You exert a horizontal force on a heavy piano that rests on a carpeted floor. the piano doesn't budge. if the force you exert on the piano is the "action", what force is its reaction?

The maximum acceleration would be 1.0 m/s² when this truck was towing a bus of twice its own mass

[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]\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:

initial acceleration = a₁ = 3.0 m/s²

mass of tow-truck = m₁ = m

mass of bus = m₂ = 2m

Asked:

final acceleration = a₂ = ?

Solution:

[tex]\texttt{Initial Force of Tow-Truck = Final Force of Tow-Truck }[/tex]

[tex]F_1 = F_2[/tex]

[tex]m_1 a_1 = m_2 a_2[/tex]

[tex]m (3.0) = (m + 2m) a_2[/tex]

[tex]3m = 3m (a_2)[/tex]

[tex]a_2 = 3m \div 3m[/tex]

[tex]\boxed{a_2 = 1.0 ~ \mathtt{ m/s^2}}[/tex]

[tex]\texttt{ }[/tex]

The maximum acceleration would be 1.0 m/s²

[tex]\texttt{ }[/tex]

[tex]\texttt{ }[/tex]

Grade: High School

Subject: Physics

Chapter: Dynamics

To accurately calculate the final temperature and the specific enthalpy of the water vapor in the given spring-loaded piston-cylinder device after the water volume is reduced to half, we'd require the use of steam tables or equations of state and a clear understanding of the thermodynamic process involved.

The spring-loaded piston-cylinder device question given is based on the principles of thermodynamics and requires calculating the final temperature and the specific enthalpy of water after it undergoes a process where its volume is halved. To solve this problem, one can use the steam tables alongside the principles of thermodynamic processes involving an ideal gas or a real substance such as water, depending on the provided properties and the specified conditions.

To calculate the final temperature and specific enthalpy, we would need more details such as the properties of the water vapor at its initial state (using steam tables or equations of state, for example) and the characteristics of the thermodynamic process (constant pressure, isothermal, adiabatic, etc.). Moreover, if the properties are not sufficient to solve analytically, we might utilize software or further data from thermodynamic tables to aid in solving this question.

Without additional information about the specific heat capacities or the relationship between pressure and temperature for the water vapor, it is challenging to provide an accurate answer to the student's question.

FALSE, the earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.

Revolution and rotation are the terms that describe the different movements of the earth. The movement of the earth on its axis is known as rotation.

Revolution is the movement of the earth around the sun in a fixed route or orbit. The earth's axis, which is an imaginary line, forms a 6612° angle with its orbital plane.

The earth's rotation on its axis does not cause night and day. The rotation of the earth is responsible for the occurrence of night and day.

Hence, the given statement is false.

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Here Ben checked the quality of three sanitizer

He took all three and checked how much effective each soap is to kill the bacteria

He analyzed and find out that both brands of soap were more effective in killing bacteria than the advertised hand sanitizer

He took his decision on the basis of quality so this is qualitative analysis

option C is correct

Answer:

It is C

Explanation:

Answer:

Flubber is a combination of two words Fluid+ Rubber. It means flubber has physical properties of both fluid and rubber(solid).

Physical properties of Flubber are as follows

1. It has elasticity like rubber

2. It can take the shape of the container in which it is filled. It does not have any particular shape like fluid.

3.It has viscoplastic nature

4. It is gelatinous

5. It flows under low pressure and can break when high pressure is applied on it.

V=wavelength*frequency

3 m/s=wavelength*10 Hz

3m/s=10 Hz

wavelength= .3

Answer:

Wavelength of the wave, λ = 0.3 m

Explanation:

It is given that,

The speed of the wave, v = 3 m/s

The frequency of the wave, f = 10 Hz

We know the relationship between the frequency, wavelength and the speed of the wave. Mathematically, it can be written as :

[tex]speed=frequency\times lambda[/tex]

or

[tex]v=f\times \lambda[/tex]

[tex]\lambda=\dfrac{v}{f}[/tex]

[tex]\lambda=\dfrac{3\ m/s}{10\ Hz}[/tex]

[tex]\lambda=0.3\ m[/tex]

Hence, the wavelength of the wave is 0.3 m

Final answer:

To find the speed of an electron with a given kinetic energy of 4.1e-18 J, use the non-relativistic kinetic energy formula. The calculation reveals the speed is approximately 2.7 x 10⁶ m/s, validating the use of the classical formula.

Explanation:

If the kinetic energy of an electron is 4.1e-18 J, calculating the speed of the electron involves using the non-relativistic kinetic energy formula, KE = ½mv², where KE is the kinetic energy, m is the mass of the electron (9.11 x [tex]10^-^3^1[/tex] kg), and v is the speed of the electron.

First, rearrange the formula to solve for v, resulting in v = √(2KE/m). Substituting the given kinetic energy and the mass of an electron, we get v = √([tex]2*4.1e^-^1^8[/tex] J / (9.11 x [tex]10^-^3^1[/tex] kg)). Calculating this provides a numerical value for the electron's speed.

After calculating, you'll find that the electron's speed is approximately 2.7 x 10⁶ m/s, which is fast but still less than the speed of light, indicating that using the non-relativistic formula is justified in this scenario.

Final answer:

The downward force on the parachute from the 66.0 kg person experiencing a downward acceleration of 2.60 m/s2 is 171.6 newtons, calculated using Newton's second law of motion (F = ma).

Explanation:

The question asks for the downward force on the parachute from a person with a mass of 66.0 kg experiencing a downward acceleration of 2.60 m/s2. To find this force, we use Newton's second law of motion, which states that force (F) equals mass (m) times acceleration (a), or F = ma.

To calculate the force, we multiply the person's mass (66.0 kg) by the given acceleration (2.60 m/s2):

F = 66.0 kg × 2.60 m/s2
 = 171.6 N

The downward force exerted on the parachute by the person is therefore 171.6 newtons, expressed to three significant figures.

To calculate the time the supplies should be dropped before the plane is directly overhead, use the equation for free-fall motion and plug in the values given. The supplies should be dropped approximately 5.06 seconds before the plane is directly overhead.

To determine how many seconds before the plane is directly overhead the supplies should be dropped, we need to calculate the time it takes for the supplies to fall 160 m. We can use the equation for free-fall motion:

Time = sqrt((2 * distance) / g)

where distance is the height the supplies need to fall and g is the acceleration due to gravity. Plugging in the values, we get:

Time = sqrt((2 * 160 m) / 9.8 m/s²) ≈ 5.06 seconds

Therefore, the supplies should be dropped approximately 5.06 seconds before the plane is directly overhead.

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Answer:

C. When there is an angle between the two directions, the cosine of the angle must be considered.

Explanation:

I can confirm answer is C.

Answer:

v^2/r

Explanation:

Took the review

Acceleration on the inclined plane and flat surface is different. The acceleration of snowboarding on the inclined plane is 3.05 m/sec² while on the flat surface is 1.4715 m/sec².

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

Mathematically it is defined as the product of the coefficient of friction and normal reaction.

(a)

On resolving the given force and accelertaion in the different components and balancing the equation gets.

Components in the x-direction

mgsina-F= ma

mgcosa=R

F=μR

F = μmgcosa

mg(sina-μcosa)=ma

a=g(sina-μcosa)

a=9.31(sin28°-0.18cos28°)

a= 3.05 m/sec²

Hence acceleration of snowboarding on the inclined plane is 3.05 m/sec²

(b)

According to Newton's third equation of motion;

v²=u²+2as

v²= (5)²+2×3.05×110

v=26.4 m/sec.

Fₓ×f= mgμ=ma

a=g×μ

a=9.81×0.15

a= 1.47 m/sec²

Hence acceleration on the flat surface is 1.4715 m/sec².

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The ability of small insects to walk on water is due to surface tension, which results from cohesive forces among water molecules. This tension creates a thin 'skin' at the water's surface that can support the weight of light objects, such as insects.

The ability of small insects to walk on the surface of still water can be best explained by the phenomenon of surface tension. Surface tension is created due to the cohesive forces between water molecules at the liquid-air interface. This cohesion results in a thin 'skin' forming at the surface, which can support the weight of small insects like water striders. These insects distribute their weight over their long legs, ensuring that the force they exert is less than the surface tension holding the water molecules together, allowing them to effectively 'walk' on water.

An example of this can be seen when a paper clip or a thin razor blade is carefully placed on the surface of water without sinking, demonstrating the strength of surface tension.

The box that Manuel is holding would exert a force of 49 N, directed downwards due to gravity. This calculation is done using the mass of the box and the acceleration due to gravity. According to Newton's third law, the force exerted by the box on Manuel would be in the opposite direction to which he lifts it.

The box that Manuel is holding exerts a force equal to its weight due to gravity. The weight can be calculated using the formula F = mg, where F is the force, m is the mass of the object, and g is the acceleration due to gravity. In this case, the mass of the box is 5 kg and assuming the acceleration due to gravity to be approximately 9.8 m/s², we can calculate the force as F = (5 kg) * (9.8 m/s²) = 49 N.

As for the direction, the direction of the force is always directed downwards or towards the center of the Earth because gravity is the force involved in this situation. To be more specific, the force that the box exerts on Manuel is in the opposite direction to which he lifts it, according to Newton's third law of motion which states that for every action, there is an equal and opposite reaction. Therefore, the box exerts a downward force of 49 Newtons on Manuel.

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The warmest field on a temperature map is indicated by warmer colors such as red or orange. On maps like those from the WMAP spacecraft, red represents higher temperatures. In thermographic maps of buildings, warmer areas show where heat transfer is most severe.

The warmest field on a map showing temperature variations can typically be found in regions marked with a warmer color, such as red or orange, indicating higher temperatures. In the context of the map used by the WMAP spacecraft to show fluctuations in the cosmic microwave background, red represents areas of higher temperature and higher density. Similarly, thermographic maps of buildings, like Figure 1.32, use color to indicate variations in temperature, with warmer areas potentially signifying regions where heat transfer is most severe, such as through windows.

It's important to carefully analyze the colors and legends provided on the map to determine the precise locations of the warmest fields. When maps show global temperature changes, such as Figure 24.9.5, the land areas and the Arctic are noted for having experienced the greatest increases in temperature relative to mid-20th-century baseline values.

The correct choice would be

B) The Sun’s mass is much greater than Earth’s

The sun as we know has greatest mass in our solar system and lighter objects tends to orbit around the heavier objects. the mass of earth is very much smaller as compared to that of the sun. hence the earth orbits around the sun due to the force of gravitational attraction between the two objects.

Answer:

B. The sun's mass is much greater than Earth's.

Explanation:

I got it right on UsaTestPrep

Hope this helps!

From: Aug1e

Final answer:

Using the conservation of momentum, the final velocity of puck 1 after the collision is determined to be 1.2 m/s to the west.

Explanation:

The student's question is about determining the velocity of puck 1 after a collision in an ice hockey game. Since momentum is conserved in collisions, we can use the law of conservation of momentum to find the answer. Puck 1 has a mass of 0.1 kg and is initially traveling at 15 m/s to the east, whereas puck 2, also 0.1 kg, is initially going 12 m/s to the west. After the collision, puck 2 is moving at 15 m/s to the east. We can set up the equation for conservation of momentum as follows:

Initial Momentum = Final Momentum

(m1 * v1_initial) + (m2 * v2_initial) = (m1 * v1_final) + (m2 * v2_final)

Plugging in the given values and solving for v1_final (velocity of puck 1 after the collision):

(0.1 kg * 15 m/s) + (0.1 kg * -12 m/s) = (0.1 kg * v1_final) + (0.1 kg * 15 m/s)

Simplifying the equation:

1.5 kg*m/s -1.2 kg*m/s = 0.1 kg * v1_final + 1.5 kg*m/s

Rearranging to solve for v1_final gives:

v1_final = (1.5 kg*m/s - 1.2 kg*m/s - 1.5 kg*m/s) / 0.1 kg

Calculating v1_final:

v1_final = -1.2 m/s

Therefore, after the collision, puck 1 is moving at a velocity of 1.2 m/s to the west.

Answer:

Explanation:

The amount of energy required to change the state of matter at constant temperature is called latent heat.

There are two types of latent heat.

1. Latent heat of fusion: The amount of heat required to convert 1 kg of ice at 0 degree Celsius into 1 kg water at 0 degree Celsius is called latent heat of fusion.

2. Latent heat of vaporization: The amount of heat required to convert 1 kg of water at 100 degree Celsius into 1 kg steam at 100 degree Celsius is called latent heat of vaporization.

The number of photons of blue light required is 42 photons of blue light

The number of photons of green light required is 53 photons of green light

The number of photons of red light required is 56 photons of red light

The energy of one photon of light is calculated using the formula:

E = h * c / λ

where h, Planck's constant  = 6.63 * 10⁻³⁴ Js

speed of light c = 3 * 10⁸ m/s

λ = wavelength of light

wavelength of blue light = 419 nm = 4.19 * 10⁻⁷ m

wavelength of green light = 531 nm = 5.31 * 10⁻⁷ m

wavelength of red light = 558 nm = 5.58 * 10⁻⁷ m

Number of photons of light = Energy of light / Energy of one photon of light

Energy of light required by optic nerve = 2.0 * 10⁻¹⁷ J

Energy of one photon of blue light,

E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 4.19 * 10⁻⁷ m = 4.74 * 10⁻¹⁹ J

Number of photons of blue light = 2.0 * 10⁻¹⁷ J / 4.74 * 10⁻¹⁹ J

Number of photons of blue light = 42 photons of blue light

Energy of one photon of green light,

E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 5.31 * 10⁻⁷ m = 3.74 * 10⁻¹⁹ J

Number of photons of green light = 2.0 * 10⁻¹⁷ J / 3.74 * 10⁻¹⁹ J

Number of photons of green light = 53 photons of green light

Energy of one photon of red light,

E = (6.63 * 10⁻³⁴ Js * 3 * 10⁸ m/s) / 5.58 * 10⁻⁷ m = 3.56 * 10⁻¹⁹ J

Number of photons of red light = 2.0 * 10⁻¹⁷ J / 3.56 * 10⁻¹⁹ J

Number of photons of red light = 56 photons of red light

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Explanation of how to calculate the momentum of a proton moving at 0.805c using the relativistic momentum formula.

The momentum (p) of a proton moving at 0.805c can be calculated using the relativistic momentum formula:

[tex]p = (m * v) / \sqrt{(1 - v^2 / c^2)[/tex]

Substitute the mass of a proton (938 MeV/c^2), the velocity (0.805c), and the speed of light (3 x 10^8 m/s) into the formula to find the momentum value.