What is the time if the velocity is 294 ft/s and the acceleration is 22 ft/s²? ​

To solve this problem, we can use the equations of motion for a freely falling body with constant acceleration due to gravity (g = 9.81 m/s²).

a. The time for which it is above a height of 63m:

We can use the following equation of motion to find the time t it takes for the particle to reach a height of 63 m above the ground:

y = uyt + (1/2)gt²

where y is the displacement (height) of the particle, uy is the initial velocity in the y-direction (upward), and t is the time.

At the highest point of its trajectory, the particle will have zero velocity, so we can use the initial velocity as uy = 36 m/s. We want to find the time t when the particle reaches a height of y = 63 m, so we can rearrange the equation to solve for t:

t = (-uy ± sqrt(uy² + 2gy))/g

where the ± sign indicates that there are two possible solutions, one for when the particle is going up (positive root) and one for when the particle is coming down (negative root).

Plugging in the values for uy, g, and y, we get:

t = (-36 ± sqrt(36² + 2*(-9.81)*63))/(-9.81)

t = 6.53 s (upward)

b. The speed which it has at this height on its way down:

When the particle reaches a height of 63 m on its way down, we can use the following equation to find its velocity vy:

vy² = uy²+ 2g(y - yo)

where yo is the initial height (0 m) and uy is the initial velocity in the y-direction (upward).

We can plug in the values for uy, g, and y, and solve for vy:

vy²= 36²+ 2(-9.81)(63 - 0)

vy = 32.2 m/s (downward)

c. The total time of flight:

The total time of flight is twice the time it takes for the particle to reach the maximum height, since it takes the same amount of time to come back down to the ground. Therefore, the total time of flight is:

t_total = 2t_upward = 2(6.53) = 13.06 s

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Here, the total momentum before and after the release of the projectile is same. From this concept the final velocity of the cannon after the release will be 0.00433 m/s.

Momentum of an object is the product of its mass and velocity. During a collision, the momentum after and before the collision is constant. This can be applied in the case of a projectile from the cannon.

Here, the initial momentum of the cannon and the ball is zero, because they are at rest.

After, projectile the total momentum momentum is zero itself according to conservation of momentum.

momentum of the ball = 0.05 kg × 0.1 m/s cos 30 + 1 kg × v = 0

Here v is the velocity of the cannon.

then v = 0.05 kg × 0.1 m/s cos 30  / 1 kg

          = 0.0043 m/s.

Therefore, the velocity of the cannon after the projectile is released is 0.0043 m/s.

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Answer:

20.5 m/s

Explanation:

Answer:

A. 1.66x10^-3 N

B. An angle of 45 degrees from the positive x-axis

Explanation:

To solve this problem, we can use Coulomb's law, which states that the force between two point charges is given by:

F = kq1q2/r^2

where k is Coulomb's constant (k=8.99x10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.

A) Magnitude of force on each charge:

The force on each charge due to the other three charges is the vector sum of the individual forces. Since the charges are located at the corners of a square, the distance between each pair of charges is r = 0.100 m * sqrt(2) = 0.1414 m.

Using Coulomb's law, the magnitude of the force on each charge is:

F = kq1q2/r^2

= 8.99 x 10^9 N m^2/C^2 * (4.60 x 10^-3 C)^2 / (0.1414 m)^2

= 1.66 x 10^-3 N

So the magnitude of the force on each charge is 1.66 x 10^-3 N.

B) Direction of force on each charge:

The force on each charge due to the other three charges is a vector sum of the individual forces, so we need to use vector addition to find the direction of the net force. We can break the forces into x- and y-components and then add them up.

Since the charges are located at the corners of a square, the force on each charge will be directed along the diagonal of the square. Let's define the positive x-axis to be to the right and the positive y-axis to be up. Then, the direction of the force on each charge will be at an angle of 45 degrees from the positive x-axis.

The x-component of the force will be equal in magnitude for each charge since they are all equidistant from the y-axis. Using trigonometry, we can find that the x-component of the force is:

F(x) = F * cos(45) = 1.18 x 10^-3 N

The y-component of the force will be equal in magnitude for each charge since they are all equidistant from the x-axis. Using trigonometry, we can find that the y-component of the force is:

F(y) = F * sin(45) = 1.18 x 10^-3 N

So the direction of the force on each charge is at an angle of 45 degrees from the positive x-axis and has components of 1.18 x 10^-3 N in the x-direction and 1.18 x 10^-3 N in the y-direction.

The distinction among renewable and nonrenewable is substantial. One explanation for why some materials are unique to specific locations is the movement of tectonic plates. On Earth, not every resource can be found.

Huge fragments of the Planet's crust and upper mantle make up tectonic plates. They are composed of both continental and oceanic crust. Along pre ridges and the significant faults that define the plate boundaries, earthquakes happen.

According to the idea of plate tectonics, Earth's crust is made up of enormous solid rock slabs called "plates" that move across the beneath, the rock inner layer above the planet's core. The crust is a part of the solid outer layer of the earth.

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The change in momentum of the ball is 1.0 kg m/s [E].

The change in momentum of the ball can be calculated using the formula:

Δp = p₂ - p₁

where Δp is the change in momentum, p₂ is the final momentum, and p₁ is the initial momentum.

The momentum of an object is defined as the product of its mass and velocity, so we can calculate the initial and final momenta of the ball as follows:

p₁ = m₁v₁ = (0.1 kg)(5 m/s [W]) = -0.5 kg m/s

p₂ = m₁v₂ = (0.1 kg)(5 m/s [E]) = 0.5 kg m/s

Substituting these values into the formula for Δp, we get:

Δp = p₂ - p₁ = (0.5 kg m/s) - (-0.5 kg m/s) = 1.0 kg m/s [E]

Therefore, the change in momentum of the ball is 1.0 kg m/s [E] using Δp = p₂ - p₁.

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To calculate the total work done on the block by all forces as it moves a distance "l" up the incline, we need to consider the work done by each force separately.

Assuming that the block is moving up the incline with a constant velocity, the net force on the block is zero. Therefore, the work done by the net force on the block is also zero.

However, there are two forces acting on the block: the force of gravity (Fg) and the force of friction (Ff). Since the block is moving up the incline, the direction of the frictional force is opposite to the direction of the displacement of the block, so the work done by the force of friction is negative.

The work done by the force of gravity is given by:

Wg = Fg * d

where Fg is the force of gravity acting on the block and d is the distance moved by the block in the direction of the force of gravity. Since the block is moving up the incline, the distance moved by the block in the direction of the force of gravity is l sinθ, where θ is the angle of inclination of the incline.

The work done by the force of friction is given by:

Wf = Ff * d

where Ff is the force of friction acting on the block and d is the distance moved by the block in the direction of the force of friction. Since the block is moving up the incline, the distance moved by the block in the direction of the force of friction is also l sinθ.

Since the force of friction is opposing the motion of the block, the work done by it is negative:

Wf = -μk * N * l sinθ

where μk is the coefficient of kinetic friction, N is the normal force exerted on the block by the incline and l sinθ is the distance moved by the block in the direction of the force of friction.

Therefore, the total work done on the block by all forces as it moves a distance "l" up the incline is:

Wtot = Wg + Wf

= Fg * l sinθ - μk * N * l sinθ

= (m * g * sinθ) * l sinθ - μk * (m * g * cosθ) * l sinθ

= (m * g * sinθ - μk * m * g * cosθ) * l sinθ

where m is the mass of the block, g is the acceleration due to gravity.

So, the total work done on the block by all forces as it moves a distance "l" up the incline is (m * g * sinθ - μk * m * g * cosθ) * l sinθ.

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smallest possible potential energy The potential energy of the cart began to rise once more as it advanced higher up the loop as it entered the loop, but it was never able to match its level at the top of the hill.

Potential energy is the energy that is held in reserve by an object due to its position or condition. Potential energy exists in objects like a spring stretched out, a bicycle on a hilltop, and a book held above your head.

On the other hand, kinetic energy is the energy of an object or a system's particles in motion .The most gravitational potential energy between the cart and the Earth was stored at the top of the hill, which was the tallest point on the ride where the cart was stationary. When the cart was at the top of the hill, it had the highest potential energy due to its position above the ground. As the cart began to move downhill, some of this potential energy was converted into kinetic energy, which increased the cart's speed.

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Butyl rubber is the measured value agrees with an established value if the established value is within a range of ±2Δx of the measured mean.

What is temperature ?

The movement of these particles likewise increases with rising temperature. A thermometer or a calorimeter are used to measure temperature.

What is reaction ?

The transformation of one or more reactants into one or more new products is referred to as a chemical reaction. Substances are made of chemical constituents or compounds. The transformation of one or more reactants into one or more new products is referred to as a chemical reaction. Substances are made of chemical constituents or compounds.

Therefore, Butyl rubber is the measured value agrees with an established value if the established value is within a range of ±2Δx of the measured mean.

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Answer:

Find his gravitational then divide it by your potential

Answer: 2452.5 Joules

Explanation: The equations we will be using in the problem are Weight=Mass*(Newton's Gravitational constant(9.81m/s^2)) and Work=Force*displacement*cos(the angle between the force and displacement vectors). We won't be needing the cosine part of the work equation because the work and force vectors are parallel so the angle is 0(cos(0)=1).

We are told Julie is 50 kg and she climbs 5 meters I.e. her displacement is 5 meters. We first have to calculate the force acting on Julie so that we can determine what force we will use in the work equation. Weight is a force so we can convert her 50 kg to a weight. We do this by plugging into Weight=Mass*9.81.

Weight=50kg*9.8m/s^2=490.5 Newtons.

Now we know the force that Julie is working against while climbing the stairs. She climbs 5.0m up so her total displacement is 5 meters.

Work=(490.5 N)(5 meters)= 2452.5 Joules

Hope this helps!

For extra practice, figure out how much work Julie was to do if she had been carrying her pet dog in her arms who weighed 32 Kg while climbing 5.0 meters up the stairs.

The little number you see to the right of the symbol for an element is called a subscript. That number indicates the number of atoms of that element present in the compound.

The order of net coulombic measurement of the amount is (4) > (3) > (1) > (2) .

The Many Kinds of Electric Forces Electromagnetic forces can be divided into two categories: attractive electromagnetic forces and repellent electrical forces. Related crimes repel each other whereas opposite charges attract one another.

(1)   Net charge density force on charge q: magnitude  = kQq / R2  +  2 kQq cos(theta) / R2

                                                                   = k Q q ( 1 + 2 cos(theta) ) / R2

(2)   Net charge density force on charge q: magnitude = kQq / R2  +  2 kQq cos(theta) / (R/cos(theta))^2

                                                                = k Q q ( 1 + 2 cos3(theta) ) / R2

(3) Net charge density force on charge q: magnitude =  3 kQq / R2

(4)Net charge density force on charge q: magnitude=  kQq / (R/2)^2  = 4 kQq / R2

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Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings.

dQ/dt = -k(T - Troom)

where Q is the amount of heat in the water, t is time, k is a constant, T is the temperature of the water, and Troom is the room temperature.

Using the given information, we can set up the following system of equations:

100 = k(100 - 21) (at t = 0) 65 = k(100 - 21) e⁽⁻¹⁰⁾k (at t = 10)

Solving for k in the first equation gives k = 1/79. Plugging this value into the second equation and solving for T gives T = 36.1 degrees Celsius.

Now, to find the temperature after an additional 5 minutes, we can use the same equation with a new time value:

T = (65 - Troom) e^(-k(10+5)) + Troom

Plugging in the values we know gives T = 30.4 degrees Celsius.

Therefore, the temperature of the water after an additional 5 minutes of cooling is approximately 30.4 degrees Celsius

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The scientists in the 1997 film "Dante's Peak" know an eruption is coming because of "rats" are congregating as well as the "sulfur dioxide" measurements are rising.

Peak Dante | 1997 Wallace, located in Idaho's Western Rockies in the Bitteroot Alps, serves as the model for the fictional hamlet of "Dante's Peak". Digitally added elements include "Dante's Peak" and the surrounding alpine environment. The setting for Michael Cimino's novel Heaven's Gate was Wallace.

Dante's Peak may not have been warmly accepted at the time as it was treated seriously. It was a dreadful bomb that barely made $175 million just at movie office, like its rival Volcano.

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Before they begin to fall, the potential energy of the roadrunner and the coyote is the same regardless of their mass. Both the roadrunner and the coyote have zero kinetic energy just before they begin to fall.

The energy an individual or an object has as a result of motion—in this case, the motion of the falling apple—is known as kinetic energy. Potential energy, which exists in a bike that is parked on top of a hill, is converted to kinetic energy when you start riding it downhill.

By virtue of energy conservation, kinetic energy (KE) must be equal to the change in potential energy (qV), or vice versa. The voltage between the plates and the electron's energy are numerically equivalent in electron-volts. A 5000-V potential difference, for instance, results in 5000-eV electrons.

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Sound waves can travel through a medium (such as air, water, or solid objects) and can reflect or diffract around obstacles, allowing them to be heard even when there is no direct path to the source of the sound.

When sound waves encounter an obstacle, they can either reflect or diffract. Reflection occurs when sound waves bounce off a surface and return in the direction they came from. Diffracton occurs when sound waves bend around an obstacle and continue in a different direction. This allows sound waves to travel around corners and through small openings.

For example, if someone is talking behind a wall, the sound waves they produce can diffract around the wall and reach your ears, allowing you to hear them. Similarly, when you hear an echo, it is because sound waves have reflected off a surface and reached your ears.

In some cases, sound waves can even travel through solid objects. This is known as vibration or bone conduction. For example, when you hear your own voice or a piece of music through a set of headphones, the sound waves are transmitted through the headphones and vibrate the bones in your ear, which sends signals to your brain that you perceive as sound.

In summary, sound waves can travel through a medium and reflect or diffract around obstacles, allowing them to be heard even when there is no direct path to the source of the sound.

Answer:131s

Explanation:

time = 5.15*10^5 J / 3940

Angular velocity of the drum at this speed having 15m diameter is 3.6 rad/s

Friction is a resistance to motion of the object. for example, when a body slides on horizontal surface in positive x direction, it has friction in negative x direction and that measure of friction is a frictional force.

frictional force is directly proportional to the Normal(N).

i.e. [tex]F_{fri}[/tex]∝ N

[tex]F_{fri}[/tex] = μN

where μ is called as coefficient of the friction. It is a dimensionless quantity.

When a body is kept on horizontal surface, its normal will be straight upward which is reaction of mg. i.e. N=mg.

Given,

Diameter of the drum D = 10m , Radius r = 5m

Coefficient of static friction μ = 0.15

To stay everyone pinned against the wall of drum. Frictional Force must be equal to weight mg which are opposite to each other.

μN = mg ........1)

Centrifugal acceleration = Normal

mv²÷r = N

With this equation 1 becomes

μmv²÷r = mg

v² = rg÷μ

v² = 5m*9.8m/s ÷ 0.15

v² = 326.6

v=  = 18.07 ~ 18 m/s

Hence minimum linear velocity required for the drum  is 18m/s.

for angular velocity of the drum, V=rω

ω = v÷r

ω = 18m/s ÷ 5m

ω = 3.6 rad/s

Hence angular velocity of the drum at 18m/s speed is 3.6 rad/s

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Answer:

The coil rotates due to its inertia.

Maximum torque occurs when the plane of the coil is parallel to the magnetic field - consider the directions involved in F = I L B - the resulting force is perpendicular to I and B

The movement of plates is explained by the theory of plate tectonics, which proposes that the Earth's lithosphere (made up of rigid plates) moves slowly over the underlying, more fluid asthenosphere due to the circulation of heat from the Earth's interior

What is Tectonics Plates?

Tectonic plates are large pieces of the Earth's lithosphere (made up of the crust and uppermost part of the mantle) that move around on the underlying asthenosphere, a more fluid layer of the mantle. The lithospheric plates are rigid and brittle, and they move in response to forces generated by the circulation of heat in the Earth's interior. The movement of the plates causes many geological features such as mountains, volcanoes, earthquakes, and oceanic trenches.

There are several major and minor tectonic plates, including the Pacific Plate, the North American Plate, the African Plate, the Eurasian Plate, and the Antarctic Plate. These plates interact with each other at their boundaries, which can be divergent (moving apart), convergent (moving towards each other), or transform (sliding past each other).

The lithospheric plates move apart at divergent boundaries, collide at convergent boundaries, and slide past each other at transform boundaries. These interactions at the boundaries cause many geological features such as volcanoes, mountain ranges, and earthquakes. The plate tectonics theory has been supported by various lines of evidence, including the study of earthquakes, magnetic anomalies, and the distribution of fossils and rocks around the world.

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Answer: B

Explanation:

B. undergoes no change in velocity.

The speed of an object that is moving in a circle with constant speed remains constant. This means that the object is not speeding up or slowing down, and therefore it does not experience any change in velocity.

Answer: 20

Explanation:

displacement = 55 cm.Initial position = 25 cm,Final position = 80 cm,Displacement = final position-finitial position,Putting values in above formula,D = 80 cm - 25 cm,D = 55 cm,It means that the displacement of the ant is 55 cm.

Distance is the length of any path connecting any two places.As measured along the shortest path between any two points, displacement is indeed the direct distance between them.The direction is ignored when calculating distance.

Displacement is just the distance between an object's starting point and its final location, whereas distance is indeed the length of an object's path.

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Kinship charts, often known as kinship diagrams, show relationships. Similar to a family tree chart or a pedigree chart, you can use a kinship diagram to display your genealogy.

An illustration of relationships in a family, community, or culture is called a kinship diagram. Kinship charts resemble family trees in many ways. Therefore, kinship diagrams are used more broadly to comprehend how most families in a culture function rather than identifying individual names or modeling the diagram after one family.

Kinship diagrams enable cultural anthropologists to swiftly sketch out relationships between people throughout the interview process. Also, it offers a way to represent kinship patterns visually in cultures without the use of names, which can be confusing, and it protects people's privacy.

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The mechanical advantage of the lever will be 4.

The distance the gardener pushed the shovel will be 0.8 m.

a) The mechanical advantage of the lever can be calculated using the formula:

MA = output force/input force

In this case, the output force is the weight of the rock (200 N) and the input force is the force applied to the shovel (50 N). Therefore:

MA = 200 N / 50 N = 4

So the mechanical advantage of the lever is 4.

b) The distance that the gardener pushes the shovel can be calculated using the formula:

output distance / input distance = input force / output force

In this case, the output distance is the distance that the rock is lifted (0.20 m) and the input distance is the distance that the gardener pushes the shovel (unknown). We know the input force (50 N) and the output force (200 N), so we can set up the equation:

0.20 m / x = 50 N / 200 N

Simplifying and solving for x:

0.20 m * 200 N / 50 N = x

0.8 m = x

Therefore, the gardener pushes the shovel down 0.8 m.

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Yes, External forces can cause elastic materials to vibrate around them

What drives the external forces?

External factors are those brought on by an outside the system agent. Regardless of the place of application, an external non-zero net force causes the system's center of mass to accelerate. Internal forces are the forces that the system's objects trade.

A system's momentum is altered by an external source that exerts force on it. This may appear as a shift in the system's position, velocity, or acceleration.

An elastic material deforms in response to an external force, and internal resistance develops as a result of molecular cohesion. Within elastic bounds, the internal resistance's effort is stored as strain energy. Resilience is the term for this stress force.

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A. We must examine the direction of the electric field the disk produces in order to identify whether it is negatively or positively charged.

If a charged disk is positively charged, the electric field it produces is directed away from the disk, and if it is negatively charged, the electric field is directed toward the disk.

The electric field owing to the disk must be directed away from the disk since the electric field due to the dipole at point "x" is directed toward the positive charge, proving that the disk is positively charged.

B. The electric field at point 'x' due to the disk can be calculated using Gauss's law, which gives us:

E = σ/(2ε0),

σ/(2ε0) = 0

σ = 0

This indicates that the disk has zero charge density.

C. Since the disk has zero charge density, the charge on the disk is also zero. Therefore, there is no charge on the disk.

The symmetry of the molecules is established using the dipole moment. The molecules would not be symmetrical and have some dipole moment if they contained two or more polar links.

For illustration, H2O = 1.84 D and CH 3Cl, or methyl chloride, = 1

When there is a separation of charge, dipole moments happen.

Dipole moments, which result from variations in electronegativity, can happen between atoms in a covalent link or between two ions in an ionic bond.

The dipole moment increases with the difference in electronegativity.

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