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Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?

Answer:

48gk

Explanation:

The value of moment of Inertia of the solid cylinder will be 0.19 kg/m^2

Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics.

The formula I = 1/2 [M (R_2^2 + R_1^2)] may be used to calculate the moment of inertia of a hollow cylinder revolving along an axis passing through the centre of the cylinder. The cylinder in this instance will have a mass of M and internal and exterior radii R1 and R2, respectively.

The cylinder's moment of inertia about its axis is (MR^2)/2.

Where, M - mass of object, R = radius of the cylinder.

After putting all the values. we will get,

[tex]=\frac{27 \mathrm{~kg} \cdot(0.24 \mathrm{~m} / 2)^2}{2} \approx 0.19 \mathrm{~kg} \cdot \mathrm{m}^2[/tex]

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Answer:Yes, water indeed expands when it changes form from liquid to solid. And this is because water has a property called “hydrogen bonds”, and these bonds occur between each water molecule. But when water is in a liquid form these hydrogen bonds break more easily and occur less frequently. When the temperature drops the kinetic energy also drops, which in turn makes hydrogen bonds form more frequently. So the water molecules form a lattice, which is less dense than regular liquid water.

Explanation:

The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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Answer:

Emissions from power plants that burn fossil fuels increase atmospheric carbon dioxide, which is absorbed by the ocean.

Explanation:

Fossil fuels are burnt in power plants in order to produce energy. These fossil fuels contain carbon. Combustion of these fossil fuels emits oxides of carbon into the atmosphere. The oxides of carbon are carbon II oxide and carbon dioxide.

Carbon dioxide can be absorbed by the ocean to form carbonic acid according to the reaction equation;

CO2(aq) + H2O(l) ------> H2CO3(aq)

This is an anthropogenic activity which increases ocean acidification.

When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.

Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.

Given  that the foece on the satellite due to earth gravity is F

(At a distance R from center of Earth)

Initial separation between the satallite and Earth is R

Final separation between the satallite and Earth is 3R

The force on the satallite due to earth is

F= [tex]\frac{GMm}{r^{2} }[/tex]

Here M is mass of earth and m is mass of satellite

if the distance between satellite and earth changed to 3R

the force on the satellite due to earth is

F'=[tex]\frac{GMm}{3R^{2} }[/tex]

F'=[tex]\frac{GMm}{9R^{2} }[/tex]

F'=F/9

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The required average velocity vector for the trip is calculated to be 100 i + 200 j and its magnitude is 223.6 km/h.

The displacement due east is taken as 150 i.

The displacement due south is taken as 300 j.

The net displacement is given as, 150 i + 300 j.

Magnitude of net displacement = √(150² + 300²) = √112500 = 335.41 km

We get the average velocity by dividing the displacement vector by total time.

v avg = (150 i + 300 j)/1.5 = 100 i + 200 j

Magnitude of net velocity = √(100² + 200²) = √(10000 + 40000) = 223.6 km/h

Thus, the average velocity vector is 100 i + 200 j.

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Answer:

Roughly around 117.6 mph

Explanation

To find out something's speed (or velocity) after a certain amount of time, you just multiply the acceleration of gravity by the amount of time since it was let go of. So you get: velocity = -9.81 m/s^2 * time, or V = gt. The negative sign just means that the object is moving downwards.

The resistor that is equivalent to the resistance of the circuit is 1 2/7 Ohms

The equivalent resistance of a circuit is the (single) resistance that can replace the combination of resistances in the circuit such that the current flowing in the circuit remains the same.

Please find attached the drawing of the circuit, created with an online circuit building tool.

Whereby the capacitor also acts as a resistor of 6 Ohms, we get;

Resistors R₄, R₅, and R₆ are parallel

The resistor equivalent to the three resistors is found as follows;

Req₁ =  1/(1/R₄ + 1/R₅ + 1/R₆)

Therefore, Req₁ = (1/(1/2 + 1/1 + 1/6)) = 0.6

Req₁ is in series with R₁, therefore;

Req₂ = Req₁ + R₁ = 0.6 + 3 = 3.6

Req₂, (Req₁ + R₁  combined) is parallel to R₂ and R₃, therefore;

Req₃ = 1/(1/Req₂ + 1/R₂ + 1/R₃)

Req₃ = 1/(1/3.6 + 1/3 + 1/6) = 9/7 = 1 2/7

The equivalent resistor of the circuit is 1 2/7 ohms

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Answer:

Here you go..

hope it helps..!

Explanation:

So since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force, so as the mass of either object increases, the force of gravitational attraction between them also increases.

A circuit with a series connection between a resistor and a capacitor.

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Answer:

sorry

Explanation:

The balloon's helium has a mass of 2.52 KG.

The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometers or miles is known as its population density.

The term "density" refers to the ratio between the volume (the amount of space taken up by an object or substance) and the amount of matter contained therein (its mass). The amount of mass per unit of volume is another method to define density.

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The margin of error is 3.96.

The value of e, or the margin of error, can be calculated using the formula:

e = z*(s/√n)

where:

z = the critical value from a standard normal distribution table (for c = 0.99, z = 2.576)

s = the sample standard deviation (in this case, s = 2.6)

n = the sample size (in this case, n = 16)

So, to find the margin of error for this scenario, we plug the given values into the formula:

e = 2.576*(2.6/√16) = 2.576*(2.6/4) = 2.576*0.65 = 3.96

Therefore, the margin of error is 3.96.

It's worth noting that this value represents the range within which we expect the true population value to fall with a certain level of confidence

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Answer:

.....

Explanation:

Who u talm bout? I also agree I can name a few shiiii

Answer:

B. they must be intrinsically far more luminous than the brightest galaxies.

Explanation:

Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.

Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."

This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.

90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.

In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.

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Lever arm length and force applied perpendicular to a lever arm are multiplied to create torque. A scalar quantity called torque has two possible directions: clockwise and counterclockwise.

A force applied perpendicular to a lever arm produces a torque, which is the result. The distance that runs perpendicularly from the pivot point, or the center of rotation, to the location where the force is delivered, is known as the lever arm or moment arm. A pivot point is always used to define a torque.

Each gearing stage of a torque multiplier amplifies the torque applied to the bolt. For instance, a torque multiplier with a 5:1 ratio will produce an output at the shaft that is five times the torque, but because no energy can be produced, the speed will only be one fifth of the original.

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Answer:

gravity and weight of an item

Explanation:

if you drop a rock it would fall straight to the ground

now if you drop a feather it would fall to the ground but will take a longer amount of time

Answer:

your answer will be 320kg that would be the pressure at the bottom surface of the block

Answer: Change

Explanation:

The displacement in SHM is 2/3 of amplitude and the fraction of total kinetic energy is Ek = 5/9.

Let’s derive the equations needed from the first principle. The displacement for SHM with amplitude A and angular speed is:

s = A sin(ωt) ---- (1)

Differentiate the displacement to get the velocity:

v = s′ = A ωcos(ωt)

So for a mass m, the kinetic energy is:

Ek = 1/2 mv²

Ek =  1/2 m × (Aωcos(ωt) )² ---- (2)

At time t = 0 the displacement s = 0 and so all the energy is kinetic. Therefore the total energy is:

E (total) = 1/2m ×( Aωcos(0) )²

E (total) = 1/2m × (Aω)² ---- (3)

We can rephrase the kinetic energy in terms of the total energy by comparing (2) and (3):

Ek = E (total) cos²(ωt)

Using the identity  cos² (x) + sin² (x) = 1,  we can rewrite this equation as:

Ek = E total (1 − sin²) (ωt)) ---- (4)

Additionally, we are aware that potential energy U = E(total) Ek, so

U = E (total) − E (total) (1 − sin²(ωt) )

U = E (total) sin²(ωt)  ---- (5)

Now in this question, we’re given that  s = 2/3 A, so from our displacement formula  (1)  we have:

s = Asin (ωt) = 2/3 A

This is what we get for the kinetic energy when we insert it into equation (4):

Ek = E (total)(1 − (2/3)²)

Ek = 5/9 (E (total) )

Hence, the displacement in SHM is 2/3 of the amplitude, and the fraction of total kinetic energy is Ek = 5/9.

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The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.

Efficiency = (0.50) * (0.25) = 0.125 or 12.5%

So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.

How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.

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Answer:

the required tension is 4.57 N.

Explanation:

Given;

first velocity of the wave, v₁ = 24 m/s

first tension on the string, T₁ = 5.34 N

second velocity of the wave, v₂ = 22.2 m/s

second tension of the string, T₂ = ?

[tex]v = \sqrt{\frac{T}{\mu} }[/tex]

where;

μ is mass per unit length

[tex]v^2 =\frac{T}{\mu} \\\\\mu = \frac{T}{v^2} = \frac{T_1}{v_1^2} = \frac{T_2}{v_2^2} \\\\T_2 =\frac{T_1v_2^2}{v_1^2} \\\\T_2 = \frac{5.34 \times 22.2^2}{24^2} \\\\T_2 = 4.57 \ N[/tex]

Therefore, the required tension is 4.57 N.

When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².

To find Justine's final velocity, we can use the equation:

v = u + at

where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So

v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s

To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:

v = u + at

where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.

Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.

so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds

It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.

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Using the strain energy that the pole has stored in it, the running athlete's kinetic energy is transformed into the potential energy needed to jump.

Males employ the formula: h= 0.60 * [male height] + 12(v2/g), whereas females use h= 0.55 * [female height] + 12(v2/g).

It is merely an instance of energy being exchanged. If an athlete can run at 10 m/s and we calculate g as 10 m/s/s, the height equals 5 m.

Each vaulter has three tries to clear a particular height during a competition. In order to fall readily if touched, a bar is supported by two uprights. Up until a winner is determined through the process of elimination, it is raised gradually.

There has been a failed trial. A competitor's pole breaking while trying to clear the bar is not considered a trial or failure. No one is permitted to touch the vaulting pole.

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