What is the relationship between acceleration and time alt) for the model rocket (u(t) = at3 + ßt + y, where a = -3.0 m/s4, B = 36m/s², and y = 1.0m/s)? ► View Available Hint(s) a(t) = at? +B+ a(t) = cit? + C2 with the constants ci and c2 unknown because not enough information has been provided a(t) = 3at? +B a(t) = ß a(t) =

The ball thrown with the greatest angle will maintain its speed longer and hit the ground faster than the other two balls.

The answer to this question depends on the angles at which the balls were thrown and the speed with which they were thrown. All three balls have the same speed before they hit the ground, but the ball thrown with the greatest angle relative to the horizontal will hit the ground at the highest speed. As the angle of the throw increases, the time that the ball is in the air increases, allowing it to maintain its forward velocity for a longer period of time while the effects of gravity slow it down. Therefore, the ball thrown with the greatest angle will maintain its speed longer and hit the ground faster than the other two balls.

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The acceleration is of mother before child reaches half a revolution is,
a) 0.42 radians per second squared b) 0.42 radians per second squared

If both are moving in the same direction, the relative velocity of the child with respect to the mother is the angular velocity of the carousel, which is 2π radians per minute. The mother needs to cover the same distance as the child in half the time, so her relative velocity with respect to the child must be twice the angular velocity of the carousel, which is 4π radians per minute.

To calculate the required acceleration, we can use the formula: acceleration = (final velocity - initial velocity) / time. Since the mother starts from rest and reaches a velocity of 4π radians per minute, the final velocity is 4π radians per minute. The time to cover half a revolution is 30 seconds. Therefore, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

If both are moving in opposite directions, the relative velocity of the child with respect to the mother is the sum of their individual angular velocities. Since the mother is moving in the opposite direction to the carousel, her angular velocity is -2π radians per minute. Therefore, the relative velocity is (2π - (-2π)) = 4π radians per minute.

Using the same formula as before, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

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--The complete question is, A carousel completes 1 revolution every minute. A mother realizes that her child is about to fall and starts moving to protect him when the child already has a 90-degree lead. What acceleration must she reach to catch up with him before the child completes half a revolution? a) If both are moving in the same direction? b) If both are moving in opposite directions?--

Answer:

Georges Lemaître  - theorized that the universe had a beginning

Albert Einstein  - huit a model of the inverse haced on relativity

Galileo Galilei  - was the first to use a telescope to observe the planets

Edwin Hubble  - showed that the universe was expanding

Henrietta Swan Leavitt  - demonstrated a method to calculate the distance of celestial bodies

is my choices report if wrong

Galileo Galilei was the first to use a telescope to observe the planets

Albert Einstein built a model of the universe based on relativity

Henrietta Swan Leavitt demonstrated a method to calculate the distance of celestial bodies

Edwin Hubble showed that the universe was expanding

Georges Lemaître theorized that the universe had a beginning

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, The first person to observe the planets through a telescope was Galileo Galilei.

Based on relativity, Albert Einstein created a model of the universe.

A technique to determine the separation between celestial bodies was demonstrated by Henrietta Swan Leavitt.

Edwin Hubble demonstrated the expansion of the universe

According to Georges Lemaître, the universe had a beginning.

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The photoelectric experiment provides crucial evidence that light has both particle and wave-like properties. One of the key observations made in this experiment is that the photoelectric effect is not satisfactorily explained by a wave model of light.

The photoelectric effect occurs when electrons are emitted from a metal surface when it is exposed to light. According to the wave model, the energy of the emitted electrons should depend on the intensity of the light. However, experiments have shown that the energy of the emitted electrons depends on the frequency of the light, not its intensity.

This observation cannot be explained by the wave model, but it can be easily explained by the particle model of light, where light is considered as a stream of particles (photons) that carry energy. This observation was one of the key pieces of evidence that led to the development of the quantum theory, which explains the behavior of light and matter at the atomic and subatomic levels.

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Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

Yellow lines in the absorption spectrum of mercury vapor correspond to photons with an energy of about 2 eV, which indicates that the electrons in the mercury atoms are absorbing photons with an energy equal to the energy difference between two energy levels in the atoms.

Hence, it is concluded that the electron energy levels in mercury atoms are such that there must be energy levels with a difference of about 2 eV, which is in option B.

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Answer:

what is the question please?

Answer: 120000 m

Explanation:

in electromagnetic wave, velocity is same as 3*10^8 m/s

therefore

λ = v/f

= c/f

= 3*10^8 / 2500 Hz

= 120000 m

The distance of the block from its equilibrium position when its speed is half its maximum speed of the block is 0.86A

In a system, the mechanical energy is conserved that is it is neither gained nor lost. Mechanical energy is the sum of kinetic energy and the potential energy of the system.

Thus at the maximum speed, the kinetic energy is highest and the potential energy is null.

E = \(\frac{1}{2}mv^2_{max}\)

At amplitude, the potential energy is the maximum, and kinetic energy is zero

E = \(\frac{1}{2}kA^2\)

Since mechanical energy is conserved,

\(\frac{1}{2}kA^2\) = \(\frac{1}{2}mv^2_{max}\)

At a speed that is half of the maximum speed,

E = KE + PE

E = \(\frac{1}{8}mv^2_{max}\) + \(\frac{1}{2}kx^2\)

\(\frac{1}{2}mv^2_{max}\) = \(\frac{1}{8}mv^2_{max}\) + \(\frac{1}{2}kx^2\)

\(\frac{3}{8}mv^2_{max\) = \(\frac{1}{2}kx^2\)

\(\frac{3}{4}\) * \(\frac{1}{2}kA^2\) = \(\frac{1}{2}kx^2\)

0.75 \(A^2\) = \(x^2\)

x = \(\sqrt{0.75}\) A ≈ 0.86A

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initial velocity (u)=0m/s

final velocity (v)=10m/s

time( t)=5s

acceleration (a)=v-u÷t

acceleration (a)=10-0÷5

acceleration (a)=10÷5

acceleration (a)=2

therefore acceleration (a)=2m/s

The moment of inertia of a solid sphere rotating about an axis tangent to some point on its surface is equal to 2/5 times the mass of the sphere times the radius squared.

What is Inertia?

Inertia is a property of matter that describes its resistance to change in motion. It is the tendency of an object to remain in its current state of motion, whether that is at rest or in uniform motion in a straight line.

For a solid sphere rotating about an axis tangent to some point on its surface, the moment of inertia can be calculated using the following formula:

I = (2/5)m\(r^{2}\)

To understand why this formula works, consider the distribution of mass in a solid sphere. The mass is uniformly distributed throughout the volume of the sphere, and the radius is the same at all points on the surface. When the sphere rotates about an axis tangent to its surface, the rotation is symmetrical with respect to this axis. Therefore, the moment of inertia can be calculated as if all the mass were located at a single point, which is at a distance equal to the radius from the axis of rotation. Using this simplification, the moment of inertia of a solid sphere rotating about an axis tangent to some point on its surface is:

I = m\(r^{2\)

However, this formula only applies if the axis of rotation passes through the center of the sphere. If the axis of rotation is offset from the center of the sphere, the moment of inertia will be different. To account for this, the moment of inertia is modified by a factor of 2/5, giving the final formula:

I = (2/5)m\(r^{2\)

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Answer:

It would lift the object to the same height than before you move it 3 centimeters to the left. You see, the height doesn't change if you move the inclined plane horizontally, because height is a vertical variable.

Therefore, if the inclined plane has a height of 1 meters, then the object will be lifted 1 meters up, no matter if you move the inclined plane 50 meters horizontally, it won't change its height.

Answer:

When an electromagnetic wave passes from space to matter, some part of the energy is absorbed by the matter and it increases its energy. The wave may reflect and some part may pass through the matter depending on the amount of energy they have. The amplitude of the wave decreases if some parts of it are reflected.

Electromagnetic radiation is one of the many ways that energy travels through space. The heat from a burning fire, the light from the sun, the X-rays used by your doctor, as well as the energy used to cook food in a microwave are all forms of electromagnetic radiation. While these forms of energy might seem quite different from one another, they are related in that they all exhibit wavelike properties.

Answer:

To answer your question:

a) The formula to calculate the number of wavelengths within a laser pulse is:

number of wavelengths = pulse duration / wavelength

Plugging in the values given in the question, we get:

number of wavelengths = 38 ps / 1062 nm

Converting picoseconds to seconds and nanometers to meters, we get:

number of wavelengths = 38 x 10^-12 s / 1062 x 10^-9 m

number of wavelengths = 0.0358

Therefore, there are approximately 0.0358 wavelengths within the laser pulse.

b) To fit only one wavelength, the pulse duration would need to be equal to the wavelength. The formula to calculate the pulse duration is:

pulse duration = wavelength

Plugging in the value given in the question, we get:

pulse duration = 1062 nm

Converting nanometers to picoseconds using the speed of light ©, we get:

pulse duration = wavelength / c

pulse duration = 1062 x 10^-9 m / 3 x 10^8 m/s

pulse duration = 3.54 x 10^-12 s

Therefore, the pulse would need to be approximately 3.54 ps long to fit only one wavelength.

I hope this helps

The efficiency values that is reasonable If you want to design a high efficiency wind turbine is 45%

The efficiency of a wind turbine is the ratio of the power it generates to the power in the wind.

The theoretical maximum efficiency of a wind turbine is the Betz limit, which is 59.3%.

However, in practice, wind turbines are typically only about 35%- 45% efficient.

There are a number of factors that can affect the efficiency of a wind turbine, including the size of the turbine, the wind speed, and the design of the turbine.

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Answer:

Impulse = Force × Time

Explanation:

Answer:

The Moment of Impact Quick Check

1. B. Impulse = Force × Time

2. A. The momentum of each ball changes, and the total momentum stays the same

3. D. -55 kg·m/s

4. B. 3.5 kg

5. C. 6.3 m/s

Explanation:

I got a 100. You're Welcome.