance value of 13 (denoted as C), and the input voltage (Vin) is 2, we can derive the differential equation as follows:

The current (I) flowing through the circuit is given by Ohm's Law:\(I = Vin / R.\)

The voltage across the capacitor (Vc) is related to the current by the equation:\(Vc = (1/C) * ∫ I dt,\) where ∫ denotes integration with respect to time.

Taking the derivative of Vc with respect to time (t), we get: \(dVc/dt = (1/C) * d/dt ∫ I dt.\)

Substituting the expression for current (I), we have: \(dVc/dt = (1/C) * d/dt ∫ (Vin / R) dt.\)

Simplifying the equation, we obtain: \(dVc/dt = (1/RC) * Vin.\)

Therefore, the differential equation for the given RC circuit with the provided parameters is: \(dVc/dt = (1/156) * Vin.\)

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Answer:

A=4

B=3

c=2

D=1

Explanation:

since the person moving in opposite direction so displacement =distance in east/west - distance in west/east

Answer:

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The 50 kg box would accelerate at a rate of 11.8 m/s² when a 590 N force is applied.

To determine the acceleration of a 50 kg box when a force of 590 N is applied, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

The formula for Newton's second law is:

F = m * a

Where:

F is the net force applied,

m is the mass of the object,

a is the acceleration.

Rearranging the formula, we can solve for acceleration:

a = F / m

m = 50 kg

F = 590 N

Substituting the values into the formula:

a = 590 N / 50 kg

Calculating:

a = 11.8 m/s²

Therefore, the 50 kg box would accelerate at a rate of 11.8 m/s² when a force of 590 N is applied.

In summary, the box would accelerate at 11.8 m/s² if a person applied a force of 590 N to it.

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The word from the list that best fits the definition increases the number of sunspots that can lead to warmer climates.

Sunspots are transitory spots on the Sun's photosphere that appear to be deeper than the surrounding areas.

They are zones of reduced surface heat caused by magnetic field flux concentrations that prevent convection.

Sunspots usually form in pairs with opposite magnetic polarities. This has an impact on the temperature on Earth, as well as radio reaction. The Earth would presumably be colder if sunspots didn't exist.

When sunspots form, they produce an increase in UV radiation that radiates from the sunspots' outer ring as they approach Earth.

This increase in UV radiation has an impact on the chemistry of the outer environment as well as the Earth's energy balance.

The idea that sunspots have an impact on Earth's ecology is still controversial, although it does exist.

Hence the words from the list that best fits the definition increase the number of sunspots that can lead to warmer climates.

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Answer: You could measure the baseball's mass, the distance the ball traveled to hit the window, and finally find the time it took for it to reach the window. With this information, we can calculate the velocity of the baseball, and then the kinetic energy using the formula KE=1/2mv^2.

Answer:

10 floors

Explanation:

We are told that a bell of mass 20 kg is atop a tower and has 8829 J of gravitational energy. The question asks us to estimate the number of floors the tower has.

To do this, we must first calculate how high above the ground the bell is. We can do that using the formula for gravitational potential energy:

\(\boxed{g.p.e = mgh}\),

where:

• g.p.e = gravitational potential energy (8829 J)

• m = mass of object (20 kg)

• g = acceleration due to gravity (approximately 10 m/s²)

• h = height of object above ground (? m).

Using the above information and formula, we can solve for h:

g.p.e = \(20 \times 10 \times h = 8829\)

       ⇒ \(200 h = 8829\)

       ⇒ \(h = \frac{8829}{200}\)

       ⇒ \(h = \bf 44.145 \ m\)

Therefore the bell is 44.145 m above the ground, which means that the height of the tower is also 44.145 m.

One floor of a building can be estimated to be around 4.3 m, therefore the number of floors the tower has is:

44.145 ÷ 4.3

≈ 10

Therefore there are 10 floors in the tower.

The formulation for gravitational force does have the variables F, G, m1, m2, and r2.

The product of something like the gravitational constant as well as the masses of both the two items, divided with the square of such distance separating the two objects, would be the equation for the gravitational force among two things.

The formula is given as:

Force = (Multiplication of g, m  ) / square of distance among both the objects.

= F = (G × M × m (mass)) / r²

where,

Force = F

Gravitational Constant = G

Mass of one object = M

Mass of another object = m

Distance = r

Since all of the items in this situation share the same mass, the gravitational force equation is,

F = (G X M X m(mass)) / r² (distance)

Gravitational force was the force utilized by the earth to pull an item toward it. Issacs Newton made the discovery after seeing an apple fall from either the tree.

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The temperature for the blood that keeps longer is 120 K.

Temperature is a physical property of matter that quantitatively expresses the common notions of hot and cold. It is the measure of the thermal energy present in a system and is an intensive property, meaning that it is independent of the amount of material in the system. Temperature is measured in various scales, including Celsius, Fahrenheit, Kelvin and Rankine. At the molecular level, temperature is determined by the amount of thermal energy emitted from the particles in the system. In a solid, this thermal energy is transferred through the lattice structure, while in a gas, it is transferred through collisions between particles.

This is because -160°C on the Celsius scale is equivalent to 113 K on the Kelvin scale, and 4°C on the Celsius scale is equivalent to 277 K on the Kelvin scale. Therefore, the temperature of 120 K is the one that keeps the blood safe for the longest period of time.

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Relative velocity implies the the velocity of a given object being observed from another object. The relative velocity of rocket A relative to B is 4.38 x \(10^{7}\) m/s.

Relative velocity is the velocity of a given object with respect to a reference frame. Thus if the reference frame is another object at motion, then;

i. the velocity of A relative to B (Vab) = Va - Vb

ii. the velocity of B relative to A (Vba) = Va - Vb

In the given question, it can be deduced that:

speed of rocket a = 0.811c

where c = 3.0 x \(10^{8}\)

speed of rocket A = 0.811 x 3 x \(10^{8}\) m/s

                              = 243300000 m/s

speed of rocket B = 0.665 x 3.0 x \(10^{8}\) m/s

                              = 199500000 m/s

The velocity of rocket A relative to B = Va - Vb

                             = 243300000 - 199500000

                             = 43800000 m/s

The velocity of rocket A as observed from rocket B is 4.38 x \(10^{7}\) m/s.

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The Acceleration of the system is 6.41 m/s².

Given,

α= 15°, m₁ = 7kg

β= 65°, m₂ = 11 kg

Let, a be the acceleration and T is the tensions at the end it's the cord.

Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,

Resultant force, m₂a=m₂g sin β -T

11a=((11) ×g sin 65°) -T  ...(i)

Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.

Resultant force m₁a = m₁g sin α+T

7a =7g sin 15°+T  ...(ii)

Solving both the equations by adding them,

18a=11gsin 65°+7g sin 15°-T+T

18a=11gsin 65°+7g sin 15°=115.45

a=115.45/18=6.41 m/s²

Hence, the Acceleration of the system is 6.41 m/s².

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The scenario described involves an insulating sphere with a uniform volume charge distribution, carrying a charge q. The electric field passing through each of the three concentric Gaussian surfaces will be constant, and the net flux through each surface will also be the same.

There are three concentric Gaussian surfaces surrounding the sphere.

Gaussian surfaces are hypothetical surfaces used to analyze electric fields and charge distributions.

Considering the concentric Gaussian surfaces, the electric field due to a uniformly charged sphere is proportional to the charge enclosed by each Gaussian surface. In this case, since the charge distribution is uniform, the charge enclosed by each Gaussian surface will be proportional to the volume enclosed by that surface.

Since the sphere carries a uniformly distributed charge, the electric field at any point inside the sphere is zero. This means that the charge enclosed by each Gaussian surface will be the same, and hence, the electric field through each Gaussian surface will also be the same.

Therefore, the electric field passing through each of the concentric Gaussian surfaces will be constant, and the net flux through each surface will also be the same.

In summary, for the scenario described, the electric field passing through each of the three concentric Gaussian surfaces will be constant, and the net flux through each surface will also be the same.

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Answer:

uhm

Explanation:

the water cycle describes the continuous moving of water on earth with steps called evaporation condensation precipitation the other one

Answer:

The water cycle consists of Evaporation, Convection, Precipitation and Collection :3

Explanation:

:3

The tangential velocity of the ball is 0.63 m/s.

Tangential speed is the linear component of the speed of any object moving along a circular path.

v = ωr

where;

At a given radius of the circle = 0.3 m

Let the number of revolution per min = 20 rev/min

\(\omega = 20 \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} = 2.1 \ rad/s\)

v = ωr

v = 2.1 x 0.3

v = 0.63 m/s

Thus, the tangential velocity of the ball is 0.63 m/s.

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