A hypodermic needle consists of a
syringe of radius 8.30*10^-3 m,
connected to a needle with an inner
radius of 2.45*10^-4 m. A nurse pushes
the plunger at 0.00700 m/s, and the
fluid flows through the needle and into
the air. How fast does the liquid come
out of the needle?

Answer:

29.43 m/s

Explanation:

The velocity of the ball just before it strikes the ground can be found using the formula for free fall:

v = gt

where v is the velocity of the ball just before it strikes the ground, g is the acceleration due to gravity (9.81 m/s^2), and t is the time it takes for the ball to reach the ground (3.0 s).

Substituting the given values into the formula, we get:

v = gt

v = 9.81 m/s^2 × 3.0 s

v = 29.43 m/s

Therefore, the velocity of the ball just before it strikes the ground is 29.43 m/s.

The temperature of its hot reservoir would be = 210k

The highest theoretical engine efficiency (η)= 30% =0.3

The temperature of the engine cold reservoir (T1)= 300k

Therefore the temperature of the engine hot reservoir (T2) = ?

Using this formula:

η=1- T2/T1

Make T2 the subject formula:

T2= T1 (1 - η)

T2 = 300 ( 1-0.3)

T2 = 300 × 0.7

T2 = 210k

Therefore, the temperature of its hot reservoir would be = 210K.

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8.27 x 1013 meres is the orbital radius.

Jupiter's mass, 1.9 x 1027 kg, and the time interval, 16.9 days, are equal to 1.46 x 106 seconds. The radius is needed, thus r. Solution

The moon must be held in its orbit by a gravitational force equal to the centripetal force between Jupiter and the moon.

6.67 x 10⁻¹¹ N/m²kg

2 x 1.9 x 10/27 x 1.46 x 10'6 / 4 r = 6.85 x 102'7 G = 6.67 x 10'11 N/m2kg2 r = 8.27 x 10'7

The second-largest moon in Jupiter's orbit and the third-largest moon in the solar system is called Callisto. Of all the objects in our solar system, its surface has the most craters.

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Answer:

A meteor

Explanation:

It travels so fast, that when it enters earth's atmosphere it burns up leaving that trail of fire which makes it look like a shooting star.

Answer:

meteor

Explanation:

Its right on edge 2021!

Answer:

it will be 10x

Explanation:

workdone(potential energy before it hits the wall)= horizontal force × distance

=10× x = 10x joules

A mysterious constant force of 10 N acts horizontally on everything. The direction of the force is found to be always pointed toward a wall in a big hall.The potential energy of a particle due to this force is  10x.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question a mysterious constant force of 10 N acts horizontally on everything. The direction of the force is found to be always pointed toward a wall in a big hall the potential energy,

Work done (potential energy before it hits the wall)

= horizontal force × distance

=10× x = 10x joules

The potential energy of a particle due to this force is  10x.

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Answer:

at the end of its first second of fall

Explanation:

Can I have brainliest

The mass of Brachiosaurus moves with a momentum of 134,054 kgm/s  and the velocity is 3.9 m/s, which is 34.37 kg.

The momentum is the product of mass and velocity. The momentum is the vector quantity and the unit of momentum is Kgm/s.

Momentum = mass × velocity

 mass    = momentum/velocity

momentum =  134,052 kgm / s

velocity = 3.9 m/s

mass = 134052 / 3.9

         = 34.37 kg

Thus, the mass of Brachiosaurus is 34.37 kg.

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Spinning a magnet near a wire would generate a current.

The circuit must make a complete loop and must have all parts connected to that loop.

When a magnet approaches a conductor, such as a wire, the magnetic field changes, causing the wire to conduct electricity. Electromagnetic induction is a process that underlies the operation of electric motors and generators.

Electromagnetic induction and is the basis for how generators and electric motors work and it explains the fact that current is generated by a spinning a magnet near a wire.

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At maximum height, velocity is zero and kinetic energy will be zero.

K.E(A) = 0

P.E(A) = mgh = 200 x 9.8 x 30 = 58,800 J

K.E(B) = P.E(A) - P.E(B)

K.E(B) = 58,800 J - (200 x 9.8 x 25)

K.E(B) = 58,800 J - 49,000 J

K.E(B) = 9,800 J

K.E = ¹/₂mv²

v² = 2K.E/m

v² = (2 x 9800)/(200)

v² = 98

v = √98

v = 9.9 m/s

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The top velocity of the second stage is 8000 m/sec.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

m₁v₁ = m₂v₂

2000*800 = 200 * v

v₂ = 8000 m/sec  

The top speed of the second stage is 8000 m/sec.

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The ball's velocity at half of the maximum height relative to the equilibrium point is approximately 1.727 m/s.

To solve this problem, we make useof the law of conservation of energy. The initial potential energy of the system (when the ball is at its highest point before being released) is equal to the final potential energy (when the ball reaches half of its maximum height above the equilibrium point) plus the final kinetic energy.

Initial potential energy = mgh = 0.15 kg x 9.81 m/s² x 0.18 m = 0.26523 J

At half of the maximum height, the ball has traveled a distance of 0.09 meters above the equilibrium point.

Final potential energy = mgh = 0.15 kg x 9.81 m/s² x 0.09 m = 0.132615 J

To find the final kinetic energy, we can use the fact that the spring potential energy at half of the maximum height is equal to the initial potential energy minus the final potential energy:

Spring potential energy = (1/2)kx² = (1/2)(690 N/m)(0.18 m - 0.09 m)² = 0.008415 J

Final kinetic energy = Initial potential energy - Final potential energy - Spring potential energy

Final kinetic energy = 0.26523 J - 0.132615 J - 0.008415 J = 0.1242 J

Finally, we can use the equation for kinetic energy to find the velocity of the ball at half of the maximum height:

Final kinetic energy = (1/2)mv²

v = \(\sqrt{(2 x Final kinetic energy / m) }\)= \(\sqrt{(2 x 0.1242 J / 0.15 kg)}\) = 1.727 m/s

Therefore, the ball's velocity at half of the maximum height relative to the equilibrium point is approximately 1.727 m/s.

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Answer: both force and gravitational force

Explanation:

The magnitude of horizontal force, is 33.27 N.

Length of the uniform bar, L = 24 m

Mass of the uniform bar, m = 5 kg

Angle between the cord and the bar, θ₁ = 90°

Angle between the cord and the wall, θ₂ = 50°

For the horizontal equilibrium,

Hₓ = T sinθ₂

Hₓ = T x sin 50

Hₓ = 0.766 T

For the vertical equilibrium,

Hy + T cosθ₂ = mg

Hy + T cos 50 = 5 x 9.8

Hy + 0.642 T = 49 N

For rotational equilibrium,

mg (L/2) = T x L

So,

T = mg/2 = 5 x 9.8/2

T = 24.5 N

Therefore, the magnitude of horizontal force,

Hy = 49 - (0.642 x 24.5)

Hy = 49 - 15.73

Hy = 33.27 N

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At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.

To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.

The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:

\(C_H\)+ = \(10^(^-^p^H^)\)

Substituting pH = 8 into the formula:

\(C_H\)+ = \(10^(^-^8^))\)

Using the properties of logarithms, we can calculate the concentration of H+ ions:

\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L

According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.

To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:

Ratio = \(C_H\)+ / \(C_O_H\)-

Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))

Ratio = 1:1

The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.

When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.

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Answer: 2.256

Explanation:

Answer:

This is a percent change problem. The CO2 emitted by a car using gas is 4.7 MMt per year. The CO2 emitted by a car using corn ethanol made from biomass is 52% less than 4.7 MMt.

Find 52% of 4.7 MMt:

0.52 × 4.7 = 2.444.

Subtract 2.444 MMt from 4.7 MMt:

4.7 − 2.444 = 2.256.

The solution is 2.256 MMt.

Explanation:

PLATO

The current remains the same in all parts of a series circuit.

The correct option is B.

A circuit is a complete path for the flow of electric current.

A series circuit is a circuit that the component of the circuit are connected end-to-end and the flow of current is in one direction.

Another form of connection is the parallel connection in which current flows through alternate paths.

In a series circuit, the flow of current is constant and remains the same in all parts of a series circuit. However, the voltage across the circuit varies.

In a parallel circuit,  the voltage is constant and remains the same in all parts of a parallel circuit.  However, the flow of current across the circuit varies.

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Answer:

The answer is "Yes, because the lengths and cross-sectional areas of the rods can be measured".

Explanation:

From resistance: \((R) =\frac{SL}{A}, \ R=\frac{V}{I}\) Thus we have V and I values, and if length (L) or cross-section zone could be specified (A) So, you can compare that resistivity, that's why the above-given answer is correct.

A wire perpendicular to the screen carries a current and then the direction of the magnetic field at point Z is upward

To determine the direction of the magnetic field at point Z, we need to apply the right-hand rule for current-carrying wires. The right-hand rule states that if you point your right thumb in the direction of the current flow, then the direction in which your fingers curl represents the direction of the magnetic field around the wire.

In the given scenario, the wire is perpendicular to the screen, and the current is flowing in the direction shown by the arrow (from left to right). To determine the magnetic field at point Z, we can imagine wrapping our right hand around the wire such that our fingers curl in the direction of the current (from left to right). When we do this, our thumb points in the upward direction.

Therefore, the direction of the magnetic field at point Z is upward. This means that the magnetic field lines around the wire at point Z are oriented in a counterclockwise direction when viewed from above the screen.

It's important to note that the direction of the magnetic field depends on the direction of the current flow. If the current were flowing in the opposite direction (from right to left), the direction of the magnetic field at point Z would be downward.

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By dividing each side of the voltage triangle by its current, I, an impedance triangle for a series RLC circuit can be created. The source voltage is equal to I*Z, the voltage across the two reactive elements is I×X = I×XL – I*XC, and the voltage drop across the resistive element is equal to I*R.

At resonance, the impedance, Z, is at its lowest value, (=R), because the current flowing through a series resonance circuit is the product of voltage divided by impedance.

Therefore, the circuit current will be at its maximum V/R value at this frequency.

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The speed of the wave that is propagated is 10 meters per second.

A wave is a disturbance or variation that gradually conducts electricity from point to point in a medium and can take the form of elastic deformation or a change in pressure, electric or magnetic intensity, electric potential, or temperature

The speed of a wave is determined by the frequency of the wave and its wavelength. In this case, the child is sending pulses down the rope at a rate of 2 pulses per second, so the frequency is f = 2 Hz.

The distance between the pulses is 5 meters, which is the wavelength of the wave, represented by lambda (λ).

The speed of the wave (v) is given by the formula:

v = f * λ

Substituting the values we have, we get:

v = 2 Hz * 5 m = 10 m/s

Therefore, the speed of the wave is 10 meters per second.

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Answer:

\(\mu=0.185\)

Explanation:

From the question we are told that:

Mass \(m=17kg\)

Force \(F=33N\)

Velocity \(v=1.6m/s\)

Distance \(d= 9.8m\)

Generally the equation for Work done is mathematically given by

 \(W=\triangle K.E+\triangle P.E\)

Where

 \(\triangle K.E=(F-F_f)*2\)

 \(F_f=F+\frac{\triangle K.E}{d}\)

 \(F_f=33+\frac{0.5*17*1.6^2}{9.8}\)

 \(F_f=30.8N\)

Since

 \(f = \mu*m*g\)

 \(\mu= 30.8/(m*g)\)

 \(\mu= 30.8/(17*9.81)\)

 \(\mu=0.185\)

Temperature of iron (Ti) = 415 °C Temperature of water (Tw) = 15.0 °CTemperature at equilibrium (Te) = 100 °CMass of water (m) = 0.625 kgMass of steam evaporated (ms) = 0.144 kgHeat lost by iron (Q1) = Heat gained by water (Q2) + Heat required to evaporate steam .

Heat lost by iron  = (mass of iron (m) x specific heat capacity of iron (c) x change in temperature of iron (ΔT1))Heat gained by water = (mass of water (m) x specific heat capacity of water (c) x change in temperature of water (ΔT2))Heat required to evaporate steam  = (mass of steam (ms) x specific latent heat of vaporization of water (L))Now, using the above formula we can calculate the mass of the iron block as:

Q3m x c x ΔT1 = m x c x ΔT2 + ms x L

Let's calculate the value of Q1 first.

Q1 = m x c x ΔT1m = Q1 / (c x ΔT1)

We know that

c = 450 J/kg °C and ΔT1 = Ti - Te = 415 - 100 = 315°CQ1 = m x c x ΔT1= m x 450 J/kg

°C x 315°C= 141750 m Jm = Q1 / (c x ΔT1)= 141750 / (450 x 315)= 1.002 kg

Now, let's calculate the value of Q3.Q3 = ms x L= 0.144 kg x 2.26 x 10^6 J/kg= 325440 J

Now, let's calculate the value of Q2

.Q2 = m x c x ΔT2m = (Q2 + Q3) / (c x ΔT2)

We know that ΔT2 = Te - Tw = 100 - 15 = 85°CQ2 = m x c x ΔT2= 0.625 kg x 4186 J/kg °C x 85°C= 276981.25 JNow, let's calculate the mass of the iron block.m =

(Q2 + Q3) / (c x ΔT2)= (276981.25 + 325440) / (450 x 85)= 1.003 kg

Hence, the mass of the iron block is 1.003 kg rounded off to 3 significant figures.

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Answer:

which on a is the question

Answer:

1) the mass of the toy is 0.304 kg

2) the amplitude of the motion is 0.1524 m

3) the maximum speed obtained by the object during its motion is 4.87 m/s

Explanation:

Given the data in the question;

force constant of spring k = 310 N/m

position of toy x = 0.120 m

speed v = 3 m/s

Total energy E = 3.6 J

let m represent mass of toy.

1.) Find the mass of the toy.

we know that; The total energy of the system equals the sum of kinetic energy of the toy and the potential energy of the spring;

E = \(\frac{1}{2}\)kx² + \(\frac{1}{2}\)mv²

we substitute

3.6 = ( \(\frac{1}{2}\) × 310 × (0.120)² ) + ( \(\frac{1}{2}\) × m × (3)² )

3.6 = 2.232 + 4.5m

3.6 - 2.232 = 4.5m

1.368 = 4.5m

m = 1.368 / 4.5

m = 0.304 kg

Therefore, the mass of the toy is 0.304 kg

2) Find the amplitude of the motion.

we know that;

E = \(\frac{1}{2}\)kA²

where A is the amplitude of the motion,

we substitute

3.6 = \(\frac{1}{2}\) × 310 × A²

3.6 = 155 × A²

A² = 3.6 / 155

A² = 0.0232258

A = √0.0232258

A = 0.1524 m

Therefore, the amplitude of the motion is 0.1524 m

3) Find the maximum speed obtained by the object during its motion;

we know that;

E = \(\frac{1}{2}\)m\(v_{max\)²

where \(v_{max\) is the maximum speed

so we substitute

3.6 = \(\frac{1}{2}\) × 0.304 × \(v_{max\)²

3.6 = 0.152 × \(v_{max\)²

\(v_{max\)² = 3.6 / 0.152

\(v_{max\)² = 23.6842

\(v_{max\)² = √23.6842

\(v_{max\)² = 4.8664 ≈ 4.87 m/s

Therefore, the maximum speed obtained by the object during its motion is 4.87 m/s

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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Answer:

3.94 s

Explanation:

Take down to be positive.  Given:

Δy = 76.0 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

76.0 m = (0 m/s) t + ½ (9.8 m/s²) t²

t = 3.94 s

Answer:a

Explanation:

Answer:

move

Explanation:

mechanical is physical

Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.

Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.

When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.

This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.

As the spring moves up to be compressed by only 0.30 m, the change in elastic potential energy will be 0.045 k J.

Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring.

Given,

The spring moves up to be compressed by a displacement = 0.30 m

And the elastic potential energy (U) for a spring can be calculated as:

\(U = \frac{1}{2} k x^{2}\)

Where k = spring constant and is measure in N/m

and x = change in length of the spring or the displacement of the spring

\(U = \frac{1}{2} k (0.30)^{2}\)

\(=\frac{1}{2} k (0.09)\)

\(=0.045 k\) J

Hence, the change in elastic potential energy is 0.045 k J.

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