1. If a gallon of milk and a cup of milk are both at 8°C, the _____ of the gallon is higher.

potential energy
heat content
temperature
kinetic energy

2. As the vibration of molecules increases, the _____ of the substance increases.

temperature
internal energy
kinetic energy
all of the above

3. An indirect measurement of the speed of molecules is _____.

heat flow
temperature
friction
energy

4.How many calories are absorbed by a copper spoon with a mass of 200 grams as it changes from 28°C to 33°C?

0.00027
3
90
13,000

5. 5.25 calories are absorbed by an iron nail. How many joules is this?

1.07
9.43
12.6
21.9

6. The specific heat capacity of aluminum is 0.22 cal/g°C. How much energy needs to flow into 20.0 grams of aluminum to change its temperature by 15°C?

0.017 cal
0.29 cal
66 cal
1363 cal

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

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:

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".

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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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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Answer:

Chemical

Explanation:

its bubbling

Answer:

The basic unit of matter is the electron.

Explanation:

Electrons have a negative charge.

Above statement is true because electron is a negatively charged particle and its charge is given as e = [tex]-1.6 \times 10^{-19} C[/tex].

The orbit of electrons around the nucleus is like a cloud.

Above statement is true as electron forms a cloud around the nucleus and that cloud is known as orbit of electron.

The path an electron moves on is not very straight.

Above statement is true as Electron moves around the nucleus in closed loop and in this path centripetal force is given by electrostatic attraction force

The basic unit of matter is the electron.

Above statement is not correct as we know that basic unit of matter is not electron but it consist of electron, neutron and proton

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.

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.

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.

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.

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: 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.

I believe the correct answer would be c

Heat transfer through the movement of fluid due to temperature-induced changes in density is known as convection.

Heat transfer by circulation of a fluid is known as convection. This process takes place when fluid, such as air or water, is heated and then moves due to changes in density. Hotter, less dense fluid rises, while cooler, denser fluid sinks, creating a circulation that effectively transfers heat within the fluid. For instance, when heating a pot of water, the heat is conducted to the water at the bottom of the pot. This heated water then expands, making it less dense than the surrounding cooler water, causing it to rise. As it rises, cooler water then moves down to replace it, and this cyclical process continues, resulting in the transport of heat throughout the pot by convection.

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

Answer:

False

Explanation:

The office area where night bulbs are used is very large and the light bulbs used do not produce this much amount of energy which can be trapped and used to offset our need for electricity.

This energy generated from these bulb is only a waste as it cannot be converted into reusable form. It can only be dissipated as heat.

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.

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.

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.

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