the solution is not obvious and important information is missing in a

The magnitude of the torque will increase as the angle between the force and the line of action of the torque approaches 90 degrees.

Torque, a unit of rotational force exerted on an object, is calculated by multiplying the force by the distance from the axis of rotation to the point of application of the force. The sine of the angle formed between the force and the torque's line of action and the torque are also proportional.

The torque is zero when there is a 0 degree angle between the force and the torque's line of action because the force is acting in the same direction as the torque's line of action.

As the angle increases, the torque increases and reaches its maximum value when the angle is 90 degrees, at this point the sine of the angle is 1, so the torque is at its maximum value.

The given question is incomplete. The complete question is 'What happens to torque when the contact angle is 90°?'

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A capacitor is connected to a battery. When the separation between the plates of the capacitor is halved, the force of attraction between then will become four times.

We know that the parallel plate capacitor's capacitance is determined by

C = ∈₀[tex]\frac{A}{d}[/tex]

and that the distance between the two plates is denoted by d. So, when the distance between objects is cut in half, the capacitance doubles. We can express that mathematically as,

C' = ∈₀[tex]\frac{A}{\frac{d}{2} }[/tex]

or, C' = 2∈₀ [tex]\frac{A}{d}[/tex]

or, C' = C

Here, the potential remains constant.

Now, charge is equal to the product of capacitance and potential, i.e.,

Q = C × V

The charge will double as the capacitance does, and vice versa.

The following equation describes the connection between the d and the potential difference between the two plates:

E = [tex]\frac{V}{d}[/tex]

The value of the electric field doubles because the separation has decreased by half.

From Coulomb's law, we have

Force of attraction, F = QE

Now that charge and the electric field have both increased by two, the force of attraction will be

F' = Q'E'

or, F' = 2Q × 2E

or, F' = 4QE

or, F' = 4F

Hence, the force of attraction will become four times.

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The velocity at the top is zero and acceleration at the top of its path is acceleration due to gravity.

When an object moves straight up in the vertical direction, the force on it is gravity only, therefore the acceleration of the object will be equal to the gravitational acceleration and that acts in downward direction.

When speed is coupled with direction it is called vellocity.

The rate of change of velocity is called acceleration.

The energy that is put on a body which makes the body move from rest or brings the body to rest from moving state is called force.

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The weight of the super ball is 0.00224 oz.

To determine the weight of the super ball in U.S. customary units, we first need to calculate its volume. We can use the formula for the volume of a sphere: V = 4/3 * pi * r^3, where r is the radius of the sphere (half the diameter). In this case, the radius is 3.5 cm.

So, V = 4/3 * pi * [tex](3.5 cm)^3[/tex]= 4/3 * pi * 42.875 [tex]cm^3[/tex]

Next, we can use the density of section (1.5[tex]mg/m^3[/tex]) and the volume of the sphere to calculate the weight of the super ball.

Weight = Density * Volume

The weight of the super ball will be approximately:

Weight = 1.5 [tex]mg/m^3[/tex] * 42.875 [tex]cm^3[/tex] = 63.8125 mg

Converting to ounces:

63.8125 mg = 0.00224 oz

Therefore, The weight of the super ball is 0.00224 oz.

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The potential energy of the 17.5 kg dodo bird on  25 meters  is  4287.5 Joule.

Potential energy is a form of stored energy that is dependent on the relationship between different system components.

When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.

The potential energy of the  17.5 kg dodo bird is = mass × acceleration due to gravity × height

= 17.5 kg × 9.8 m/s² × 25 meter

= 4287.5 Joule.

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The 400 m fast and slow walks took an average of 333.3 and 380.3 seconds, respectively (P .001).

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The remaining quantity is 1.4 g.

We know that half life of a first order reaction is given  by:

                                               t(1/2) = ln 2 / k

where , t(1/2) = half life = 6.6 hours

             k = reaction constant

Putting these values in above equation we get : k = ln 2 / t(1/2) = ln2 / 6.6

Also rate of a reaction is given by:

                                                 k =[tex]\frac{1}{t} ln\frac{A_{o} }{A}[/tex]

where,

k = rate of reaction = ln2/ 6.6

t = time = 19.8 hours

A = final quantity

[tex]A_{o}[/tex] = initial quantity = 11.2 g

Putting these values in above equation we get: A = 1.4 g

So the remaining quantity is 1.4 g.

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The answer is 184 I think.

You will need Latitude and Longitude to calculate the distance between two points using the formula: =acos(sin(lat1)*sin(lat2)+cos(lat1)*cos(lat2)*cos(lon2-lon1)) *6371 (6371 is Earth radius in kilometers) (6371 is Earth radius in km.)

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a.) To find the energy of this system, we need to calculate the potential energy of the two cubes due to their charges. The potential energy of a charged object is given by the formula:

U = (1/2)QV

Where:

U = potential energy

Q = charge of the object (in Coulombs)

V = voltage (in Volts)

The masses of the cubes are given in grams, so we need to convert them to Coulombs:

2.0 g = 2.0 x 10^-3 kg x (1 Coulomb/1.6 x 10^-19 Coulombs) = 1.25 x 10^-16 Coulombs

4.0 g = 4.0 x 10^-3 kg x (1 Coulomb/1.6 x 10^-19 Coulombs) = 2.5 x 10^-16 Coulombs

The cubes are charged to 2.0 mc, which is equal to 2.0 x 10^-6 Coulombs.

Now we can use the formula above to find the potential energy of each cube:

U1 = (1/2)QV = (1/2)(1.25 x 10^-16 Coulombs)(2.0 x 10^-6 Coulombs) = 0.000015625 J

U2 = (1/2)QV = (1/2)(2.5 x 10^-16 Coulombs)(2.0 x 10^-6 Coulombs) = 0.00003125 J

The total energy of the system is the sum of the potential energies of the two cubes:

E = U1 + U2 = 0.000015625 J + 0.00003125 J = 0.000046875 J

b.) To find the tension in the string, we need to consider the forces acting on the two cubes. The cubes are at rest, so the net force on each cube must be zero. Therefore, the tension in the string must be equal to the weight of the two cubes. The weight of an object is given by the formula:

F = m*g

Where:

F = force (weight)

m = mass of the object

g = acceleration due to gravity (9.8 m/s^2)

The mass of the two cubes is 2.0 g + 4.0 g = 6.0 g. So the weight of the two cubes is:

F = m*g = (6.0 x 10^-3 kg)(9.8 m/s^2) = 0.0588 N

The tension in the string is the same as the weight of the two cubes, which is 0.0588 N.

c.) When the string is cut, the two cubes will move apart due to the repulsion of their charges. The speed of each cube can be found using the conservation of energy principle. The initial energy of the system is the potential energy of the two cubes:

Ei = U = 0.000046875 J

The final energy of the system is the kinetic energy of the two cubes:

Ef = (1/2)mv^2

Where:

m = mass of the cube

v = velocity of the cube

The total final energy of the system is the sum of the kinetic energies of the two cubes:

Ef = (1/2)m1v1^2 + (1/2)m2v2^2

Since the total energy of the system is conserved, we can say:

Ei = Ef

0.000046875 J = (1/2)(2.0 x 10^-3 kg)v1^2 + (1/2)(4.0 x 10^-3 kg)v2^2

To find the speed of each cube, we can solve for v1 and v2 individually by isolating them on one side of the equation:

v1 = ((2*(0.000046875 J)) / (2.0 x 10^-3 kg))^0.5

v2 = ((2*(0.000046875 J)) / (4.0 x 10^-3 kg))^0.5

v1 = 0.019 m/s

v2 = 0.013 m/s

So the speed of the first cube is 0.019 m/s and the speed of the second cube is 0.013 m/s (rounded to the nearest whole number).

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joule is not the unit of power.

In physics, power measures the rate of transfer of electrical energy through a circuit per unit of time. It is denoted by P and is measured using the SI unit of power (watts or 1 joule/second). Electrical energy is usually supplied by batteries and produced by generators. Power refers to the rate per unit of time at which electrical energy is transferred through a circuit. When we talk about units of power, it is joules per second or joules per unit of time. A watt is a unit of electrical power equivalent to 1 ampere under 1 volt of pressure.

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Newton's 3rd Law of Motion states that:

for every action (force) in nature there is an equal and opposite reaction.

having a high kinetic energy level mean An object's kinetic energy increases with its speed An item has more kinetic energy the more mass it possesses

The energy an item has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. Kinetic energy, which may be seen in the movement of an item or subatomic particle, is the energy of motion. Kinetic energy is present in every particle and moving object. Examples of kinetic energy in action include a person walking, a baseball flying through the air, a piece of food falling from a table, and a charged particle in an electric field.

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The frequency of the 3rd normal mode is 10.7 Hz.

The frequency of a wave can be calculated by dividing the speed of the wave by its wavelength.

The frequency of a wave is given by the equation:

f = v/λ

where f is the frequency, v is the speed of the wave, and λ is the wavelength.

In this case, we know that the pulse returns in 0.56 seconds. This means that the time it takes for the pulse to travel down the string, reflect off the other end, and return to the starting point is 0.56 seconds.

Since the string is clamped at both ends, the reflection at the other end is an inversion of the original pulse. Thus, the pulse travels twice the length of the string (4.5 m * 2 = 9 m) to return.

The speed of the wave on the string is given by the equation:

v = L / T

where L is the length of the string and T is the time it takes for the pulse to return.

v = 9 / 0.56 = 16.07 m/s

The wavelength of the 3rd normal mode can be calculated by dividing the length of the string by 3. λ = L / 3

λ = 4.5/3 = 1.5 m

Now we can find the frequency

f = v / λ

f = 16.07 / 1.5 = 10.7 Hz

Therefore, the frequency of the 3rd normal mode is 10.7 Hz.

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If we stand 3 meters in front of it, then the image is 3m away from the lens.

define focal point ?

The focal point of a mirror is a point located on the principal axis where the light rays that are reflected from the mirror converge to form an image, or from where light rays appear to originate. The distance from the mirror to the focal point is known as the focal length, and it is a characteristic property of the mirror that depends on its shape and material. In a concave mirror, the focal point is located on the side of the mirror opposite the object being reflected, and the light rays are directed towards it, resulting in the formation of an image.

The image formed by a concave mirror is behind the mirror. In this case, since the focal point of the mirror is 1.5 meters, the image will be located 1.5 meters behind the mirror. So, if you are standing 3 meters in front of the mirror, the image will be located 1.5 meters behind the mirror, at a distance of 4.5 meters from you.

Given,

The  focal point of 1.5 meters

Object length = 3 meters

Using lens equation

1/x + 1/y = 1/f

Here, x = distance of object = 3 meters

f =  focal point = 1.5 meters

y =  distance of image

i.e.

1/3 + 1/y = 1/1.5

1/y = 1/1.5 - 1/3

1/y = 2/3 - 1/3

1/y = (2 - 1)/3

1/y = 1/3

y = 3m

Thus, If we stand 3 meters in front of it, then the image is 3m away from the lens.

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Answer:

coal is a non renewal energy

The star with a magnitude of 2.0 is approximately 316.2 times brighter than the star with a magnitude of 4.5.

The brightness of stars is a measure of the amount of light they emit and can be observed from Earth. It is typically measured using the magnitude system, where stars are assigned a brightness value on a logarithmic scale. A star with a lower magnitude is considered to be brighter than a star with a higher magnitude, with a difference of 5 magnitudes corresponding to a factor of 100 in brightness.

The magnitude system is logarithmic, so the difference in magnitude between two stars is equal to the logarithm of the ratio of their brightness.  To find the ratio of the brightness of two stars with magnitudes of 2.0 and 4.5, we can subtract the magnitudes and then take the inverse of the difference, raised to the power of 2.5.

The difference in magnitudes is 4.5 - 2.0 = 2.5

The ratio of brightness is 100^(2.5) = 316.2

So, the star with a magnitude of 2.0 is approximately 316.2 times brighter than the star with a magnitude of 4.5.

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Explanation:

thqjqy677jh7a7uauq7745-36√89+23+25±866›

As the volume approaches 0, the pressure approaches infinity. This is because the equation states that pressure is inversely proportional to volume. As the volume decreases, the pressure increases due to the inverse relationship.

The pressure of the system will approach infinity as the volume gets closer to zero. This is because pressure and volume have an inverse relationship, which means that as the volume drops, the pressure must rise to keep the same amount of energy. This is due to the fact that the same amount of energy can be contained in a particular volume, thus as the volume shrinks, the pressure must rise to keep the same amount of energy. PV = nRT, where P is pressure, V is volume, n is number of moles of gas, R is gas constant, and T is temperature, is what is referred to as the ideal gas law. In order for the pressure to remain constant when the volume decreases to zero, it should satisfy the equation.

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A styrofoam cup holding 125 g of water at 100 C cools to room temperature 20 C. 0.14266 KJ/K is the change in entropy of the room

What is the change in entropy?

Given that,

m = 125 g = 0.125 kg

T = 100°C = 373 K

Tsurrounding = 20°C = 293 K

Heat release from cup to the surrounding.

Q = m × c × (T - Tsurrounding)

Q = 0.125 × 4.18 × 80

Q = 41.8 kJ

Entropy change of the room(surrounding),

ΔS = Q/Tsurrounding

ΔS = 41.8/293

ΔS = 0.14266 KJ/K

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Weight of a body is the force with which the earth pulls on it. So W = mg = 45 * 9.8 newtons.

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Total time taken is 72 seconds.

Latent heat of vaporization is the amount of heat added to or removed from a substance to produce a change in phase, namely to vaporize a substance.

We know that : P = Q/t

where,

P = Power = 3000 W

Q = Specific latent heat of vapourisation of water

t = time taken

Here, Q = 2260 J/g

But for 100 g of water, Q = 2260 * 100 J/g and given P = 3000 W

Putting these values in above equation we get: t = 72 seconds

So, it will take 72 seconds to boil away water.

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The independent variable in this experiment is dimples or not.

Option 1 is correct.

An independent variable is defined as the variable that is changed or controlled in a scientific experiment.

In an experiment, the independent variable is the variable that is varied or manipulated by the researcher. The dependent variable is the response that is measured.

In the dimpled car experiment, we know for a fact that  the independent variable is dimples or not.

In the dimpled car experiment, we know for a fact that  the dependent variable is Gas mileage.

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When we apply the brake then there is a frictional force between the brake and the rim of the cycle. This force opposes the forward motion of the body and hence bicycle stops.

26.6 m/s (meters per second)

1428 mi/d (miles per day)

59.5 mph (miles per hour)

0.9917 mi/min (miles per minute)

87.27 ft/s (feet per second)

314200 ft/h (feet per hour)

≈ 0.94 × typical takeoff speed of a light aircraft like a Cessna 150 ( ≈ 63 mph )

≈ (0.6 to 1.4) × instantaneous speed of air particles during an average human sneeze ( 40 to 100 mph )

≈ 1.1 × speed at (or below) which Sammy Hagar cannot drive ( 55 mph )

Time to travel 1 kilometer from t = d/v:

| 38 seconds

| 0.63 minutes

Observed wind intensity from v = 0.836B^(3/2) m/s:

| 10 Beaufort scale numbers

Effective rocket exhaust speed from v_e = I_sp:

| 27 m/s (meters per second)

Thrust specific fuel consumption from SFC = 1/I_sp:

| 37590 g/(kN s) (grams per kilonewton second)

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The work done on an object can change the kinetic energy. The additional work required to bring the car B up to the speed of 40m/sec is 640 KJ.

The work done on an object will change kinetic energy. The relation between the work done and kinetic energy is W=KEi-KEf

If the initial velocity is zero, then the work done is equal to the kinetic energy. Thus W=KEf, W=1/2×m×v², where m is the mass of the object and v is the final velocity of the object. The speed of car A and car B is 40m/sec.

The mass of car A is 1200 kg and the mass of car B is 2000kg. The work done by car A to get a speed of 40m/sec is, W(A)=1/2×1200×40×40 =960 KJ. The work done by car B to get a speed of 40m/sec is, W(B)=1/2×2000×40×40 = 1600 KJ.

The additional work required to bring car B up to speed is Wn=W(B)-W(A), Wn=1600-960 =640 KJ.

Hence the additional work that is required to bring the car B up to the speed is 640KJ.

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Answer:

They will separate and either burn out or fall into the sea.

Explanation:

The rocket will become too hot for the satellite to handle. So when they separate the satellite will be destroyed, and just be floating junk in space or fall in the ocean and cause more problems for us.

The speed of the rock when it reaches the ground is 19.32 m/s.

The speed of the rock when it reaches the ground is calculated by applying the law of conservation of energy.

Kinetic energy of the rock at the bottom = potential energy of the rock at the top

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √ ( 2gh )

where;

The speed of the rock when it reaches the ground is calculated as;

v = √ ( 2gh )

v = √ ( 2 x 9.8 x 19.04 )

v = 19.32 m/s

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Answer:

Explanation:

The addition of two simple harmonic motions will produce a result that is also simple harmonic if the two simple harmonic motions have the same frequency and phase.

When two simple harmonic movements attain their maximum or lowest values at the same moment, they are said to be in phase. If the amplitudes of two simple harmonic movements have the same frequency and are in phase, the amplitude of the resulting motion may be calculated. This indicates that the combined system's motion will still oscillate at the same frequency as the separate movements and will be sinusoidal in form, as is the distinguishing feature of simple harmonic motion. As a result, adding two simple harmonic movements with the same frequency and phase results in a consequent motion that is likewise simple harmonic.

The formula of Torque(T) is force(F) × Radius(R) of rotation. Its SI unit is Newton-meter.

Torque is the measure of force which is responsible for the rotation of an object about its own axis. As force causes an object to accelerate in linear direction, similarly torque causes an object to acquire angular acceleration. It is a vector quantity. Torque is also defined as the cross product of force vector and distance vector(distance from the axis). The formula of Torque is as follows:

T = F × R

Where F is the force, R is the radius of rotation. Its SI unit will be Newton-meter.

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