A disc whose moment of inertia is 1kgm² is rotating at 100 rad/sec. This disc is pressed against a similar disc that is able to rotate freely but is initially at rest. The two disc together and rotate as a unit. Determine the final angular velocity of the system.​

The puck is moving at an angle of 51 degrees from the x-axis.

As we can see from the graph of the question the value of x component of velocity  \(v_{x}\) is nearly 24 cm/s and the value of y component of velocity \(v_{y}\) is constant throughout the journey of puck and is equal to 30cm/s. For any instant of time the direction is given by the slope of the graph tanθ which is equal to the y component divided by the x component.

At the instant when t= 3s

\(v_{x}= 24 cm/s\\v_{y}= 30 cm/s\\\)

Direction is given by the slope of the graph  

tanθ= \(\frac{v_{y} }{v_{x} } = \frac{30}{24}\)=  1.25

θ= 51 degrees from x-axis (in anti-clockwise manner)

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Answer:

visible waves are needed for green plants to grow.

Explanation:

During photosynthesis, chlorophyll absorbs energy from blue- and red-light waves, and reflects green-light waves, making the plant appear green.

Galileo Galilei was the scientist who originally proposed the idea of inertia. The resistance of an object to any alteration in its motion is known as inertia.

A key idea in physics is inertia, which defines an object's resistance to changes in motion. The Latin word "iners," which means "without skill" or "inactive," is where the word "inertia" originates. An object's inertia is directly inversely related to its mass. Greater inertia and resistance to changes in motion are characteristics of heavier objects compared to lighter ones. Several facets of physics, such as mechanics, thermodynamics, and relativity, depend on inertia. It is also crucial to take into account in everyday life and engineering, where it affects how buildings, automobiles, and other structures are designed. We can better understand how things behave in the physical world by using the concept of inertia.

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Answer:

Explanation:

A capacitor is an electronic component that stores and releases electrical energy. It consists of two conductive plates separated by an insulating material called a dielectric. When a voltage is applied across the plates, charge accumulates on them, creating an electric field between the plates.

The capacitance of a capacitor is a measure of its ability to store charge. It is typically represented by the symbol 'C' and is measured in farads (F). In your case, you mentioned a 55-μF (microfarad) capacitor, indicating its capacitance value.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The rate at which the capacitor charges and discharges depends on the capacitance and the resistance in the circuit

Since there is no figure provided in the text, I am unable to reference it for the specific details of the voltage waveform. However, I can explain the general behavior of a capacitor when a voltage waveform is applied.

When a voltage waveform is applied across a capacitor, the capacitor charges and discharges in response to the changes in voltage. The behavior of the capacitor is determined by its capacitance, which is given as 55 μF in this case.

As the voltage waveform varies, the capacitor stores and releases electrical charge. During the rising portion of the waveform, the capacitor charges and accumulates energy. During the falling portion, the capacitor discharges and releases the stored energy.

The exact behavior and characteristics of the voltage waveform and the charging/discharging process depend on the specific shape and frequency of the waveform. Without the specific details of the voltage waveform provided in the figure, it is challenging to provide a more detailed analysis.

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El flujo magnético a través de una bobina con 460 vueltas de superficie de 2 m² cuyo eje forma un ángulo de 60 ° con un campo magnético uniforme de 2 es 779.42 Weber

La fórmula para calcular el flujo magnético a través de una bobina se expresa como:

\(\phi = NABsin\theta\) dónde:

Dados los siguientes parámetros

N = 450 turns

A = 2 m²

B = 2

\(\theta\) = 60degrees

Sustituya los parámetros dados en la fórmula como se muestra:

\(\phi=450 \times 2\times 2sin60^0\\\phi = 900sin60^0\\\phi = 900(0.8660)\\\phi=779.42Weber\)

El flujo magnético a través de una bobina con 460 vueltas de superficie de 2 m² cuyo eje forma un ángulo de 60 ° con un campo magnético uniforme de 2 es 779.42 Weber

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The hamster is running at a linear velocity of 6.5π cm/sec.

a) To find the angular velocity of the wheel, we can use the formula:

angular velocity (ω) = 2π / time period

where time period is the time taken for one revolution. In this case, the hamster takes 4 seconds to complete one revolution, so the time period is 4 seconds. Substituting this value into the formula, we get:

ω = 2π / 4 = π / 2

Therefore, the angular velocity of the wheel is π / 2 radians/sec.

b) To find the linear velocity of the hamster, we need to know the distance traveled by a point on the circumference of the wheel in one revolution. This distance is equal to the circumference of the wheel, which is:

circumference = 2πr = 2π(13) = 26π cm

The hamster completes one revolution in 4 seconds, so its speed can be found using the formula:

speed = distance / time

Substituting the values we have found, we get:

speed = 26π / 4 = 6.5π


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The efficiency of moving the box is 60%.

Given in the question

Force exerted by peter = 500 N

Force due to friction on box = 200 N

Distance Traveled by box = 3 meters

Now work done by the force is given by

Work Done = (Magnitude of Force) × (Distance traveled)

Let us find work done by each force,

Work done by peter

Work Done = (Magnitude of Force) × (Distance traveled)

Put in the value, we get

Work Done =500 × 3

Work Done by peter = 1500 J

Similarly, Work done by friction

Work Done = (Magnitude of Force) × (Distance traveled)

Put in the value, we get

Work Done =200 × 3

Work Done by Friction = 600 J

As we know the work done by friction force is always negative,

Work Done by Friction = -600 J

So, net Work done = Work Done by peter + Work Done by Friction

net Work done = 1500 - 600

Net Work done = 900 J

Now Efficiency = (Net work done/work done by peter) × 100

Put in the values, we get

Efficiency = (900/1500) × 100

Efficiency = (3/5) × 100

Efficiency = 300/5

Efficiency = 60 %

So, the efficiency of moving the box is 60%.

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Answer:

mistakes are called. mutations. mutations are. changes in the sequence of DNA. mistakes can be made during the DNA replication process but DNA replication process has features that reduce mutations.

Explanation:

hope this helps

The wavelength of the light beam having a frequency of 6 × 1017 hz is 0.05 nm.

To calculate the wavelength of a light beam, we can use the formula:

λ = c/f

Where λ is the wavelength, c is the speed of light and f is the frequency of the light.

The speed of light is approximately 3 x 10^8 m/s, we can use this value to find the wavelength.

λ = c/f

λ = (3 x 10^8 m/s) / (6 x 10^17 Hz)

λ = 0.05 nm

So the wavelength of the light beam is 0.05 nm.

It's important to mention that the wavelength is inversely proportional to the frequency, meaning if the frequency is high the wavelength is short and if the frequency is low the wavelength is long.

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Answer ideal mechanical advantage

Answer:

Is this a real question or real life?

Explanation: but If you do go What I would do is like act like your drinking beer and then like act drunk to fit in but if your like to young to drink beer you should not get drunk

The angle between the incident ray and the reflected ray of the laser beam is 86°.

When a laser beam strikes a plane mirror, the angle between the incident ray and the reflected ray is equal to the angle of incidence. This is known as the law of reflection. In this case, the laser beam strikes the mirror's reflecting surface with an angle of incidence of 43°, so the angle of the reflected ray will also be 43°. This means that the reflected ray will bounce off the mirror at an angle of 43° away from the incident ray. This law of reflection is important in understanding how light interacts with surfaces and can be used in various applications, such as in telescopes and cameras.

In this case, the angle of incidence is 43°, so the angle of reflection is also 43°. To find the angle between the incident ray and the reflected ray, simply add the two angles together: 43° + 43° = 86°. Therefore, the angle between the incident ray and the reflected ray is 86°.

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Answer:

Protons+ Neutrons=Atomic weight

Explanation:

Of the three subatomic particles, only protons and neutrons have mass. Electrons orbit the nucleus and their mass is negligible.

Answer:

C. Protons + Neutrons = Atomic weight

Explanation:

The total weight of an atom is called the atomic weight. It is approximately equal to the number of protons and neutrons, with a little extra added by the electrons.

Answer:

B

Explanation:

The final speed of the bike is 5 m/s.

Speed is  measured as the ratio of distance to the time in which the distance was covered.

To calculate the final velocity, we use the formula below.

Formula:

v = u+at................ Equation 1

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the final speed of the bike is 5 m/s.

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Answer: 4 m/s

Explanation:

The scooter's velocity after 2 seconds of its start will be 4 m/s.

The first equation of motion is -

v = u + at

Given is Ms. Reitman's scooter that starts from rest and accelerates at

2 m/s².

We can write -

[a] = 2 m/s²

[t] = 2 s

Using the first equation of motion, we can write -

v = u + at

v = 0 + 2 x 2

v = 4 m/s

Therefore, the scooter's velocity after 2 seconds of its start will be 4 m/s.

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Answer:

4 kg at 30 m/s

Explanation:

comparing in pair, the 3rd is more than the 1st, and the 4th is more than the 2nd, so it boils down to the lasts two. calculate, and im pretty sure you get 4 kg at 30 m/s...

Momentum of a ball of mass 2 kg moving at 30 m/s = 2 kg × 30 m/s = 60 kg m/s

Momentum of a ball of mass 3 kg moving at 20 m/s = 3 kg × 20 m/s = 60 kg m/s

Momentum of a ball of mass 4 kg moving at 30 m/s = 4 kg × 30 m/s = 120 kg m/s

Momentum of a ball of mass 5 kg moving at 20 m/s = 5 kg × 20 m/s = 100 kg m/s

So, highest momentum is of a ball of mass 4 kg moving at 30 m/s (120 kg m/s).

To find the focal point of a lens, move the viewing screen until the image is either upright or inverted. The focal point is reached when a clear and sharp image is formed.

The focal point of a lens is the point where parallel rays of light converge or appear to diverge from after passing through the lens. To find the focal point, you can adjust the position of the viewing screen until you achieve a clear and sharp image.

In the case where you move the viewing screen until the image is upright, you are looking for the position where the image formed by the lens is upright and in focus. This position corresponds to the focal point of the lens, where the light rays converge to form the image.

On the other hand, if you move the viewing screen until the image is inverted, you are still seeking the focal point. In this case, the image formed by the lens appears inverted, indicating that the light rays have crossed and converged at the focal point.

However, if you move the viewing screen to a position where no image is formed, it suggests that the screen is either too close or too far from the lens. This position does not correspond to the focal point, as no clear image is obtained.

Therefore, by adjusting the position of the viewing screen until an upright or inverted image is achieved, you can determine the location of the focal point of the lens.

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After applying the kinematic relation, the bullet’s flight time would be 0.0726 s

The kinematic equations are a set of four equations that can be used to make predictions about information regarding an item's motion that is unknown, provided that other information regarding the motion of the object is known. The equations can be applied to any motion that can be characterized as either having a constant velocity (an acceleration of 0 m/s/s) or a constant acceleration (an acceleration of 0 m/s/s), and they can be used to analyze both types of motion. They are never permitted to be used during any time frame in which the acceleration is undergoing a change.

In this case we will be using the third kinematic relation:

d = vt + ½ gt²

in this case, we are given that:

d = (2.58 cm × ( 1 m ÷ 100 cm))

v = 0 m/s

g = 9.8 m/s

Thus, the bullet’s flight time would be:

(2.58 cm × ( 1 m ÷ 100 cm)) = (0 m/s) × t + ½ (9.8 m/s) × t²

½ (9.8 m/s) × t² = (2.58 cm × ( 1 m ÷ 100 cm))

T = √0.005265

T = 0.0726 s

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(i) The hydraulic gradient is 0.45.

(ii) The flow rate is approximately 0.00000167 cubic meters per second.

(iii) The hydraulic conductivity is approximately 0.000037 meters per second.

(i) Hydraulic gradient:

The hydraulic gradient (i) can be calculated by dividing the head difference (h) by the distance (L) between the manometer tappings:

i = h / L

Given:

Head difference (h) = 45 mm

Distance between manometer tappings (L) = 100 mm

Converting the units to meters:

h = 45 mm / 1000 = 0.045 m

L = 100 mm / 1000 = 0.1 m

Substituting the values into the formula:

i = 0.045 m / 0.1 m = 0.45

(ii) Flow rate:

The flow rate (Q) can be calculated using the equation:

Q = (V / t) / A

Where V is the quantity of water collected, t is the duration of the test, and A is the cross-sectional area of the test sample.

Given:

Quantity of water collected (V) = 500 ml = 0.5 L

Duration of test (t) = 300 seconds

Diameter of test sample (d) = 100 mm

Converting the units to meters:

V = 0.5 L = 0.5 / 1000 = 0.0005 m³

t = 300 seconds

d = 100 mm / 1000 = 0.1 m

Calculating the cross-sectional area (A) using the formula for the area of a circle:

A = π * (d/2)^2

Substituting the values:

A = π * (0.1/2)^2 = π * 0.005^2 = 0.00007854 m²

Substituting the values into the formula for flow rate:

Q = (0.0005 m³ / 300 s) / 0.00007854 m²

Calculating the flow rate:

Q = 0.00000167 m³/s

(iii) Hydraulic conductivity:

The hydraulic conductivity (K) can be calculated using Darcy's Law:

K = Q / (A * i)

Given the values we calculated:

Q = 0.00000167 m³/s

A = 0.00007854 m²

i = 0.45

Substituting the values into the formula:

K = 0.00000167 m³/s / (0.00007854 m² * 0.45)

Calculating the hydraulic conductivity:

K ≈ 0.000037 m/s

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The current through wet hands when in contact with a 120 V electrical circuit would be 120 milliamps (mA).

Voltage (V) = 120 V

Resistance (R) = 1,000 ohms

According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them. According to Ohm's Law, we can compute the electrical current in a circuit by dividing the voltage by the resistance. If the resistance is reduced, the current will alter.

Calculating the current by using Ohm's law -

I = V / R

Substituting the values:

I = 120 / 1,000

= 0.12 A

Converting 0.12 A to milliamps by multiplying by 1,000 -

= 0.12 x 1,000

= 120

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Answer:

In chemistry, according to Boyle's law it tells us that the pressure and volume of an ideal gas are inversely proportional. The pressure has an inverse relationship with the volume. As the volume increases two times, then the pressure of the gas decreases two times.

Explanation:

Answer:

Below are some of the important dates that led to the creation of the Constitution: 1775 — The Revolutionary War between the Colonies and Britain begins. ... 1781 — The last battle of the Revolutionary War takes place; the 13 states set up a federal government under laws called the Articles of Confederation.

Explanation:

please give me a heart

D. It allows the flow of an electric current in the circuit.

Closed circuit allows the flow of current in the circuit from the battery to the bulb. If the circuit is open then the current will not reach to the bulb or other appliances.

So we can conclude that It is important to have a closed circuit because it allows the flow of an electric current in the circuit.

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Answer:

only long-range force that affects all particles is the gravitational force.

Explanation:

In nature there are four fundamental forces: nuclear, weak, gravitational and electrical.

The last two are long-range, that is, the forces are zero for infinite distances, the current gravitational on all the particles and the electric one acts on the charged particles, without the chosen charge it is zero, the forces is also zero.

Consequently the only long-range force that affects all particles is the gravitational force.

Answer:

4. radiation

5. ultraviolet radiation

Answer:

t = 0 1.697 seconds

Explanation:

Comment

This is a standard question where the time is the same for both the vertical distance the ball has to drop and the time it takes to go horizontally.

Formulas

dv = vi*t + 1/2 a t^2

dv is the vertical distance that the ball has to travel in a downward direction

dh = vh * t

Givens

a = 9.81

dv = 1.44

vi = 0

t = ?

dh = 2 m

t = same as above (but not given)

Solution

dv = 1/2 a * t^2

1.44 = 1/2 * 9.81 *t^2                 Multiply by 2

2*1.44 = 1/2 * 2 * t^2

2.88 = t^2

t = 1.697 seconds

Note that you do not have to use the horizontal information to get the time. You only have to realize that the ball has no vertical velocity to begin with.

Answer:

an apple that fell down from a tree

Explanation:

he wondered what force was acting as the apple fell , he later termed it as a downward force acting on the earth called gravity.

Answer:

the air molecules present in the  atmosphere are much smaller than the wavelength range of visible light

Explanation: