in order to treat the horizontal and vertical dimensions of a projectile as separate, which assumption must be true? initial y velocity is zero air resistance is negligible the projectile travels over level ground initial velocity is at a 45 degree angle initial x velocity is zero

1 meter per second squared is equivalent to 0.001 kilometer per second squared.

To convert 1 meter per second squared (m/s²) into kilometer per second squared (km/s²), we need to consider the conversion factor between meters and kilometers.

1 kilometer is equal to 1000 meters, so we can use this conversion factor to convert the units.

First, let's convert the acceleration from meters per second squared to kilometers per second squared:

1 m/s² = (1/1000) km/s²

Therefore, 1 meter per second squared is equal to 0.001 kilometer per second squared.

So, 1 m/s² = 0.001 km/s².

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Answer : If an object falls freely from rest on a planet where the acceleration due to gravity is 20 m/s2 then after 5 seconds, the object will have a speed of  100 m/s

This can be calculated using the equation v = a*t, where v is the velocity, a is the acceleration due to gravity, and t is the time elapsed. Therefore, in this case, v = 20 m/s2 * 5 s = 100 m/s.  These values are given in question, so we just have to put them in equation.

Since the object is falling freely, its acceleration remains constant and it follows a uniform acceleration motion. Therefore, the velocity of the object will increase linearly with time. After 10 seconds, the velocity will double to 200 m/s, and so on.

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Answer:

Bahhhhhhhhhhhhhhhhhhh perks pls

Explanation:

Saturn is made up of hydrogen and helium like Jupiter.

Saturn is an enormous planet that orbits the sun, and it is located in the outer reaches of our solar system. It is the second-largest planet in the solar system, and it is characterized by its massive ring system, which makes it instantly recognizable to most people.

Saturn's atmosphere is primarily composed of hydrogen and helium gases, with trace amounts of other elements like ammonia, methane, and water vapor. In contrast, the planet's interior is believed to consist of a dense core of iron, nickel, and rock, surrounded by a layer of metallic hydrogen, which in turn is surrounded by a layer of molecular hydrogen.

What makes Saturn truly unique is its spectacular ring system, which consists of a vast array of individual rings that circle the planet. These rings are made up of small particles of ice and rock that range in size from tiny specks to massive boulders. They are thought to be remnants of comets, asteroids, and other debris that have been captured by Saturn's gravitational field over the course of its long history.

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The work done by the gravitational force in equalizing the levels when the two vessels are connected is 0.03733 J.

The work done by the gravitational force in equalizing the levels when the two vessels are connected can be found using the formula:

Work = force x distance

where force is the weight of the liquid and distance is the difference in height between the two vessels. The weight of the liquid in each vessel can be calculated as the product of the volume and density of the liquid, and the difference in height can be found by subtracting the height of the lower vessel from the height of the higher vessel.

The weight of the liquid in each vessel can be calculated as:

Weight = density x volume x gravity

where density is 1.17 g/cm³, volume is the product of the area of the base and height of the liquid, and gravity is 9.81 m/s².

For the vessel with a liquid height of 0.906 m, the volume can be calculated as:

Volume = area of base x height of liquid = 2.94 cm² x 0.906 m = 0.00266244 m³

So, the weight of the liquid in this vessel is:

Weight = 1.17 g/cm³ x 0.00266244 m³ x 9.81 m/s² = 0.031105 N

Similarly, for the vessel with a liquid height of 1.50 m, the volume can be calculated as:

Volume = area of base x height of liquid = 2.94 cm² x 1.50 m = 0.00441 m³

So, the weight of the liquid in this vessel is:

Weight = 1.17 g/cm³ x 0.00441 m³ x 9.81 m/s² = 0.051456 N

The difference in height between the two vessels is:

Height difference = 1.50 m - 0.906 m = 0.594 m

Therefore, the work done by the gravitational force in equalizing the levels when the two vessels are connected is:

Work = force x distance = (0.051456 N + 0.031105 N) x 0.594 m = 0.03733 J

Therefore, the work done by the gravitational force in equalizing the levels when the two vessels are connected is 0.03733 J.

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Explanation:

total distance travelled = 400m

total time taken = 4min 45sec = 4*60 + 45 = 285sec

Avg speed = 400/285

                   = 2.162162....m/s

                   = 2.162....m/s

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The current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.

The strength of the magnetic force depends on the number of the turns of the wire and the amount of current flowing in the wires in a given magnetic field.

The relationship between the magnetic force and the number of wire coils on an electromagnet is given as;

F = I  x N

where;

Thus, the current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.

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The capacitance of the capacitor with 4.6 cm x 4.6 cm metal plates separated by a 0.22-mm-thick piece of Teflon is about 178 picofarads.

The capacitance (C) of a capacitor can be calculated using the formula: C = ε * A / d, where ε is the permittivity of the dielectric material (Teflon in this case), A is the area of the metal plates, and d is the distance between the plates.
For Teflon, the relative permittivity (εr) is approximately 2.1. The permittivity of free space (ε0) is 8.85 × \(10^{(-12)}\) F/m. Therefore, the total permittivity (ε) of Teflon is ε = εr * ε0 = 2.1 * 8.85 × \(10^{(-12)}\) F/m ≈ 18.58 × \(10^{(-12)}\) F/m.
The area of each metal plate is 4.6 cm x 4.6 cm. To convert to meters, multiply by 0.01: A = (4.6 * 0.01 m) x (4.6 * 0.01 m) = 0.046 m x 0.046 m ≈ 0.002116 \(m^2\).
The distance between the plates is 0.22 mm, which is equal to 0.22 * \(10^{(-3)}\) m or 2.2 × \(10^{(-4)}\) m.
Now we can calculate the capacitance: C = (18.58 × \(10^{(-12)}\) F/m) * (0.002116 \(m^2\)) / (2.2 × \(10^{(-4)}\) m) ≈ 1.78 × \(10^{(-10)}\) F, or approximately 178 pF (picofarads).

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The distance from the axis of the force applied is 2.05 m.

The distance from the axis of the force applied is calculated as follows;

The formula for torque;

τ = Fr

where;

Another formula for torque is given as;

τ = Iα

where;

τ = (mr²)α

τ = (25 kg x (0.925 m)²) x (1.84 rad/s²)

τ = 39.36 Nm

The distance is calculated as;

r = τ/F

r = ( 39.36 Nm ) / (19.2 N)

r = 2.05 m

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The spring constant (k) can be calculated using the formula:

k = F/x

where F is the applied force and x is the resulting displacement.

Plugging in the given values, we get:

k = 4 N / 0.05 m

k = 80 N/m

Therefore, the spring constant of the spring is 80 N/m.

When you compress or extend a spring – or any elastic material – you’ll instinctively know what’s going to happen when you release the force you’re applying: The spring or material will return to its original length. It’s as if there is a “restoring” force in the spring that ensures it returns to its natural, uncompressed and un-extended state after you release the stress you’re applying to the material. This intuitive understanding – that an elastic material returns to its equilibrium position after any applied force is removed – is quantified much more precisely by ​Hooke’s law​.

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That there are not significate amounts of dark matter wihtin our solar system.

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Explanation:

The electric field is normal to any conductor charged surface, then any negatively charged sharp end will concentrate the electrons in order to achieve that (being rejected by the others on main body), that also implies a huge voltage drop nearby the edge, meaning high electric field in the direction aimed by the sharp end, that field becomes strong enough (when charged by electrostatic machines) to propel electrons out causing air movement in that direction (a flame will bend because of that wind).

Ion wind, ionic wind, coronal wind or electric wind is the airflow induced by electrostatic forces linked to corona discharge arising at the tips of some sharp conductors (such as points or blades) subjected to high voltage relative to ground. Ion wind is an electrohydrodynamic phenomenon

Hi, by the ways happy Halloween , I hope this really helps

The gravitational attraction between the two objects of mass 5000000 kg each at a distance of 100 m is 0.167 N.

This is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface

To calculate the gravitational attraction between the two objects, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Hence, the gravitational attraction is 0.167 N.

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The level of measurement for the variable "the amount of resistance a suspect displays towards the police, measured as not resistant, somewhat resistant, or very resistant" is the ordinal level of measurement. An ordinal level of measurement provides information about the order of things.

It indicates the relative ranking of variables in a particular group but does not provide precise quantitative measures.The ordinal level of measurement ranks observations in a particular order, from the smallest to the largest, or from the least to the most, based on some specific criteria. The distance between any two consecutive categories is not the same.

In the given variable, we cannot compare the exact resistance of suspects because the difference between each category is not equal and is based on police perception rather than a precise measure.Main answer: The level of measurement for the variable "the amount of resistance a suspect displays towards the police, measured as not resistant, somewhat resistant, or very resistant" is the ordinal level of measurement.The ordinal level of measurement is used to sort data into categories. Ordinal scales may also be employed to measure attitude, satisfaction, or quality. The data can be put into a specific order, but the distance between data points cannot be measured.

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A mechanical wave is a wave that requires a medium to travel through, such as sound waves or water waves. In everyday life, we experience mechanical waves when we hear sounds or see water waves in a pond.

Transverse Wave: A transverse wave is a wave that vibrates perpendicular to the direction of wave propagation, such as light waves or radio waves.

We use transverse waves every day when we use our phones to receive radio waves.

Longitudinal Wave: A longitudinal wave is a wave that vibrates parallel to the direction of wave propagation, such as sound waves or seismic waves.

We hear sound through longitudinal waves, and we feel earthquakes through seismic waves.

Wave Speed: Wave speed is the speed with which a wave propagates via a particular medium.

When we watch a wave on the beach, we can estimate the wave speed by observing how fast it moves across the sand.

Wavelength: Wavelength is the distance between two corresponding points on a wave, such as the distance between two crests.

We can measure the wavelength of light using a spectroscope.

Frequency: Frequency is the number of waves that pass a given point in a given amount of time, such as the number of waves passing a fixed point in one second.

We use frequency to measure the pitch of sound or the radio frequency of a station.

Amplitude: Amplitude is the maximum displacement of a wave from its resting position, such as the height of a wave from its crest to its trough.

The amplitude of a sound wave determines how loud the sound is.

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The force that must be applied by Howard to the rope to move at a constant speed is 140.24 N.

The force that must be applied by Howard to the rope to move at a constant speed is calculated by applying Newton's second law of motion as follows;

F - Ff = ma

where;

at a constant speed, acceleration, a = 0

F - Ff = m(0)

F - Ff = 0

F = Ff

F = μmg

where;

F = ( 0.159 x 90 x 9.8 )

F = 140.24 N

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A well-designed kite with good aerodynamics, a streamlined shape, a low weight, and high-quality materials is essential to achieve maximum height when flying.

When designing a kite to fly high, there are several important factors to consider. The most important factor is the kite's aerodynamics, which refers to how well the kite can overcome the resistance of air to stay aloft. A kite with good aerodynamics will be able to generate enough lift to counteract the force of gravity and fly higher.

The shape of the kite is also an important consideration. Generally, a kite with a larger surface area will be able to generate more lift and fly higher. However, the shape of the kite also affects its aerodynamics. A kite with a streamlined shape and a curved surface will be able to generate more lift than a kite with a flat surface.

The weight of the kite is another factor that affects its ability to fly high. A heavier kite will require more lift to stay aloft, which can make it more difficult to fly at higher altitudes. Finally, the type of material used to construct the kite is important. A lightweight and durable material such as ripstop nylon is often used in kite design to minimize the weight of the kite while also providing enough structural support to keep it aloft.

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Answer:

Therefore, the magnitude of the acceleration of the particle at the instant when its velocity is zero is approximately 18.258 m/s².

Explanation:

To find the magnitude of acceleration at the instant when velocity is zero, we need to differentiate the given velocity equation with respect to time (t) to obtain the acceleration equation.

Given:

Velocity equation: v(t) = 22 - 3.8t^2

Differentiating the velocity equation with respect to time, we get:

a(t) = d(v(t))/dt = -2 * 3.8t

To find the magnitude of acceleration at the instant when velocity is zero, we need to solve for t when v(t) = 0.

0 = 22 - 3.8t^2

3.8t^2 = 22

t^2 = 22/3.8

t^2 ≈ 5.789

Taking the square root of both sides, we find:

t ≈ √(5.789)

t ≈ 2.403

Now we can substitute this value of t into the acceleration equation to find the magnitude of acceleration at that instant:

a(t) = -2 * 3.8 * 2.403

a(t) ≈ -18.258

Therefore, the magnitude of the acceleration of the particle at the instant when its velocity is zero is approximately 18.258 m/s².

Answer:

Explanation:

what are the multiple answers -.-?

Answer: The Coriolis effect results in bending the direction of surface currents to the right in the Northern Hemisphere and left in the Southern Hemisphere. The Coriolis effect causes winds and currents to form the circular patterns. The direction in which they spin depends upon the hemisphere in which they are present.Coriolis Effect is named after the French mathematician and physicist Gaspard-Gustave de Coriolis. It affects the weather patterns of an area, it affects the ocean currents, and it also affects air quality.

 The charge Q is uniformly distributed throughout the sphere. The correct answer is (B)

When a solid conducting sphere is given a positive charge Q, the charge will distribute itself evenly throughout the surface of the sphere due to the repulsion of like charges. This is known as the "Faraday's ice pail experiment".

According to the principle of electrostatics, the charge on a conductor always resides on its surface and distributes itself in a way that the electric field inside the conductor is zero. Since the charge on a conductor always resides on its surface, it follows that the charge Q in this case must be uniformly distributed throughout the surface of the sphere.

Option (A) is not true because the charge is not concentrated at the center of the sphere. If the charge was concentrated at the center of the sphere, the electric field would not be zero inside the conductor, which contradicts the principle of electrostatics.

Option (C) and (D) are not true because the density of the charge does not change radially outward from the center. If the density decreased or increased radially outward, the electric field inside the conductor would not be zero, which again contradicts the principle of electrostatics.

Option (E) is not true because the charge is distributed throughout the entire volume of the sphere, not just on its surface. A solid conductor has free charges that can move throughout its entire volume, so the charge will distribute itself throughout the entire volume of the sphere until the electric field inside the conductor is zero.

Therefore, the correct answer is (B) it is uniformly distributed throughout the sphere.

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To make a solution with an osmotic pressure of 8.80 atm at 315 K, 6,229 g of sucrose should be combined with 508 g of water.

We can use the equation for calculating osmotic pressure: π = MRT, where M is the molarity of the solution, R is the gas constant, and T is the temperature in Kelvin.

First, we need to calculate the molarity of the sucrose solution. We know the osmotic pressure is 8.80 atm, the temperature is 315 K, and R is 0.0821 L·atm/(mol·K)

π = MRT

8.80 atm = M × 0.0821 L·atm/(mol·K) × 315 K

M = 0.339 mol/L

Next, we can use the molarity and the volume of the solution to calculate the number of moles of sucrose

0.339 mol/L = n/(508 g/1.08 g/mL)

n = 18.2 mol

Finally, we can use the molar mass of sucrose to convert moles to grams

18.2 mol × 342.3 g/mol = 6,229 g

Therefore, 6,229 g or 6.229 kg of sucrose should be combined with 508 g of water to make a solution with an osmotic pressure of 8.80 atm at 315 K.

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The total energy of the Pendulum-Earth system is equal to 1.54416 Joules.

Given the following data:

Scientific data:

To calculate the total energy of the Pendulum-Earth system:

The total energy possessed by this Pendulum-Earth system is equal to the sum of both the potential energy and kinetic energy at its lowest point.

Mathematically, the total energy is given by this formula:

\(E = mgh + \frac{1}{2} mv^2\)

Substituting the given parameters into the formula, we have;

\(E = 0.3 \times 9.8 \times 0.26 + \frac{1}{2}\times 0.3 \times 2.28^2\\\\E=0.7644+0.77976\)

E = 1.54416 Joules.

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Answer:

Let's define t = 0 as the moment when the ball hits the wall.

in this moment, we have a given acceleration, but if we only want to calculate the average acceleration, then let's consider the acceleration constant.

a(t) = A.

To find the velocity equation we should integrate, and the constant of integration will be the initial velocity, in this case, is 14.3m/s.

v(t) = A*t + 14.3m/s

Now we know that at t = 0.011s, the velocity is -13.5m/s (the sign is negative because the ball is moving in the opposite direction as before).

Then we can solve the equation:

v(0.011s) = -13.5m/s = A*0.011s + 14.3m/s

Now we can solve it for A, the average acceleration:

-13.5m/s - 14.3m/s = A*0.011s

(-27.8m/s)/0.011s = A = -1313.5 m/s^2

Answer:

16

Explanation:

If a car is moving to the left with a constant velocity, one can conclude that The net force acting on the car is zero. The car's velocity is unchanging, its speed and direction are not changing over time. The car is in uniform motion.

Uniform motion and non-uniform motion refer to the motion of an object in a straight line. Uniform motion is defined as motion in a straight line at a constant speed. Non-uniform motion, on the other hand, is defined as motion in a straight line at a changing speed.

The constant velocity of the car to the left does not necessarily mean that the car is at rest or has zero acceleration. A constant velocity can still result from non-zero net force acting on an object.

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The Sun's outward bloating is driven by nuclear fusion, while its contraction is due to the force of gravity. The balance between these forces maintains the Sun's size and shape, ensuring its stability over billions of years.

The sun is a dynamic and complex celestial body that undergoes constant change and evolution. One of the main processes that affects the sun's size and shape is nuclear fusion. This process involves the merging of atomic nuclei to form heavier elements, releasing a tremendous amount of energy in the process. As the sun undergoes fusion, it tends to bloat outward, expanding in size and becoming less dense. However, this expansion is not infinite, as the gravitational force of the sun's mass ultimately pulls it back together. In fact, the sun also undergoes a process of contraction, as gravity causes it to compress and become more dense. This cycle of expansion and contraction is essential for the sun's stability, as it helps maintain a delicate balance between the forces of nuclear fusion and gravity.

The sun's size and shape are influenced by the opposing forces of nuclear fusion and gravity. While fusion causes the sun to bloat outward, gravity pulls it back together and causes it to contract. This cycle of expansion and contraction is a crucial factor in the sun's overall stability and longevity. The Sun tends to bloat outward due to nuclear fusion and contract due to gravity. In the core of the Sun, nuclear fusion occurs, converting hydrogen into helium. This process releases a tremendous amount of energy in the form of light and heat, which creates an outward pressure that counteracts the force of gravity.

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