A temperature sensor is expected to measure an input having frequency components as high as 50 Hz with a dynamic error no greater than 5%. What is the maximum time constant for the temperature sensor that will permit this measurement?

Answer:

3, knowledge of facts............

1095.35 N  force must the man apply to his partner in the straight-down position.

The term "force" seems to have a specific meaning in science. At this level, calling a force a push or indeed a pull is quite appropriate. A energy is not something an item "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

Weight of the partner W is 565 N

Radius is 5.05 M

Speed is 6.66 m/s

Gravity is 9.8 m/s²

Mass of the partner m = w /g = 57.65 kg

Force the man must applied Fm = ?

We are asked to determine how much power the man needs use to push his companion down while standing straight up. We shall use the second law of motion of Newton to do this.

\($\sum \mathrm{F}=\mathrm{ma}$\)

\($\mathrm{F}_{\mathrm{m}}-\mathrm{F}_{\mathrm{g}}=\mathrm{m}\left(\frac{\mathrm{v}^2}{\mathrm{r}}\right)$\)

= m(v²/ r) + mg

= m(v²/r + g)

= 57.65 (6.66 m/s² / 5.05m + 9.8 m/s²)

= 57.65 * 19 m/s²

= 1095.35 N

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Answer:

I) 6.4 × 10^(6) m

II) 5.29 × 10^(-11) m

Explanation:

Standard form is how we write very large number in such a way that it is easier to read.

Thus;

I) radius of the earth = 6 400 000 m

What we will now have is;

6.4 × 10^(6) m

II) radius of hydrogen atom = 0.000 000 000 0529 m

What we will have is;

5.29 × 10^(-11) m

Answer:

i. 6.4 × 10⁶ m.

ii. 5.29 × 10⁻¹¹ m.

Explanation:

To express a number in standard form, we write it in the form a × 10ⁿ where 1 ≤ a < 10 and n is an integer.

(i) radius of the earth= 6 400 000 m

To express the radius of the earth = 6 400 000 m in standard form, we count the number of decimal places after the first digit. We have 6 decimal places after digit 6. So, we put a decimal point between digit 6 and 4. So, we have 6.4. Since we have 6 decimal places after the six digit, the exponent of our base which is 10 is 6.

So, writing 6 400 000 in the form in a × 10ⁿ, we have a = 6.4 and n = 6. So, in standard form we have 6.4 × 10⁶ m.

So, 6 400 000 =  6.4 × 10⁶ m in standard form.

(ii) radius of hydrogen atom = 0.000 000 000 0529 m

To express the radius of hydrogen atom = 0.000 000 000 0529 m in standard form, we count the number of decimal places after the decimal point including the first non-zero digit. We have 11 decimal places after the decimal point up to and including the first non-zero digit which is digit 5. So, we put a decimal point after the first non-zero digit,5. So, we have 5.29. Since we have 11 decimal places after the decimal point, the exponent of our base which is 10 is -11. The exponent is negative since the digit places are taken after the decimal point.

So, writing 0.000 000 000 0529 m in the form in a × 10ⁿ, we have a = 5.29 and n = -11. So, in standard form we have 5.29 × 10⁻¹¹ m.

So,  0.000 000 000 0529 m = 5.29 × 10⁻¹¹ m in standard form.

Answer:

\(30 \div 33750 = 0.008888\)

The sun is Yellow, red, orange, and blue. Therefore option B is correct.

The star is moving toward an observer. Therefore option B is correct.

39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.

40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.

29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.

30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.

1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.

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the acceleration of the car while they are sliding to a stop =  \(9.97m/s^2\)

What is an acceleration ?

acceleration, price at which velocity adjustments with time, in phrases of each velocity and course. A factor or an item transferring in a directly line is elevated if it hastens or slows down. Motion on a circle is elevated even though the rate is constant, due to the fact the course is usually changing. For all different sorts of motion, each consequences make a contribution to the acceleration.

mass of car (m1) = 405kg

mass of truck (m2) = 673kg

acceleration of car (a1) = ?

acceleration of truck (a2) = \(6m/s^2\)

F1 = F2

m1a1 = m2a2

a1 = \(m2*a2/m1\) = 673*6/405 = \(9.97m/s^2\)

the acceleration of the car while they are sliding to a stop =  \(9.97m/s^2\)

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Answer:

a

Explanation:

An appliance is in a room repeatedly making the same sound all day. As the room heats up from 25 degrees Celsius to 35 degrees Celsius is

B) The sound wave's frequency decreases

As the temperature of the room increments, the speed of sound waves within the discussed increments.

In any case, the recurrence of the sound wave created by the machine remains steady. This implies that the wavelength of the sound wave changes as the speed of the wave changes.

Agreeing with the wave condition, the speed of a wave is rise to its recurrence increased by its wavelength.

Subsequently, in the event that the speed of the wave increments and the recurrence remains steady, the wavelength must diminish. This results in a diminish within the recurrence of the sound wave, making it lower pitched. 

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Answer:

Its A the other person is wrong

Explanation:

Answer:

Electrical>thermal>light

Explanation:

The peak emission wavelength for a campfire with this temperature is 2.32 µm.

Wein's Law is given by the formula: Amax = a/T

We have to find the peak emission wavelength of the campfire using Wein's displacement law which is given by the formula Amax = a/T.

Where Amax is the peak emission wavelength in um, a is a constant that equals 2897 um-K, and T is the blackbody temperature.

Substituting the given values in the formula, we get:

Amax = 2897 / 1250 um-K = 2.32 um

Therefore, 2.32 µm is the peak emission wavelength for a campfire with this temperature

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Answer:

6m/s

Explanation:

Key

Vi = 4.0 m/s

A  = 2.0 m/s/s

D  = 5.0 m

Vf = X or ??

Vf =Vi+2ad

Vf =(4m/s)+ 2(2m/s)(5m)

Vf =16(m/s)+ 20(m/s)

Vf =36(m/s)

Vf =6m/s

The given series, 1 + 7n Σ 57 n = 1, is divergent because the terms in the series continue to increase without bounds, the sum of the series also increases indefinitely.

To determine the convergence or divergence of the series, we can analyze its behaviour as n approaches infinity. The series can be written as Σ(1 + 7n*57) for n = 1 to infinity. By simplifying the expression, we have Σ(399n + 1) for n = 1 to infinity.

As n increases, the summand of the series grows linearly with a coefficient of 399. Since the coefficient is nonzero and positive, the series will diverge. This means that the sum of the series will not approach a finite value as n tends to infinity.

Therefore, the given series is divergent, and we cannot find its sum. It is important to note that a divergent series does not have a finite sum. Therefore, the sum of the given series is "DIVERGES."

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Answer:

C

Explanation:

The distance that the pig moves up will be less than the distance that the strongman pulls down.

Explanation: The strongman is further from the fulcrum than the pig is, so the distance that he pulls down will be greater than the distance that the pig moves up.

The distance that the pig moves up will be less than the distance that the strongman pulls down. Hence, option (C) is correct.

The given problem is based on the work done by the applied force. When some magnitude of force is applied on any object, then there will be some obvious displacement of object. This is known as work done by the object. The expression for the work done by the object is,

w = Fd

here, F is the applied force and d is the displacement.

In the given problem, the applied force will be due to the weight of man and pig. So, the modified form of work done is,

work = Wd

W = work/d

here, W is the weight.

Clearly, more the weight, less will be the displacement and vice versa. So due to heavy weight of man, he will pull the pig easily. Such that the upward distance covered by pig will be less than the distance that the strongman pulls down.

Thus, we can conclude that the distance that the pig moves up will be less than the distance that the strongman pulls down. Hence, option (C) is correct.

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The variations get passed on from one generation of tree snails to the next from both parents to offspring and through the environment (Option C is correct).

The expression of genetic variation refers to differences in the nucleotide sequences between individuals of the same special which are passed across generations from parents to offspring and are selected by natural selection.

In conclusion, the variations get passed on from one generation of tree snails to the next from both parents to offspring and through the environment (Option C is correct).

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Answer:

ITS 20

Explanation:

In the cost equation TC = F + VX, V is best described as the slope of the cost equation. Hence, option (c) is correct.

In this equation, TC represents the total cost, F represents the fixed costs (costs that do not vary with changes in activity level), X represents the activity level, and V represents the variable cost per unit of activity. The variable cost is the portion of the total cost that varies with the level of activity.

The slope of the cost equation (V) represents the rate at which the total cost changes with respect to changes in the activity level. It indicates the increase in total cost for each additional unit of activity.

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When two waves with equal and opposite amplitude interfere, the resulting amplitude will be zero.

This is known as destructive interference. When two waves with equal amplitude but opposite phase (i.e., one wave is at its peak while the other is at its trough) meet at the same point in space, their individual amplitudes will cancel each other out, resulting in a total amplitude of zero. This can occur when waves are perfectly out of phase with each other, meaning that the crest of one wave meets the trough of the other wave. In this scenario, the amplitude of the resulting wave will be the difference between the amplitudes of the two original waves. However, when the waves have equal and opposite amplitudes, they will completely cancel each other out and the resulting amplitude will be zero. This is an important concept in wave theory and has practical applications in fields such as acoustics and optics.

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Answer:

Conductor

Explanation:

A battery holds all of the energy in itself. So without the battery, the circuit cannot work.

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If a ball is thrown vertically upwards with an initial velocity V 0 then here is a set of formula for your quick reference. 1) Maximum height reached = H = V 02 / (2 g) 2) Velocity at the highest point = 0 3) Time for upward movement = V 0 /g 4)

A force of 15 Newton stretches a spring to a total length of 30 cm and an additional force of 10 Newton's stretches to a Spring of 5 cm, the natural length of the spring is 58.5 cm

To find the natural length of the spring, we can use Hooke's law, which states that the force applied to a spring is directly proportional to the displacement of the spring from its natural length.

Let's denote the natural length of the spring as L.

According to the problem, a force of 15 Newton stretches the spring to a total length of 30 cm. This means that the displacement of the spring is 30 cm - L.

Using Hooke's law, we can set up the following equation:

Force = k * Displacement

where k is the spring constant.

For the first scenario, we have:
15 N = k * (30 cm - L)

Next, we are given that an additional force of 10 Newton's stretches the spring to a length of 5 cm. This implies that the displacement of the spring is 5 cm - L.

Using Hooke's law again, we can set up the following equation:

10 N = k * (5 cm - L)

Now we have two equations:

15 N = k * (30 cm - L)
10 N = k * (5 cm - L)

We can solve this system of equations to find the value of L, the natural length of the spring.

By dividing the second equation by 10, we get:

1 N = k * (0.5 cm - 0.1L)

Rearranging the equation, we have:

1 N = 0.5 k - 0.1kL

Now, let's substitute the value of k from the first equation into this equation:

1 N = 0.5 (15 N / (30 cm - L)) - 0.1 (15 N / (30 cm - L)) * L

Simplifying the equation, we get:

1 = 0.75 / (30 cm - L) - 1.5L / (30 cm - L)

Combining the terms on the right side of the equation, we have:

1 = (0.75 - 1.5L) / (30 cm - L)

Cross-multiplying, we get:

30 cm - L = 0.75 - 1.5L

Simplifying the equation, we have:

L - 1.5L = 0.75 - 30 cm

Combining like terms, we get:

-0.5L = -29.25 cm

Dividing both sides of the equation by -0.5, we get:

L = 58.5 cm

Therefore, the natural length of the spring is 58.5 cm.

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Hi there!

This is an example of a recoil collision.

Using the conservation of momentum:

\(p_i = p_f\)

The initial momentum is 0 kgm/s (objects start from rest), so:

\(p_f = 0\)

We are given that the 15 kg block has a velocity of 12 m/s to the left, so:

\(m_1v_1' + m_2v_2' = 0 \\\\15(-12) + 18v_2' = 0 \\\\\)

Solve for v2':

\(18v_2' = 180 \\\\v_2' = \boxed{10 m/s}\)

The correct answer is e. None of the above alternatives gives a true statement. None of the statements in options a, b, c, and d are true when it comes to a modulus M over a ring R having a finite basis.

When a modulus M can be formed entirely from a finite set of elements, the modulus M is said to be finitely generated. M's finite basis does not, however, automatically imply that M is finitely generated. A basis is a set of linearly independent elements, and it might not be enough to produce all of the components of the modulus.

According to the assertion in option b, M must include nonzero items of nonzero order if it has a finite basis. This is untrue, though. The smallest positive number k, such that the element raised to the power of k equals the identity element, is referred to as the order of an element.

According to option c, every non-null element in a modulus with a finite basis has a null. Nevertheless, this claim is likewise untrue. It is possible for a modulus with a finite basis to have non-null elements without a null element.

According to option d, a ring R is a body, or a field, and only then can a modulus have a finite basis. However, this assertion is also untrue. Even though the ring R is not a field, a modulus can nonetheless have a finite basis. None of the given alternatives provides a true statement about a modulus M over a ring R having a finite basis.

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Answer:

Hands opening a bottle with bottle opener

Answer:

1. In environmental science, a community refers to a group of interacting species that live together in a particular habitat. An example of a community is a coral reef ecosystem, which includes a variety of species such as fish, algae, and invertebrates. In order to become a member of a community, a species must be able to survive and reproduce in the habitat and interact with other species.

2. A habitat is the physical environment where a particular species lives and obtains its resources, such as food, water, and shelter. Two or more species can inhabit a habitat if they are able to coexist and share resources without competition or conflict. For example, in a freshwater pond, various species of fish, frogs, and insects can coexist if they occupy different niches within the habitat.

3. Species diversity is greatest under conditions of high productivity, stable environmental conditions, and low levels of disturbance. For example, a tropical rainforest with high levels of rainfall and temperature stability will typically have greater species diversity than a desert with harsh and unpredictable environmental conditions.

4. Protocooperation refers to a mutually beneficial relationship between two species that work together, but not as closely as in mutualism. An example is the relationship between bees and flowers, where bees collect nectar from flowers for food and in the process, help pollinate the flowers. Mutualism is a relationship where both species benefit from each other. An example is the relationship between bees and flowers, where bees collect nectar for food, and in the process, transfer pollen from one flower to another, aiding in reproduction. Commensalism refers to a relationship where one species benefits while the other is neither helped nor harmed. An example is the relationship between barnacles and whales, where barnacles attach themselves to the whale's skin and gain protection and access to food, while the whale is not affected. Parasitism refers to a relationship where one species benefits while the other is harmed. An example is the relationship between ticks and deer, where the tick feeds on the deer's blood, causing harm and potentially spreading disease. Tolerance refers to a species' ability to survive and reproduce in the presence of other species. An example is the ability of some plant species to tolerate shade from other plants. Interactions among species influence what exists in a community by affecting population sizes, distribution, and resource availability. Positive interactions, such as mutualism, can promote coexistence and increase species diversity, while negative interactions, such as competition or predation, can limit population sizes and reduce species diversity.

5. Community changes can be caused by both biotic and abiotic factors, such as climate change, natural disasters, and human activities. Primary succession occurs in areas where no soil exists, such as on newly formed volcanic islands or after a glacier retreats. In this process, pioneer species such as lichens and mosses begin to colonize the area, gradually building up soil and creating conditions for other plant species to grow. Secondary succession occurs in areas where soil already exists, such as after a forest fire or clear-cutting. In this process, plant and animal species gradually recolonize the area, with some species growing more quickly than others depending on their adaptations and the availability of resources. An example of primary succession is the colonization of the volcanic island of Surtsey by pioneer species, while an example of secondary succession is the regrowth of a forest after a fire.

Explanation:

A community in environmental science is a group of different species living together and interacting in a specific area. For example, a coral reef ecosystem is a community where corals, fish, algae, and invertebrates coexist. To become a member of a community, a species needs to find a suitable habitat and establish interactions with other species.

A habitat is the specific physical environment where organisms live. It includes both living and non-living factors that affect survival and reproduction. Two or more species can inhabit a habitat when they can coexist and share resources without significant competition. For instance, a forest habitat accommodates various trees, understory plants, birds, mammals, and insects, each occupying different niches.

Species diversity is greatest under conditions of high ecological complexity, such as diverse habitats, moderate environmental disturbance, and a wide range of resources. Biodiversity is higher in tropical rainforests, coral reefs, and diverse ecosystems that provide various niches for species to thrive.

Protocooperation is a mutually beneficial interaction between different species without full dependency. An example is oxpecker birds feeding on ticks from zebras, benefiting from food while the mammals get parasite removal. Mutualism is a symbiotic relationship where both species benefit, like flowering plants providing nectar for bees while bees aid in pollination. Commensalism benefits one species without affecting the other, such as orchids growing on tree branches. Parasitism benefits the parasite at the host's expense, like ticks feeding on mammalian blood. Tolerance is the ability of species to withstand challenging conditions, such as plants tolerating extreme temperatures.

Interactions among species influence community composition, structure, and dynamics. Positive interactions like mutualism and protocooperation enhance diversity, while negative interactions like competition and predation limit certain species. Predation affects population dynamics and distribution of prey, which cascades through the community. The removal of a keystone predator disrupts the balance, leading to increased prey abundance and potential negative impacts on other species.

Community changes can result from natural disturbances, human activities, climate change, and evolutionary processes. Primary succession occurs in lifeless areas like bare rock, starting with pioneer species such as lichens. They modify the environment, enabling the establishment of other species. Secondary succession happens in disturbed areas with remnants of the previous community, beginning with fast-growing plants and eventually restoring a diverse community. Examples include the formation of a new island through volcanic activity (primary succession) and forest regeneration after a fire (secondary succession).

Answer: Gravitational forces are action-at-a-distance forces

Explanation:

Gravitational forces are action-at-a-distance forces that act between two objects even when they are held some distance apart. For example If you watch a roller coaster car move along its course, then you are witnessing an action-at-a-distance.

Answer:

u=0

t=30s

a=2m/s²

v=?

v= u+at

= 0+(30)(2)

= 60m/s

Answer:

The answer should be C. some mass was consumed in the reaction

A powder and a liquid with a total mass of 20 grams are combined in an open beaker, then the best explanation for the difference in mass is that some mass was consumed in the reaction. Hence, option C is correct.

A chemical reaction is the process by which any or more compounds, known as reagents, change into one or more new ones, known as products. Active ingredients or compounds make up substances. The atoms that make up the reactants are reorganized in a chemical reaction to create various products.

Technology, society, and even life itself depend on chemical interactions in one way or the other and. Chemical reactions have been recognized and employed for thousands of years in a wide variety of activities, including burning fuels, smelting iron, creating pottery and pottery, brewing beer, making wine, and manufacturing cheese. There are countless examples of complicated chemical reactions in all living systems, as well as in the Earth's geology, atmosphere, and oceans.

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That being said, it's important to measure both the length and diameter of a cylinder as accurately as possible to ensure precise and reliable results. The measuring tools and techniques used should be appropriate for the size and shape of the cylinder, and any uncertainties or errors in the measurements should be accounted for and minimized as much as possible.

What is Cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel, congruent circular bases and a curved lateral surface that connects the bases. A cylinder can be thought of as a tube or pipe with a uniform circular cross-section, and is one of the most basic and fundamental shapes in geometry.

In general, the length of a cylinder should be measured more carefully than the diameter. This is because the length of a cylinder typically determines its overall volume and surface area, and any errors in measuring the length can have a larger impact on these properties than errors in measuring the diameter.

For example, if the length of a cylinder is measured too long or too short by even a small amount, it can result in a significant difference in the volume and surface area of the cylinder, which can affect its performance in various applications. On the other hand, errors in measuring the diameter may have a lesser impact on the overall properties of the cylinder, especially if the cylinder has a relatively small diameter or if the diameter is not a critical factor in its use.

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Answer:

B

Explanation:

The question does not specify any outside forces that could slow down the ball horizontally. There fore the ball does not accelerate or decelerate horizontally. Therefore,  a = 0m/s2