The radii of the sprocket assemblies and the wheel of the bicycle in the figure are:
4 inches,
2 inches,
and 14 inches respectively.

If the cyclist is pedaling at a rate of 1 revolution per second, find the speed of the bicycle in (a) feet per second and (b) miles per hour.

Answers

1)Light is a kind of electromagnetic radiation.

3)Electromagnetic radiation has no mass.

4)Electromagnetic radiation can travel through a vacuum.

Explanations

Electromagnetic waves are waves that can travel through vacuum. that is they do not require material medium for propagation.

Light is in the electromagnetic spectrum.

Electromagnetic waves can travel through a long distance. For instance, radio waves are electromagnetic radiations that travel long distances.

Electromagnetic radiations carry energy with it but no mass.

Some of the electromagnetic radiations are visible such as visible light.

Answer:

B) The period increases and the frequency decreases.

Explanation:

Gamma rays are high energy rays which means these rays have high frequency. Microwaves have low energy and low frequency. For electromagnetic wave change between gamma rays to microwaves, the frequency decreases and period increases.

[tex]T= \frac{1}{f}[/tex]

Thus, option B is correct.

The work done by the gas is 7.8x10^5 J.

To determine the work done by the gas as it expands at a constant pressure, we can use the formula:

Work = Pressure x Change in Volume

Given that the initial volume is 6 m^3 and the gas expands to twice its initial volume (12 m^3), the change in volume is 12 m^3 - 6 m^3 = 6 m^3. The given pressure is 1.3x10^5 Pa. Plugging these values into the formula:

Work = (1.3x10^5 Pa) x (6 m^3) = 7.8x10^5 J

Telescopes assist astronomers by detecting and analyzing light from celestial objects in great detail, enabling scientists to view distant objects and investigate their properties, including the chemistry of their atmospheres. They provide insight into the deep time and space of the universe.

Telescopes play an integral role in astronomical discoveries as they allow us to detect and analyze light and other forms of electromagnetic radiation from celestial objects. The key components in telescopes that make this possible are their light-gathering power and high-resolution imaging capabilities.

Telescopes gather more light than the human eye, allowing them to observe dim and distant objects in more detail. They can detect images and spectra of planets and galaxies, some of which are so distant that their light has traveled for billions of years to reach us. This provides profound insight into the structure of the universe and the life cycles of celestial bodies.

Moreover, by observing the chemistry of these planets' atmospheres, telescopes enable astronomers to search for signs of extraterrestrial life. Advanced telescopes such as the Hubble Space Telescope and the Very Large Telescope in Chile provide views of deep space and deep time – periods of time deep in the past – at an unrivaled resolution.

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A coherent wave is one where all crests and troughs align in the same place at the same time, demonstrating a constant phase relationship. Coherent waves, such as the light from lasers, are essential for interference phenomena utilized in devices like interferometers.

A wave where all the crests and troughs align at the same place and at the same time is known as a coherent wave. These waves maintain a constant phase relationship relative to each other. When discussing waves in this context, a wavelength is the distance between two consecutive crests or troughs of a wave. Coherent waves are important in many applications, such as in interferometers, which rely on wave interference phenomena to make precise measurements.

By definition, coherent waves are temporally coherent, meaning that their wave crests are part of the same continuous wave or 'wave train.' Coherence is essential for creating the interference patterns that are characteristic of a wide range of optical phenomena. For instance, lasers produce a beam of monochromatic light that is both temporally and spatially coherent, allowing for a range of applications from medical surgery to telecommunications.

A) Tension in the cord A ≈ 570 Newton

B) Tension in the cord B ≈ 700 Newton

[tex]\texttt{ }[/tex]

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\large {\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

weight of the suspended object = w = 210 N

Asked:

tension in the cord A = T_A = ?

tension in the cord B = T_B = ?

Solution:

Let:

γ = 360° - 60° - 45° - 90° = 165°

α = 90° + 45° = 135°

β = 60°

[tex]\texttt{ }[/tex]

We will use Lami's Theorem in this question.

If the system is in equilibrium , then:

[tex]\large {\boxed{\frac{T_A}{\sin \alpha} = \frac{w}{\sin \gamma}}}[/tex]

[tex]T_A = w \times \frac{\sin \alpha}{sin \gamma}[/tex]

[tex]T_A = 210 \times \frac{\sin 135^o}{sin 165^o}[/tex]

[tex]T_A = 210 \times ( 1 + \sqrt{3} )[/tex]

[tex]T_A \approx 570 \texttt{ Newton}[/tex]

[tex]\texttt{ }[/tex]

[tex]\large {\boxed {\frac{T_B}{\sin \beta} = \frac{w}{\sin \gamma}}}[/tex]

[tex]T_B = w \times \frac{\sin \beta}{sin \gamma}[/tex]

[tex]T_B = 210 \times \frac{\sin 60^o}{sin 165^o}[/tex]

[tex]T_B = 210 \times \frac{1}{2}( 6 + 3\sqrt{2} )[/tex]

[tex]T_B \approx 700 \texttt{ Newton}[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Physics

Chapter: Dynamics

[tex]\texttt{ }[/tex]

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

Final answer:

To find the position of the particle when t=7, integrate the velocity function to obtain the position function. Substitute a given position value to determine the constant of integration. Finally, plug in t=7 into the position function and evaluate to find the position of the particle.

Explanation:

To find the position of the particle when t=7, we need to integrate the velocity function from t=6 to t=7. The velocity function v(t) = 5sin(t^2) represents the rate of change of position with respect to time. Integrating this function gives us the position function x(t) = -5cos(t^2) + C, where C is a constant of integration.

We can find the value of C by substituting the given position x(6) = 4.0 into the position function. Plugging in t=6 and x=4.0, we get 4.0 = -5cos(6^2) + C. Solving for C, we find C = 4.0 + 5cos(6^2).

Now we can find the position of the particle when t=7 by plugging in t=7 into the position function x(t) = -5cos(t^2) + C, where C is the value we obtained earlier. Evaluating the expression, we find x(7) = -5cos(7^2) + (4.0 + 5cos(6^2)). Therefore, the position of the particle when t=7 is approximately (0.609, 0).

Final answer:

The position of the particle at t=7 can be determined by integrating the given velocity function v(t) = 5sin(t^2) from t=6 to t=7 and adding the result to the known position at t=6. The integral does not have an elementary antiderivative, so numerical methods are needed for evaluation.

Explanation:

The position of the particle, while it moves along the x-axis, can be found by integrating the velocity function. Since the velocity is given by v(t) = 5sin([tex]t^2[/tex]), we will integrate this with respect to time to find the position function x(t). Given that the particle's position at time t=6 is (4,0), we can use this information to find the constant of integration after integrating the velocity function.

To find the position x(t) at any time t after t=6, we would calculate the integral of the velocity function from 6 to t, and add this to the initial position at t=6:

∫6t 5sin(τ2)dτ + 4

To find the position at t=7, we would evaluate this integral from 6 to 7, which requires a numerical method since the integral of sin(t2) is not an elementary function. Once the integral is evaluated, this value is added to 4 (the position at t=6) to determine the final position of the particle at t=7.

The net electric force on the charge in the lower right corner can be calculated using Coulomb's law. The magnitudes of the forces exerted by the other charges can be determined by considering the charges and distances involved. The direction of the net force can be determined by adding the individual forces vectorially.

The net electric force on the charge in the lower right corner can be calculated by summing the individual forces exerted by the other three charges. Since all four charges are identical and arranged in a rectangle, the magnitudes of the forces will be the same. The magnitudes of the forces can be determined using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for Coulomb's law is:

F = k * (q1 * q2) / r^2

where F is the force, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. The direction of the force is determined by the charges involved. Charges with the same sign repel each other, while charges with different signs attract each other.

To calculate the magnitude and direction of the net electric force on the charge in the lower right corner, you can calculate the forces exerted by each of the other three charges individually and then add them vectorially. Since the four charges are arranged in a rectangle, the forces exerted by the top-left and top-right charges will point downwards and towards the left, while the force exerted by the bottom-left charge will point upwards and towards the right. By adding these forces vectorially, you can determine the net force.

Let me know if you need help with any specific calculations.

The kinetic energy of the wolf is 2500J.

The kinetic energy of the wolf can be calculated using the formula: Kinetic Energy = 0.5 x mass x velocity^2. Plugging in the given values, we have: Kinetic Energy = 0.5 x 50.0 kg x (10.0 m/sec)^2. Solving this equation will give us the wolf's kinetic energy.

Given values:

- Mass (m) = 50.0 kg

- Velocity (v) = 10.0 m/s

Using the formula for kinetic energy:

Kinetic Energy (KE) = 0.5 x mass x velocity^2

Plugging in the values:

KE = 0.5 x 50.0 kg x (10.0 m/s)^2

Calculating the square of the velocity:

KE = 0.5 x 50.0 kg x 100.0 m^2/s^2

Now, calculate the product:

KE = 2500.0 kg m^2/s^2

The unit of kinetic energy is joules (J), so we can rewrite it as:

KE = 2500.0 J

Therefore, the wolf's kinetic energy is 2500.0 joules (J).

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Answer

a. gamma rays

Explanation

Gamma rays are the electromagnetic waves with the highest frequency. They are the waves with the smallest wavelength.

Due to their high frequency they can produce more energy. They are the most energetic waves or the most powerful.

Answer:

Chemical

Explanation:

its bubbling

Answer: law

Explanation:

Social science can be define as the scientific study of human society and their  relationship among themselves.

A law can be define as rules which is enforced over the society to regulate it's functioning, restricting the ill-legitimate activities like crime, and safeguarding the rights of the human beings, and animals.

On the basis of the above description, the law is the social science which involves the studying of the legal policies.

Explanation:

Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.

Having two eyes that is having binocular vision gives animals an accurate sense of depth. Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.

Answer:

synapses

The chemical that helps them to communicate is neurotransmitters

Explanation: synapses have a receiving end and a sending end that helps them receive signal transmitted through the neurotransmitters

The coefficient of kinetic friction for the block k slides across a rough surface is 0.128.

Newtons second law of motion shows the relation between the force mass and acceleration of a body.

It says, that the force applied on the body is equal to the product of mass of the body and the acceleration of it.

It can be given as,

[tex]F=ma[/tex]

Here, (m) is the mass of the body and (a) is the acceleration.

As the mass of the block is 1.4 kg and the acceleration of it is 1.25 m/s (squared). Therefore the friction force can be given as using the above formula as,

[tex]F_f=1.4\times1.25\\F_f=1.75\rm N[/tex]

The normal force acting on it due to gravity force is,

[tex]F_n=1.4\times9.8\\F_n=13.72\rm N[/tex].

Now the friction force acting on a moving body is equal to the product of normal force acting on it and the coefficient of kinetic friction.

Thus, the coefficient of kinetic friction[tex](\mu)[/tex] can be given as,

[tex]F_f=F_N\times\mu\\1.75=13.72\times \mu\\\mu=0.128[/tex]

Hence, the coefficient of kinetic friction for the block k slides across a rough surface is 0.128.

Learn more about the Newtons second law of motion here;

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Answer:

The height of a sinusoidal wave is called its amplitude.

Explanation:

The height of a sinusoidal wave is called its amplitude. It is also defined as the maximum displacement of the particles of the waves. It the distance between the rest position to the crest or the rest position to the trough of the wave. The amplitude of a wave measures its intensity.

The intensity of a wave is directly proportional to the square of its amplitude.

So, the height of a sinusoidal wave is called wave's amplitude. So, the correct option is (b) "amplitude".

Answer:

Explanation:

Thermodynamics is the study of heat and energy and the second law of thermodynamics describes the limit of and capabilities of the universe.

As per law " the total entropy of an isolated system can never increase in time".

This law flashes light on degeneration, inefficiency and decay. It describes the phenomena of what we produce waste and is irreversible process in the universe and thus is our desolate fate.

It describes that once waste has been created, it cannot disappear. It will be in existence. This creates pollution.

Hence in this way the second law of thermodynamics and pollution is related.

Answer: 0.5 seconds or 2.625 seconds

Explanation:

At t = 0, The ball is 4 ft above the ground.

The height of the football varies with time in the following way:

s(t) = -16 t² + 50 t + 4

we need to find the time in which the height would of the football would be 25 ft:

⇒25 = -16 t² + 50 t + 4

we need to solve the quadratic equation:

⇒ 16 t² - 50 t + 21 = 0

[tex]t = \frac{50 \pm \sqrt{50^2-4\times 16\times 21}}{2\times16}[/tex]

⇒ t = 0.5 s or 2.625 s

Therefore, at t = 0.5 s or 2.625 s, the football would be 25 ft above the ground.