American eels (Anguilla rostrata) are freshwater fish with long, slender bodies that we can treat as uniform cylinders 1.0 m long and 10 cm in diameter. An eel compensates for its small jaw and teeth by holding onto prey with its mouth and then rapidly spinning its body around its long axis to tear off a piece of flesh. Eels have been recorded to spin at up to 14 revolutions per second when feeding in this way. Although this feeding method is costly in terms of energy, it allows the eel to feed on larger prey than it otherwise could. The eel has a certain amount of rotational kinetic energy when spinning at 14 spins per second. If it swam in a straight line instead, about how fast would the eel have to swim to have the same amount of kinetic energy as when it is spinning? (a) 0.5 m/s; (b) 0.7 m/s; (c) 3 m/s; (d) 5 m/s.

Answer: 4.97 years

Explanation: I got the answers right

By the use of the Kepler's laws, the period of the orbit is 5.22 years. Option D

We know that when we are dealing with the orbits that our mind would have to be turned to the Kepler's law. In the Keplers law, we see the relationship that cold be used in the attempt to connect the period of the orbit to the radius of the semi major axis of an orbiting body.

By the application of the Keplers third law;

T^2 = r^3

The statement of the law is that the square of the period of the objects orbit is equal to the cube of the length of the semi major axis.

We then know that;

T = period

r = distance

Hence;

T = r^3/2

T = (3.01 )^3/2

T = 5.22 years

The period of the object is seen to be 5.22 years from the calculation above.

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The potential difference (voltage) between the plates is approximately 1.45 kV.

The kinetic energy of an electron can be related to the potential difference between the plates of an electric field using the equation:

KE = qV,

where KE is the kinetic energy of the electron, q is its charge, and V is the potential difference between the plates.

We know that the electron is accelerated from rest to a final velocity of 8 x 10^7 m/s, so its change in kinetic energy is given by:

ΔKE = 1/2 mv^2 - 1/2 m(0)^2 = 1/2 mv^2

where m is the mass of the electron.

The potential difference between the plates can be found by rearranging the equation to solve for V:

V = ΔKE / q

Substituting the values we have:

V = (1/2) mv^2 / q

The mass of an electron is approximately 9.11 x 10^-31 kg, and its charge is -1.6 x 10^-19 C. Substituting these values and the final velocity of 8 x 10^7 m/s, we get:

V = (1/2) (9.11 x 10^-31 kg) (8 x 10^7 m/s)^2 / (-1.6 x 10^-19 C)

V = -1.45 kV

Therefore, the potential difference (voltage) between the plates is approximately 1.45 kV.

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The magnitude of the force on the roof is 561,123.85 N.

The pressure of the air blowing across the roof is calculated by applying the following equation as shown below.

P = ¹/₂ρv²

where;

The given parameters include;

density of air, ρ = 1.29 kg/m³

speed of air, v = 155 mi/h = 69.29 m/s

The pressure of the air is calculated as follows;

P = ¹/₂ (1.29) (69.29)²

P = 3,096.71 Pa

The magnitude of the force is calculated as follows;

F = PA

Where;

F = 3,096.71 x 181.2

F = 561,123.85 N

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When the object is in equilibrium so the statement i.e. not true should be that object should be at rest.

In the case when the net force of an object should be zero at the time when it is in equilibrium. In the case when the net force should be zero the acceleration should also be zero. And, if the acceleration if zero so the speed and velocity should remain the same. So for maintaining the equilibrium, the object should not have to be only at rest.

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The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.

In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.

This is because as heat is applied to the liquid, its temperature increases at a consistent rate.

During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.

Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.

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Answer:

D  Is true - the velocities (and squared) follow the appropriate statistical curve

The molecules have a range of kinetic energies at a certain temperature.  As the temperature increases, their kinetic energy and molecular speed increases.

Kinetic theory of gases describes the nature of ideal gases and their volume, pressure and kinetic energy. As per this theory the gases are made of tiny particles which have negligible mass compared to that of the container.

Kinetic theory states that the kinetic energy of all gases increases with increase in temperature which is independent of the masses and and at certain temperature all the gases are having same range of kinetic energies.

The velocity of all the gaseous particles increases with increasing in temperature which results in the increase in kinetic energy. Hence, option D is correct.

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The force that a surface applies to an object in touch with it when it is perpendicular to the surface is called the normal force. Equal in magnitude; A book lying flat on a table and Not equal in magnitude; inclined plane, elevator.

Normal refers to something that is parallel to a surface. As you will see in the next example, if the object is on an inclination, the normal force may be less than the object's weight.

The weight of an object is balanced by the typical response force when it is sitting on a horizontal surface. Yet, not every situation lends itself to this. Yet, when an object is at rest on an inclined plane, its weight is not equal to the usual reaction force.

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The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.

When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.

For example, if the answer is 12.345, we would round it to 12.3.

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It takes same time for A and B to strike the plane.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

When a particle is thrown obliquely near the earth’s surface, it moves along a curved path under constant acceleration directed towards the centre of the earth. The path of such a particle is called a projectile, and the motion is called projectile motion.

So both A and B strikes the plane at same time.

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Answer:

See attached file

Explanation:

Answer:

Number of coils of conducting wire and whether or not domains are present in iron core are the two properties of the electromagnet that the researcher will need to take into account.

Explanation:

The number of coils of conducting wire affects the strength of the magnetic field produced by the electromagnet. More coils will produce a stronger magnetic field, while fewer coils will produce a weaker magnetic field. The researcher will need to determine the appropriate number of coils to produce the desired strength of the magnetic field for the medical application.

The presence of domains in the iron core is also an important consideration. The iron core of the electromagnet helps to concentrate the magnetic field and increase its strength. The domains in the iron core align with the magnetic field produced by the current flowing through the wire, and this alignment reinforces the magnetic field. If the iron core does not have domains, the magnetic field produced by the electromagnet will be weaker. Therefore, the researcher will need to ensure that the iron core has domains to maximize the strength of the magnetic field for the medical application.

The RC circuit, which is utilized in this experiment, is one of the most basic circuits that make use of a capacitor. When two conductors are linked to a charging device, the charge is passed from one conductor to the other.

When two conductors are connected to a charging device (such as a battery), the charge is transferred from one conductor to the other until the potential difference between the terminals of the charging device and the potential difference between the conductors are equal.

Capacitors are objects that have the capacity to hold electrical charge and energy. Capacitors have a wide range of uses, such as filters in DC power supplies and energy banks for pulsed lasers. Since capacitors only pass AC current and not DC current, they are used to block the DC component of a signal so that the AC component of the signal may be detected.

Plasma physics makes use of the energy-storage capabilities of capacitors. In plasma physics, short energy bursts with extremely high voltages and currents are frequently needed. A capacitor can be softly charged to the necessary voltage and then quickly discharged to yield the necessary energy.

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The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

The given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:

The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:

Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26

Normalize the vector by dividing each component by the magnitude:

Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k

Multiply the normalized vector by the desired magnitude:

To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:

Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)

Simplifying the expression gives:

Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k

So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

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A book is sitting on a desk is due to the Gravitational force of Earth Gravity so D. the downward force the Earth pulls on the book.

The force of attraction between all masses that is objects in the universe, especially the attraction of the Earth's mass for bodies near its surface.

Einstein said that the shape of spacetime is responsible for the rise of force that we experience as gravity. A concentration of mass, such as the Earth or sun, bends space around it like a rock bends the flow of a river.

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According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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The vector that is perpendicular to the original vector is vector B = (√3 i  - 2√3 k )

The vector that is perpendicular to the original vector is calculated as follows;

Let the vector = B = (xi + 0j + zk)

The dot product of A and B must be equal to zero.

A . B = (2i + 3j + k) . (xi + 0j + zk)

A.B = 2x  + z = 0

2x = - z

The product of the vector must be √15 and it is calculated as;

√ (x² + z²) = √15

x² + z² = 15

Substitute the value of x for z;

x²  +  (-2x)² = 15

x² + 4x² = 15

5x² = 15

x² = 15/5

x² = 3

x = √3

z = - 2x

z = -2√3

The vector B = (√3 i  - 2√3 k )

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Answer:

3 m/s²

Explanation:

acceleration = Force / mass;  4.5/1.5 = 3

When a student applies a net force of 4.5 Newtons to the 1.5-kilogram textbook, then the magnitude of the acceleration would be 3 meters/second².

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem, when a student applies a net force of 4.5 Newtons to the 1.5-kilogram textbook, then we have to find the magnitude of the acceleration,

the applied force on the textbook = 4.5 Newtons

the mass of the textbook is 1.5 kilograms

acceleration of the textbook = force / mass

                                             =4.5 Newtons /1.5 kilograms

                                             =3 meters/second²

Thus, the magnitude of the acceleration would be 3 meters/second².

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Answer:

The cork moves up and down.

Explanation:

The cork moves up and down because of the waves produce due to tapping the surface of water. The cork experience movement due to placed on the water surface so when the wave passes through the medium by tapping of water, movement of cork also occur. Cork has high volume and lower mass so it floats on the water surface and experience movement due to waves.

Explanation:

Givens:

\(h = 20 \: m\)

\(v _{ix} = 15 \cos(37) = 11.97\)

\(v _{iy} = 15 \sin(37) = 9.03\)

\(a _{y} = - 9.8\)

Let t=2 be the final velocity. Since Velocity stays the same horizontal , acceleration due to gravity changes the vertical direction

Use this equation

\(v _{y} = v _{iy} + a _{y}(t) \)

Plug in the knowns

\(v _{y} = 15 \sin(37) +2 ( - 9.8)\)

\(v _{y} = - 10.57\)

So the velocity in the y direction at 2 seconds is -10.57

The velocity in the x direction at 2 seconds is 11.97

Use the Pythagorean theorem to find the total velocity

\(v = \sqrt{( - 10.57) {}^{2} + (11.97) {}^{2} } \)

\(v = 15.97\)

b. The range at which it strike the ground.

We need to find when the velocity at the top is zero.

Using the y direction,

\(0 = v \sin( 37 ) - 9.8(t)\)

\(t = 0.921\)

Next, find the height of the max.

\(h = \frac{1}{2} ( 9.8)(0.921) {}^{2} = 4.16\)

So the total distance is 4.16+20= 24.16

Next to find the total time it falls

\(24.16 = \frac{1}{2} (9.8) {t}^{2} \)

\(t = 2.2\)

So our total flight time is

\(3.141\)

Range is

\(v \cos(37) (3.141) = 37.63\)

Answer:

fundamental formula for density = kg/m³

Explanation:

density = mass/volume

Answer:

the height of the bridge above the water is 49.6 m.

Explanation:

Given;

initial velocity of the stone, u = 15 m/s

time of motion of the stone, t = 2 s

The height of the bridge above the water is calculated from the following kinematic equation as follows;

h = ut + ¹/₂gt²

h = (15 x 2) + ¹/₂(9.8)(2²)

h = 30 + 19.6

h = 49.6 m

Therefore, the height of the bridge above the water is 49.6 m.

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Answer:

230° C

Explanation:

A substance's specific heat tells you how much heat much either be added or removed from 1 g of that substance in order to cause a 1∘C

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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Answer:

\(\boxed {\boxed {\sf 25 \ Watts}}\)

Explanation:

Power is the work done divided by the time. It can be found using the following formula.

\(P=\frac{F*D}{T}\)

The force is 50 Newtons, the distance is 10 meters, and the time is 20 seconds.

\(F= 50 \ N \\D= 10 \ m \\T= 20 \ s\)

Substitute the values into the formula.

\(P=\frac{50 \ N * 10 \ m}{20 \ s }\)

Multiply the numerator first.

\(P=\frac{500 \ N*m}{20 \ s}\)

\(P= \frac{500 \ J}{20 \ s}\)

Divide.

\(P= 25 \ J/s\)

\(P= 25 \ W\)

It takes 25 Watts to lift a 50 Newton object 10 meters high in 20 seconds.

The answer is Positively and negatively charged particles are attracted to each other.

1.00 kg of ice at -24.0°C is placed in contact with a 1.00 kg block of a metal at 5.00°C. They come to equilibrium at -8.88°C.

We can use the principle of conservation of heat to solve this problem. The heat lost by the metal must equal the heat gained by the ice.

The heat lost by the metal is given by

Q1 = m1c1ΔT1

Where m1 is the mass of the metal, c1 is its specific heat, and ΔT1 is the change in temperature.

The heat gained by the ice is given by

Q2 = m2c2ΔT2

Where m2 is the mass of the ice, c2 is its specific heat, and ΔT2 is the change in temperature.

Since the two objects come to thermal equilibrium, we can set Q1 equal to Q2

m1c1ΔT1 = m2c2ΔT2

Solving for c1, we get

c1 = m2c2ΔT2 / (m1ΔT1)

By putting these values we get

c1 = (1.00 kg)(2.06 kJ/kg·K)(-24.0°C - (-8.88°C)) / [(1.00 kg)(5.00°C - (-8.88°C))]

c1 = 0.902 kJ/kg·K

Hence, the specific heat of the metal is 0.902 kJ/kg·K.

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