a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.

Answer:

The Ability to do work

Explanation:

energy is needed to do work because without energy no work can be done due to the fact that there is no energy

The ODE IS 3 d^2x/dt^2 + 12 dx/dt + 12x = 0

The equation of motion is x = 0.1e^(-4t/3) - 0.1te^(-4t/3)

The equation of motion for a damped harmonic oscillator is given by the following equation:

m d^2x/dt^2 + 2γ dx/dt + kx = 0

where:

m is the mass of the oscillator in kg

γ is the damping coefficient in N⋅s/m

k is the spring constant in N/m

x is the displacement of the oscillator from equilibrium in m

t is time in s

In this case, the mass is 3 kg, the spring constant is 12 N/m, and the damping coefficient is 6 N⋅s/m. So, the equation of motion becomes:

3 d^2x/dt^2 + 12 dx/dt + 12x = 0

The differential equation can be solved using the following steps:

Factor the left-hand side of the equation:

(3d^2/dt^2 + 4d/dt + 4)x = 0

(3d/dt + 4)^2 = 0

3d/dt + 4 = 0

d/dt = -4/3

The general solution of the differential equation is:

x = C1e^(-4t/3) + C2te^(-4t/3)

where:

C1 and C2 are constants of integration

The initial conditions are x(0) = 0.1 m and dx/dt(0) = -0.3 m/s. So, we can substitute these values into the general solution to find the constants of integration:

x(0) = C1 + C2 = 0.1

dx/dt(0) = -4C1/3 - 4C2/3 = -0.3

Solving these equations for C1 and C2, we find that C1 = 0.1 and C2 = -0.1.

The equation of motion is:

x = 0.1e^(-4t/3) - 0.1te^(-4t/3)

This equation describes the motion of the mass as a function of time. The mass oscillates about the equilibrium position with a decreasing amplitude. The damping coefficient causes the amplitude of the oscillations to decrease over time.

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Answer:

“They may feel colder but that's only an illusion,” Dr. Begley says. “Copper mugs actually absorb heat from the room faster than a glass.” Copper is an excellent thermal conductor, meaning it transfers heat from hot sources (like the room or your hand) to cold sources (like your drink) very efficiently.

Explanation:

Answer:

A period in the periodic table is a row of chemical elements

Explanation:

Don't forget to follow me

Answer:

Horizontal rows in a periodic table are called periods

Explanation:

For example: Na (sodium) is in the third period, hence it will have 3 shells

Hope you understand :)

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Answer:

Newton's third law of motion says, "For every action there is an equal and opposite reaction." So that applied to the student's roller coaster, between the marble and the track.

Explanation:

Answer:

A national park is one such protected area for the special species of flora and fauna of the region. In Nepal, there are numerous national parks to conserve and protect wildlife and their natural habitat.

The linear speed of an object on a merry-go-round depends on the distance of the object from the center of rotation. The linear speed is the distance traveled by the object in a given time, which is equal to the circumference of the circle it travels divided by the time. Since the circumference of a circle increases with the radius, an object farther from the center travels a greater distance in the same amount of time and, therefore, has a greater linear speed.

Therefore, the object at the greatest distance from the center of the merry-go-round will have the greatest linear speed. In this case, option A, 3 meters from the center, would have the greatest linear speed since it has the greatest distance from the center. On the other hand, the object at the center of the merry-go-round will have zero linear speed since it does not travel around the circle.

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Newton's Second Law of Motion states that the net force acting on an object is directly proportional to its acceleration. The proportionality constant, which is the object's mass, gives the equation ma = f (force equals mass times acceleration). This means that if a force is applied to an object with a certain mass, it will accelerate proportionally to the magnitude of the force.

Applying Newton's Second Law of Motion allows us to determine the force required to move an object of a certain mass a certain distance. We can also use it to calculate the acceleration of an object given its mass and the force acting on it. The second law states that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. If the mass of the object remains constant, the acceleration produced is directly proportional to the force applied.

The second law also tells us that if a net force is acting on an object, it will accelerate in the direction of that force. This law can be used to explain the motion of objects in both linear and rotational motion. For example, when a bat hits a ball, the force of the bat on the ball causes it to accelerate, and the ball moves in the direction of that force. In summary, applying Newton's Second Law of Motion is a powerful tool for understanding the motion of objects and how they respond to forces acting on them.

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Non-crystalline ceramics deform by viscous flow instead of dislocation motion, True

Ceramics are inorganic compounds. They can be non-metallic or solid materials that can be comprised of metals, non-metal or atoms. Ceramics are known are hard and strong in compression but weak in tension and shearing, these materials are also known for their brittle properties.

Ceramics exits in two major types, these are: crystalline ceramics and non-crystalline ceramics. Crystalline ceramics are those that can easily be shaped to situ, formed with powders and sintered to form a solid body.

On the other hand non-crystalline ceramics are more of glass and formed through melting. They have no regular crystalline structure, and also have no slip or dislocations in them

Non-crystalline ceramics when deforming, they allow ions to slide past each other, hence deforms by breaking and reforming bonds. A condition known as viscous flow.

Thus, the statement given is True, option a is correct.

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Answer:

I = 12.12 A

Explanation:

P = 2.5 kw = 2500 w

formula

\(P=I^{2} R\)

\(I=\sqrt{\frac{p}{R} } =\sqrt{\frac{1500}{17} } =\sqrt{147.06} =12.12 amp\)

Hope this helps

To determine the height of the mass above the ground at t = 0.7 s, we need to consider the properties of the oscillating mass-spring system.

Given that the mass returns to its highest position every 1.2 s, we can determine the period T of the oscillation. The period is the time it takes for the mass to complete one full oscillation cycle. In this case, T = 1.2 s.The height of the mass above the ground at any given time can be described by a sinusoidal function:
y(t) = A * cos(2πt / T) + h
where A is the amplitude of the oscillation and h is the equilibrium position (the height of the mass when it hangs at rest).From the given information, we know that the mass is raised 40 cm (0.4 m) and released at t = 0 s. This displacement from the equilibrium position corresponds to the amplitude of the oscillation, A.
We can now substitute the values into the equation:
y(t) = A * cos(2πt / T) + h
y(t) = 0.4 * cos(2π * 0.7 / 1.2) + 0.5
Evaluating the expression:y(t) ≈ 0.4 * cos(3.665) + 0.5
Using a calculator, we find:y(t) ≈ 0.4 * (-0.999) + 0.5
y(t) ≈ -0.3996 + 0.5
y(t) ≈ 0.1004
Therefore, the height of the mass above the ground at t = 0.7 s is approximately 0.1004 meters.

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The damming of the Colorado River changed the course of the river, preventing river water and sediment from reaching the delta region.

Downstream is everything that happens to the product after it is scrapped. There are many ways the products on our shelves are already impacting the environment before they reach our hands. And when we're done with the product, there's a lot of potential for harm on the other side as well. Downstream flooding is usually caused by prolonged and severe storms. This excess water causes an outflow composed of saturated solids.

Downstream systems prevent excess flow from being discharged freely, increasing the risk of upstream flooding. For example, when discharging to coastal areas, tidal levels can affect the performance of surface flood paths.

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Explanation:

HELP PLS

Hang time is the time it takes to reach the peak of your jump.

False

Answer:

B

Explanation:

The possible magnitude for the force of static friction on the stationary cart is 72.1 N.

The given parameters:

Based on Newton's second law of motion, the force applied to object is directly proportional to the product of mass and acceleration of the object.

F = ma

Static frictional force is the force resisting the motion of an object at rest.

\(\Sigma F = 0\\\\F -F_f = 0\)

where;

\(F_f\) is the frictional force

\(F= F_f \\\\72.1 = F_f\\\\F_f = 72.1\ N\)

Thus, the possible magnitude for the force of static friction on the stationary cart is 72.1 N.

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Answer:

I think ur answer would be B

Explanation:

srry if wrong

hope this helps

Answer: Inertia

Explanation: It's known as the law of inertia, and the entire law has to do with inertia.

Answer: inertia.

Explanation: sometimes referred to as the law of inertia.

The height is 1.49 minutes, and the solidification time for a cylinder with double the diameter is 1.88 minutes.

Casting 10.5 requires knowledge of the Chvorinov's rule, which provides a mathematical relationship between the solidification time of a casting and its volume-to-surface area ratio. The rule states that:

t = C * V^m / A

where:

t = solidification time

C = a constant that depends on the casting material and the mold material

V = volume of the casting

A = surface area of the casting

m = a constant that depends on the shape of the casting

For a cylinder with a diameter of 1.0 in. and a height of 3 in., the volume and surface area can be calculated as:

V = π * (d/2)^2 * h = 0.589 in^3

A = π * d * h = 9.424 in^2

To calculate the solidification time for the given casting, we need to know the values of C and m. These values are typically determined experimentally for a given material and mold. For the purposes of this problem, we will assume that C = 2.5 and m = 2.

Using these values, we can calculate the solidification time for the given casting as:

t = 2.5 * V^2 / A = 0.94 minutes

Now, to calculate the solidification time for a cylinder with double the height, we simply need to double the volume while keeping the surface area constant:

V' = π * (d/2)^2 * 2h = 1.178 in^3

A' = A = 9.424 in^2

Using the same values of C and m, the solidification time for the doubled-height cylinder can be calculated as:

t' = 2.5 * V'^2 / A' = 1.49 minutes

Similarly, to calculate the solidification time for a cylinder with double the diameter, we need to quadruple the volume while doubling the surface area:

V'' = π * (d)^2 * h = 2.356 in^3

A'' = 2 * A = 18.849 in^2

Using the same values of C and m, the solidification time for the doubled-diameter cylinder can be calculated as:

t'' = 2.5 * V''^2 / A'' = 1.88 minutes

Therefore, the solidification time for a cylinder with double the height is 1.49 minutes, and the solidification time for a cylinder with double the diameter is 1.88 minutes.

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Hi!

Explanation:

A set of wires (called snares) is stretched across a drum head at the bottom of the drum. The vibration of the bottom drum head against the snares produces the drum's characteristic "cracking" tone. Claps, snares, and other "sharp" or "bright" sounds are often used in similar ways in drum patterns.

The skin of the drum vibrates and makes the confetti dance. As the air molecules vibrate against each other, sound waves are formed and the sound of the drums can be heard. Fran explains that the pitch of a drum depends on how tight its skin is. ... Hit a drum hard and this makes big vibrations and a loud sound.

Answer:

chemical change

Explanation:

\(\huge\purple{Hi!}\)

Recent research suggests that summer really does tend to be a time of reduced productivity. Our brains do, figuratively, wilt.

One of the key issues is motivation: when the weather is unpleasant, no one wants to go outside, but when the sun is shining, the air is warm, and the sky is blue, leisure calls.

on rainy days, men spent, on average, thirty more minutes at work than they did on comparatively sunny days.

bad weather made workers more productive, as measured by the time it took them to complete assigned tasks in a loan-application process.

When the weather improved, in contrast, productivity fell. The mere thought of pleasant alternatives made people concentrate less.

In summer, our thinking itself may simply become lazier.

Pleasant weather can often lead to a disconcerting lapse in thoughtfulness.

The better the weather, the easier it was to get the students to buy into a less-than-solid argument: on days that were sunny, clear, and warm, people were equally persuaded by both strong and weak arguments in favor of end-of-year comprehensive exams.

When the weather was rainy, cloudy, and cold, their critical faculties improved: in that condition, only the strong argument was persuasive.

Summer weather—especially the muggy kind—may also reduce both our attention and our energy levels.

In one study, high humidity lowered concentration and increased sleepiness among participants.

The weather also hurt their ability to think critically: the hotter it got, the less likely they were to question what they were told.

The shift toward mindlessness may be rooted in our emotions.

People get happier as days get longer and warmer in the approach to the summer solstice, and less happy as days get colder and shorter.

They also report higher life satisfaction on relatively pleasant days. The happiest season, then, is summer.

A good mood, generally speaking, has in turn been linked to the same type of heuristic, relatively mindless thinking.

A bad mood tends to stimulate more rigorous analytical thought. Weather-related mood effects can thus play out in our real-life decisions—even weighty ones.

There’s a limit to heat’s ability to boost our mood.

when temperatures reach the kind of summer highs that mark heat waves all over the world, the effect rapidly deteriorates.

on days when the temperature rose above ninety degrees, the negative impact on happiness levels was greater than the consequences of being widowed or divorced.

Our cognitive abilities seem to improve up to a certain temperature, and then, as the temperature continues to rise, quickly diminish.

the optimal temperature hovered around seventy-two degrees Fahrenheit, twenty-seven degrees Celsius, or roughly eighty-one degrees Fahrenheit.

Blistering heat does give us a perfectly good reason to eat ice cream: studies have shown again and again that blood glucose levels are tied to cognitive performance and willpower. A bite of something frozen and sweet, boosting depleted glucose stores, might be just what a brain needs as the temperature spikes.

Answer:  002 10.0points Two blocks are arranged at the ends of a massless string as shown in . 96 kg mass has fallen through 0 . 415 m, its downward speed is 1 . 25 m / s.

Explanation: I hoped that helped!!

Answer:

2.5 kg

Explanation:

Answer: I think it’s C but I’m not completely sure about it please correct me if I’m wrong

Answer:

Explanation:

The only thing I can figure you need here is the accleration of the sled. The equation we need to find this is Newton's Second Law that says that sum of the forces acting on an object is equal to the object's mass times its acceleration. For us, that looks like this because of the friction working against the sled:

F - f = ma but of course it's much more involved than that simple equation! We have the F value as 230 N, and we have the mass as 105, but we do not have the frictional force, f, and we need it to solve for a in the above equation. We know that

f = μ\(F_n\) where μ is the coefficient of friction, and \(F_n\) is the normal force, aka weight of the object. We will use the coefficient of friction and find the weight in order to fill in for f:

\(F_n=mg\) so

\(F_n=(105)(9.8)\) so the weight of the sled is

\(F_n=\) 1.0 × 10³ with the correct number of sig dig there. Now to find f:

f = (.025)(1.0 × 10³) so

f = 25 to the correct number of sig fig. Now on to our "real" equation:

F - f = ma and

230 - 25 = 105a. We have to do the subtraction first, round, and then divide since the rules for addition and subtraction are different from the rules for dividing and multiplying.

230 - 25 will round to the tens place giving us 210. Then

210 = 105a. 210 has 2 sig figs in it while 105 has 3, so we will divide and round to 2 sig fig:

a = 2.0 m/sec²

Answer:

The ball travels faster when Mike throws it.

Explanation:

Mike throws the ball harder, with a greater force, so the ball travels faster when Mike throws it than when Joe does.

Hi there!

To solve, we can use a summation of torques.

For the see-saw to balance, the sum of torques must equal 0, so:

∑τ = 0

Recall that:

τ = rFsinθ

r = distance from pivot (meters)

F = force (N)

In this case, the forces are the weight of the children. Also, we can leave the distance in centimeters for this type of problem, but others do require a conversion to meters.

Multiply each mass by 10 (g ≈ 10 m/s²) to get the weight:

Στ = 270(400) - x(300) = 0

270(400) = 300x

Solve for 'x', the distance in cm away from the fulcrum:

108000/300 = 360 cm

A sled is initially moving on a straight track at 3.5 m/s. The final velocity of the sled will be 3.75m/s. When the acceleration is 2.0 m/s².

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force applied on an item determines the direction of its acceleration.

Given parameters:

Initial velocity  = 3.5m/s

Final velocity  = ?

Time taken  = 2s

acceleration = 2m/s²

\(a = v_f - v_i/t\)

2 = x - 3.5/2

x = 3.75 m/s

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Answer:

Mass of Vehicle = 600 kg

Force = F = 7000 N

Drag force = f = 500 N

Let Fnet is net force on Vehicle then

Fnet = F - f

Fnet = 7000 - 500

Fnet = 6500 N

Let a is acceleration of Vehicle then by Newton's law

Fnet = Ma

a = Fnet / M

a = 6500/ 600

a = 10.83 m/s2

This is acceleration of Vehicle

Explanation:

Answer:

16 / 4 = ratio of diameters

A = pi r^2

A16 / A4 = pi * 8^2 / (pi 2^2) = 16

The light gathering power would increase by a factor of 16

The light-gathering power of the telescope increase by 16 times with that upgrade

The Light gathering power  of an optical telescope is the ability of a telescope to collect a lot more light than human eye .

Light gathering power can be calculated by the ratio of their diameter squared

light gathering power with initial aperture = L1

light gathering power with final aperture = L2

L2 / L1 = \(16^{2}\) / \(4^{2}\)

L2/L1 = 16

L2 = 16 L1

The light-gathering power of the telescope increase by 16 times with that upgrade

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The volume flux inside the rectangular duct is 0.028 m³/s.

Volume flux, also known as volumetric flow rate, is a measure of the volume of fluid passing through a given area per unit time. It is commonly expressed in cubic meters per second (m³/s). To calculate the volume flux in the given scenario, we can use the formula:

Volume Flux = (Air flow rate) / (Cross-sectional area)

First, we need to calculate the cross-sectional area of the rectangular duct. The area can be determined by multiplying the length and width of the duct:

Area = (138 mm) * (346 mm)

To maintain consistent units, we convert the dimensions to meters:

Area = (138 mm * 10⁻³ m/mm) * (346 mm * 10⁻³ m/mm)

Next, we can calculate the air flow rate using the given information. The air flow rate is given as 17 N/s, which represents the mass flow rate. We can convert the mass flow rate to volume flow rate using the ideal gas law:

Volume Flow Rate = (Mass Flow Rate) / (Density)

The density of air can be determined using the ideal gas law:

Density = (Pressure) / (Gas constant * Temperature)

where the gas constant (R) is given as 28.5 m/K, the pressure is 112 kPa, and the temperature is 20 degrees Celsius.

With the density calculated, we can now determine the volume flow rate. Finally, we can divide the volume flow rate by the cross-sectional area to obtain the volume flux.

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