find three mutually orthogonal unit vectors in besides i, j, and k.

Answer:

This is because a thermometer is designed to measure the temperature of a substance.

Explanation:

A thermometer is a device which is used to measure the temperature of a body which is known as the measure of the degree of the hotness or coldness of a body.

Temperature is measured in degree Celsius or Kelvin and it is entirely different from thermal energy which is measured in Joules.

The materials of thermometer that are designed to measure temperature only. Therefore, it is not possible to measure thermal energy.

Thermal Energy of a system is defined as the total kinetic energy possessed by the system. And temperature of a system is termed as the measure of average of kinetic energy of particles within the system.

Temperature is generally measured by Thermometers. And it is not possible to measure thermal energy due to following reasons:

Thus, thermometers are only used for the purpose of measuring temperatures, rather than thermal energy due to its design specifications.

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Answer:

27,500 N

Explanation:

W = Fd

F = W/d = (2.2x10⁵J)/(8 m ) = 27,500 N

The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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Answer:

Nothin will move, it will stay the same since no force is greater than the other. it's "the same amount of force" which also means an equal amount of force

Explanation:

The forces are only equal if there is no acceleration (which in the game of tug of war, accelerating yourself and your opponent is the idea). If the force on the rope and the ground are both equal either nothing moves or some other force is being applied in the system.

Hope this helped!

Answer:

You have the answer in your comments. I will be copying it so your question doesn't get deleted.

The answers is $0.58

$11.48

the video tape

the new shirt

An image in a convex mirror is constantly upright and reduced. Convex mirrors are curved mirrors with a protruding reflective surface. The virtual picture is located behind the mirror.

An object having a reflective surface known as a mirror reflects light and creates an image of whatever is in front of it. Mirrors are frequently found in places like bathrooms, changing rooms, and automobiles. They can be produced in a variety of forms and from a number of materials, such as glass, metal, and plastic. Beyond self-care and adornment, mirrors have a wide range of uses. They are essential in scientific studies because they help to concentrate and magnify light in instruments like telescopes and microscopes. Mirrors are also used to produce stunning visual effects in architecture, art, and optical illusions. Overall, mirrors play a significant role in society and human life, serving both functional and artistic purposes.

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A 3.00-kg ball rests in a frictionless groove as shown in the figure. a ball rests in a groove that is made of two inclined surfaces with the same bottom point. the left surface is inclined at 45 degrees above the horizontal and the right surface is inclined at 60 degrees above the horizontal. (a) The magnitude of the force that the left side of the groove exerts on the ball is 20.79 N.

Let's break it down step by step:
1. Analyze the forces acting on the 3.00-kg ball. There are three forces: the gravitational force (mg), the force exerted by the left side of the groove (FL), and the force exerted by the right side of the groove (FR).
2. Determine the gravitational force (mg) acting on the ball:
mg = (3.00 kg)(9.81 m/s²) = 29.43 N
3. Break down the gravitational force into its components along the inclines:
For the left side (45 degrees), the gravitational force component along the incline (mgL) can be found using the following formula:
mgL = mg * sin(45°)
mgL = 29.43 N * sin(45°)
mgL ≈ 20.79 N
4. The force exerted by the left side of the groove (FL) must be equal and opposite to the gravitational force component along the incline to keep the ball in equilibrium:
FL = mgl
FL ≈ 20.79 N
So the magnitude of the force that the left side of the groove exerts on the ball is approximately 20.79 N.

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Answer:

Depends on how long the string is, how heavy the weight, and how high you let go of it.

But it will most likely hit you :)

The force constant of the spring is 950 N/m. We can use the formula for calculating the potential energy stored in a spring: U = 1/2 kx^2. Where U is the potential energy, k is the force constant, and x is the displacement of the spring from its natural length. We can use the given information to find the force constant of the spring.

We need to find the displacement of the spring:

x = 3 m - 1 m
x = 2 m
Next, we can use the formula for work to find the potential energy stored in the spring:
W = Fd
1900 j = F(2 m)
Solving for the force, F:
F = 950 N
Now, we can use the formula for potential energy to find the force constant:
U = 1/2 kx^2
1900 j = 1/2 k(2 m)^2
Solving for k:
k = 475 N/m
So, the force constant of the spring is 475 N/m.

The force constant of the spring, we'll use Hooke's Law, which states that the force required to stretch or compress a spring is proportional to the displacement from its natural length. The equation for Hooke's Law is F = kx, where F is the force, k is the spring constant, and x is the displacement. In this case, the work done (1900 J) can be calculated using the equation W = 0.5 * k * x^2. We are given the work (W = 1900 J) and the displacement (x = 3 m - 1 m = 2 m). Plugging these values into the equation, we get:
1900 = 0.5 * k * (2^2)
Now, we can solve for the spring constant, k:
1900 = 2k
k = 950 N/m

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The units of Planck's constant are Joule seconds (J*s).

Planck's constant is a fundamental physical constant that plays a crucial role in quantum mechanics. It relates the energy of a photon to its frequency through the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency. The unit of energy is Joules (J), and the unit of frequency is Hertz (Hz), so the unit of Planck's constant is J*s.

The significance of Planck's constant lies in its ability to bridge the gap between classical physics and quantum mechanics. It helps explain phenomena such as wave-particle duality, where particles can behave as waves and vice versa. Additionally, it is used in calculations related to atomic and subatomic particles, including the energy levels of electrons in atoms and the behavior of photons in lasers.

Overall, the units of Planck's constant demonstrate its importance as a fundamental constant in the field of quantum mechanics and its role in bridging the gap between classical physics and the mysterious realm of the subatomic world.

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The formula for instantaneous velocity is the derivative of the position function with respect to time, v(t) = dx/dt.

The instantaneous velocity of an object is the velocity at a specific point in time, and is calculated using calculus. It is defined as the limit of the average velocity over an infinitesimally small time interval as that time interval approaches zero.

The formula for instantaneous velocity can be written as,

v(t) = dx/dt

where,

v(t) is the instantaneous velocity at time t

dx is an infinitesimal change in position

dt is an infinitesimal change in time

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According to Ohm's law: V = IR

The rate of flow of charges will depend on the voltage supplied and the resistance in the wire.

ELECTRIC CHARGE

Current can be defined as the rate of flow of charges. Where charge is the product of current and time. This means that electric charge is proportional to electric current. The current in a conducting wire depends on;

The two factors that can affect the flow of electric charge in the given options are voltage and resistance

Because according to Ohm's law: V = IR

The rate of flow of charges will depend on the voltage supplied and the resistance in the wire.

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Answer:

A. and D.

Explanation: Identifying Factors That Affect Current

Which factors affect the flow of electric charge? Select two options.

[voltage]

ampere X

ohmX

[resistance]

volt X

Answer:

I hope this helps if not I am sorry good luck

Explanation:

The food of the foxes is the voles and if the their population went down of course the foxes would too if the voles went extinct what would the foxes eat surley they would die since their food source is shortened .

Answer:

A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.

There are several considerations when comparing regular lenses and sunglasses, including their primary functions, lens properties, and intended usage.

Protection from sunlight: Sunglasses are primarily designed to protect the eyes from harmful UV rays and intense sunlight. They have specialized lens coatings that block a significant amount of UV radiation. Regular lenses, on the other hand, may not offer the same level of UV protection unless specifically designed for it.

Glare reduction: Sunglasses are often equipped with polarized lenses that reduce glare caused by reflected light from surfaces such as water, snow, or roads.

This feature is particularly useful for outdoor activities like driving, skiing, or water sports. Regular lenses typically lack polarization, so they don't provide the same level of glare reduction.

Tint and visibility: Sunglasses have different tint options to enhance contrast, reduce brightness, or provide specific color filtering. These tints can improve visual comfort in different lighting conditions. Regular lenses, however, are usually clear and transparent, providing natural color perception.

Fashion and style: Sunglasses are often chosen for their aesthetic appeal and fashion statement. They come in various designs, shapes, and colors to complement different face shapes and personal styles. Regular lenses, on the other hand, are more focused on functionality and may not have as wide a range of fashionable options.

In terms of preference, it depends on the specific needs and activities of the individual. If protection from UV rays and glare reduction are important, sunglasses with appropriate coatings and polarized lenses would be preferred.

For regular daily activities that don't involve intense sunlight, regular lenses may suffice, especially if UV protection is not a primary concern. Fashion and personal style also play a role in the preference for sunglasses as they can be a fashionable accessory.

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Answer:

a=Head

b=Tip

c=South pole of the magnet

d=North pole of the magnet

Answer:

Explanation:

Find the diagram of the scenario in the attached file.

From the diagram, the weight = mass * acceleration due to gravity

mass of sled = 30.0kg

acc. due to gravity = 9.81m/s

weight of the sled = 30.0*9.81

weight of the sled = 294.3N

The normal reaction force R in the diagram will be gotten by resolving the 12N force along the vertical

Ry = 12sin45°

R = 12 * 1/√2

R = 12√2/√2

R = 6√2 N

R = 8.49N ≈ 9.0N

The normal force exerted on the sled is approximately is 9.0N

Get the acceleration

Using the formula \(\sum Fx = ma_x\) where;

m is the mass of the sled = 30.0kg

\(a_x\) is the acceleration of the sled

\(\sum Fx = 8 + 12cos45^0\\\sum Fx = 8 + 12(0.7071)\\\sum Fx = 8 + 8.49\\\sum Fx = 16.49N\)

Substitute into the formula;

\(a_x = \frac{\sum Fx }{m} \\ a_x = \frac{16.49}{30}\\ a_x = 0.55 m/s^2\)

Hence the acceleration of the sled rounded to the nearest hundredth is 0.55m/s²

Answer:

The speed at which a planet orbits the Sun changes depending upon how far it is from the Sun. When a planet is closer to the Sun the Sun’s gravitational pull is stronger, so the planet moves faster. When a planet is further away from the sun the Sun’s gravitational pull is weaker, so the planet moves slower in its orbit.

Approximately 0.370 seconds after you drop the stone into the well, you will hear it hit the bottom.

To determine how soon after you drop the stone into the well you will hear it hit the bottom, we need to consider the speed of sound and the time it takes for the sound to travel back up from the bottom of the well to your ears.

The speed of sound in air is approximately 343 meters per second (m/s).

The time it takes for the sound to reach the bottom of the well can be calculated using the equation:

time = distance / speed

In this case, the distance is the depth of the well (d), which is given as 127.0 m.

So, the time it takes for the sound to reach the bottom of the well is:

time = 127.0 m / 343 m/s

Calculating this, we find:

time ≈ 0.370 s

Therefore, approximately 0.370 seconds after you drop the stone into the well, you will hear it hit the bottom.

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Answer:

Charge quantization is the principle that the charge of any object is an integer multiple of the elementary charge.

Explanation:

The correct option regarding Hubble's Law is Option B : the greater the distance to a galaxy, the fainter the galaxy appears .

We may learn a lot about the nature of the cosmos from Hubble's law, which states essentially that a galaxy's velocity (or, as it is commonly displayed, its redshift) is precisely proportionate to its distance.

The relationship between distance and velocity should not exist if the cosmos is constant and unchanging.

Because the Hubble constant, H, is used to calculate the precise age of the universe, Hubble's law is regarded as being extremely significant. Additionally, it aids in the comprehension of dark energy and matter.

By displaying the distances that distant galaxies are traveling from us, it illustrates how the universe is expanding.

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The radioactive decay equation for thorium-232 is \(Th^{232} - > Ra^{228} + He^{4}\). To find the radioactive radiation activity of 10 g of thorium, calculate the number of nuclei using Avogadro's number and the decay constant. For the activity after 10 years, use the radioactive decay law with the appropriate values.

a) The radioactive decay equation for thorium-232 (\(Th^{232}\)) can be written as follows:

\(Th^{232} - > Ra^{228} + He^{4}\)

In this equation, thorium-232 undergoes alpha decay, transforming into radium-228 and emitting an alpha particle (helium-4 nucleus).

b) To find the radioactive radiation activity of 10 g of thorium, we need to calculate the number of thorium-232 nuclei in the given sample. First, we find the number of moles of thorium-232 by dividing the mass of the sample by its molar mass. The molar mass of thorium-232 is approximately 232 g/mol. Thus, the number of moles is:

Number of moles = 10 g / 232 g/mol

Next, we calculate the number of thorium-232 nuclei using Avogadro's number, which is approximately 6.022 × \(10^{23}\) nuclei/mol:

Number of nuclei = Number of moles × Avogadro's number

Finally, we determine the radioactive radiation activity (A) by multiplying the number of nuclei by the decay constant (λ). The decay constant (λ) is related to the half-life (T1/2) of thorium-232 through the equation:

λ = ln(2) / T1/2

The decay constant represents the probability of decay per unit time. Therefore, the activity can be calculated as:

Activity = λ × Number of nuclei

c) To find the activity after 10 years, we use the radioactive decay law, which states that the activity of a radioactive substance decreases exponentially with time. The remaining activity (A_t) after a given time (t) is given by the equation:

\(A_t = A_0 * (1/2)^{t/T1/2}\)

Where A_0 is the initial activity at t = 0. Substituting the initial activity calculated in part b, the decay constant, and the desired time of 10 years, we can determine the activity after 10 years.

In summary, the radioactive decay equation for thorium-232 is \(Th^{232} - > Ra^{228} + He^{4}\) . To find the radioactive radiation activity of 10 g of thorium, calculate the number of nuclei and multiply it by the decay constant. For the activity after 10 years, use the radioactive decay law and substitute the appropriate values.

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The width of the slit is 0.212 mm.

The wavelength of light is defined as “The distance between the two successive crests or troughs of the light wave”.

We know that the distance between minima is given by :

                                       \(t = (m_{f} - m_{i} ) \alpha x/d\)

where, t = distance between minima

            \(\alpha =\) wavelength

            x = distance of screen

            d = width of slit

            \((m_{f} - m_{i} ) =\) difference between minima

Given, x = 40 cm = 0.4 m

           \(\alpha = 690 nm = 690 * 10^{-9} m\)

           t = 2.60 mm = \(2.60 * 10^{-3} m\)

           \((m_{f} - m_{i} ) =\) 3 -1 = 2

Putting these values in above equation we get d = 0.212 mm

So the width of the slit is 0.212 mm.

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Answer:

The maximum height of the ball will be "16.53 m".

Explanation:

Given that,

\(V_{final} = 18 \ m/s\)

As we know,

The initial as well the final height on the ball will be same after it reaches it's maximum height.

then,

⇒ \(V_{final}=V_{initial}\)

where, \(V_{initial} = \sqrt{2gh}\)

                       \(=\sqrt{2\times 9.8\times h}\)

                       \(=\sqrt{19.6h}\)

hence,

The max height of the ball will be:

⇒ \(18=\sqrt{19.6h}\)

    \(19.6h=324\)

           \(h=\frac{324}{19.6}\)

              \(=16.53 \ m\)

Answer:

KE = 1/2 m v^2

= 520 joules

Explanation:

hope this helps!

Answer:

Periods are 60 seconds, 60 minutes and 12 hours frequency are their reciprocal.

Explanation:

For second hand, period = 1 min = 3660 s; frequency = 0.0166

For minute hand, period = 1 hr = 3600 s; frequency = 2.77}

For hour hand, period = 12 hrs = 4300 s; frequency = 2.3}

17.01 m/s is the car’s velocity .

s=ut+at²/2

s-at²/2=ut

u=s-at²/2÷t

u=312/18.4

u=17.01 m/s

"The rate at which an item changes its location" is described by a vector number called velocity. Imagine someone walking swiftly, one step forward, one step back, and starting each step from the same location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A velocity of 55 miles per hour is not adequate information. It is necessary to account for the direction in order to accurately describe the object's velocity. Simply put, the direction of the velocity vector represents the motion of the object.

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A helicopter is a type of aircraft which uses spinning blades ( wings) to fly .

Statement D about pneumatic systems is true. Pneumatic systems are cleaner than hydraulic systems.

Pneumatic systems are employed in a wide range of manufacturing and assembly applications. They can be used to transport objects on production lines as well as in maintenance facilities.

In hydraulic systems liquid is used as fluid for the force transmission. While in the pneumatic system air is used causing more cleanliness in the system.

The pneumatic systems are cleaner than hydraulic systems.

Hence, a statement D about pneumatic systems is true.

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