the ratio of lengths,masses,densities and resitivitied of two wires are 1
:2, 1:1, 1:2 and 4:1 respectively. The of their resistances are??

The acceleration of an object in free fall motion is the constant acceleration due to gravity

(i) The gradient of the rocket at point B is approximately -9.81 m/s²

(ii) The reason why the gradient is -9.81 m/s² is as follows;

The given graph is the speed to time graph with the upward direction taken as positive

Given that at point B the object is at the maximum point, the upward motion due to the rocket stops, the motion of the rocket is then due to gravity

Therefore, the gradient at B, is given as follows;

\(Gradient = \dfrac{\Delta v}{\Delta t } = \dfrac{d(u + a \cdot t)}{dt} =a\)

At point B the only force acting on the rocket is the force of gravity, therefore, the acceleration of the rocket at B, a = g, acceleration due to gravity ≈  9.81 m/s², and the rocket is falling due to its weight

Therefore, only gravitational force is acting on the rocket when the direction of the rocket changes and rocket falls freely, at B, and the acceleration of the rocket at B = g = 9.81 m/s²

Learn more about free fall motion here:

https://brainly.com/question/16808647

We aim to prove that the functions f(x) and x*f(x) are linearly independent for any non-constant function f(x). Linear independence means that no non-trivial linear combination of the two functions can result in the zero function.

By assuming the existence of constants a and b, we will demonstrate that the only solution to the equation a*f(x) + b*(x*f(x)) = 0 is a = b = 0. To begin, let's consider the linear combination a*f(x) + b*(x*f(x)) = 0, where a and b are constants. We want to show that the only solution to this equation is a = b = 0.

Expanding the expression, we have a*f(x) + b*(x*f(x)) = (a + b*x)*f(x) = 0. Since f(x) is a non-constant function, there exists at least one value of x (let's call it x0) for which f(x0) ≠ 0.Plugging in x = x0, we obtain (a + b*x0)*f(x0) = 0. Since f(x0) ≠ 0, we can divide both sides of the equation by f(x0), resulting in a + b*x0 = 0.

Now, notice that this linear equation holds for all x, not just x0. Therefore, a + b*x = 0 is true for all x. Since the equation is linear, it must hold for at least two distinct values of x. Let's consider x1 ≠ x0. Plugging in x = x1, we have a + b*x1 = 0.Subtracting the equation a + b*x0 = 0 from the equation a + b*x1 = 0, we get b*(x1 - x0) = 0. Since x1 ≠ x0, we have (x1 - x0) ≠ 0. Therefore, b must be equal to 0.

With b = 0, we can substitute it back into the equation a + b*x0 = 0, giving us a + 0*x0 = 0. This simplifies to a = 0. Hence, we have shown that the only solution to the equation a*f(x) + b*(x*f(x)) = 0 is a = b = 0. Therefore, the functions f(x) and x*f(x) are linearly independent for any non-constant function f(x).In conclusion, the functions f(x) and x*f(x) are linearly independent because their only possible linear combination resulting in the zero function is when both the coefficients a and b are equal to zero.

Learn more about  coefficients  here:- brainly.com/question/1594145

#SPJ11

we can equate the two quantities of heat to find c: m_water * c_water * ΔT = m_material * c * ΔT, c = (m_water * c_water * ΔT) / (m_material * ΔT)

the above expression yields c = 0.20 kcal/kg * C°.

The formula for calculating the specific heat (c) of a material is:

ΔQ = m * c * ΔT

c = ΔQ / (m * ΔT)

ΔT = 100°C - 40°C = 60°C

m_water = 100 gΔQ = m_water * c_water * ΔT = 100 g * 1.00 kcal/kg * ΔT

m_material = 50 g

ΔT = 40°C - 0°C = 40°C

ΔQ = m_material * c * ΔT

So, we can equate the two quantities of heat to find c:

m_water * c_water * ΔT = m_material * c * ΔT

c = (m_water * c_water * ΔT) / (m_material * ΔT)

the above expression yields  temperature c = 0.20 kcal/kg * C°.

The first container's mass and temperature are multiplied together, and the result is added to the second container's mass and temperature to determine the mixture's water temperature. Finally, divide that outcome by the combined water masses in each container.

To know more about temperature visit :-

brainly.com/question/7510619

#SPJ1

According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.

Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.

Let the tension in each rope be T₁ & T₂

Also, T₁ = T₂ = T

T₁ Sinθ + T₂ Sinθ = mg

2T Sinθ = mg

2T Sinθ = 14g

T = 14g/2Sinθ

To Learn more about Tension force from the given link.

brainly.com/question/2008782

#SPJ4

the speed of flywheel is 300 rpm just before a punching operation,then the speed of the flywheel immediately after the punching operation is 299.93 rpm.

The answer of the above question is as follows:

mass of the flywheel of the punching machine (m) is 300 kg .

radius of gyration of the flywheel is :

\(k = 600 mm \times \frac{1m}{100mm} = 6m\)

work to be done against each punching by the wheel (W) is 2500J.

initial angular velocity of the flywheel is:

\(w = 300rpm \times \frac{ \frac{\pi}{30} \frac{rad}{s} }{1rpm} = 10 \frac{\pi \: rad}{s} \)

therefore the angular speed of the flywheel immediately after punching is given by

w1 =299.93 rpm

Learn more about angular speed here:

brainly.com/question/6860269

#SPJ4

Disclaimer : the given question is incomplete, thus the complete question is as follows:

Question: The flywheel of a punching machine has a mass of 300 kg mass and a radius of gyration of 600 mm. each punching operation requires 2500 J of work.

(a) knowing that the speed of the flywheel is 300 rpm just before a punching,determine the speed immediately after the punching.

Based on the circled elements in the periodic table’s location, we could infer that most of the circled elements are gases at room temperature. The correct answer is B.

There are 11 elements that are in gaseous state at room temperature. They are Hydrogen (H), Helium (He), Neon (N), Argon (Ar), Krypton (Kr), Xenon (Xe), Radon (Rn), Fluorine (F), Chlorine (Cl), Nitrogen (N) and Oxygen (O).

Elemental hydrogen (H, element 1), nitrogen (N, element 7), oxygen (O, element 8), fluorine (F, element 9), and chlorine (Cl, element 17) are all gases at room temperature, and also are found as diatomic molecules (H2, N2, O2, F2, Cl2).

Although part of your question is missing, you might be referring to this full question: Consider the circled elements in the periodic table as seen on attached image. Based on their location, we could infer that most of them are:

A) very reactive gases.

B) gases at room temperature.

C) do not react readily with metals.

D) nonreactive solids at room temperature.

Learn more about gas elements at: https://brainly.com/question/5336231

#SPJ4

The acceleration due to gravity on a planet with 1/2 the mass of Earth and 2 times the radius of Earth would be one fourth of the acceleration due to gravity on Earth.

Acceleration is the rate of change of velocity in a given direction. It is a vector quantity, meaning it has both a magnitude (or amount) and a direction associated with it. Acceleration is caused by forces, such as gravity, friction, engine thrust, or any other unbalanced force. It is measured in meters per second squared (m/s2). Acceleration can also be negative, meaning that it is in the opposite direction of the velocity. When an object is accelerating, its speed is increasing but its direction can be changing or staying the same.

This is because the acceleration due to gravity is inversely proportional to the square of the radius, and directly proportional to the mass. Therefore, the acceleration due to gravity on the planet would be (1/2)(1/4) = 1/8 of Earth's gravity.

To know more about acceleration click-

https://brainly.com/question/460763

#SPJ4

When a plane moves in a circle, it is subjected to a force that keeps it in a circle. This force is referred to as the centripetal force. The formula for centripetal acceleration is given as: ac =\((v^2)/r\)..

This formula can be re-arranged to solve for the radius of the circle: r = (v^2)/ac Where r is the radius of the circle, v is the velocity, and a is the centripetal acceleration. Given that the plane completes the loop in 45.0 seconds and experiences a centripetal acceleration of 14.7 m/s², the radius of the loop can be calculated as follows:r = (v^2)/ac Where: \(v = 2πr/T\).

The velocity of the plane is equal to 2πr/T, where T is the period of the loop)T = 45.0 second sac = 14.7 m/s²Therefore:r\(= [(2πr/T)^2]/acr = [(2πr/45.0)^2]/14.7r = 20.17 rr = 20\)The radius of the loop is approximately 20 m.

To know more about circle visit:

https://brainly.com/question/12930236

#SPJ11

Answer:

improved condition of your heart and lungs. increased muscular strength, endurance and motor fitness. increased aerobic fitness. improved muscle tone and strength.

Explanation:

yup

A rock suspended by a weighing scale weighs 3 N when submerged in water and 5 N out of water. F= N1-N2. Substitute 5N for F1 and 3n for F2 above the expression to get F. F=5N-3N = 2N.

The weight of the water volume that the submerged object displaces is what creates the buoyant force. The buoyant force is the weight of water that has the same volume as the rock because the boulder is totally submerged. The buoyant force is still present even though the rock is sinking; it is merely smaller than the rock's weight.

Your perceived weight is equal to the normal force. Therefore, when the elevator accelerates upward or downward, you truly feel a little heavier than usual and a little lighter than usual.

to know more about buoyant force here:

brainly.com/question/7379745

#SPJ4

when you’re trying to ollie higher, your front foot will be slightly farther back than it normally is. this lets you drag more on the board, helping you get the height you need. hope this helped :)

Answer: I had the same problem if I was you I would use my phone and record a slowdown of your ollie. Also pop hard and focus on how much  you jump, your ollie is only going to go as high as you jump so try to get some Hight also do moving first it helps in the long run trust if you dont its just as hard as learning how to ollie in the first place.

Explanation: keep riding I hope the best

The position of the object is the property that distinguishes the potential energy from kinetic energy.

What is potential energy?

The potential energy of a body or system is due to the position of the different components.

\(U = mgh\)

Where,

\(m\) - mass

\(g\) - graviatational acceleration

\(h\) - height

The kinetic energy of a body is due to its motion. It can be given as,

\(KE = \dfrac 12 mv^2\)

Where,

\(v\)- velocity

Since both potential energy and kinetic energy depend upon the mass, power, can perform work.

Therefore, the position of the object is the property that distinguishes the potential energy from kinetic energy.

Learn more about potential energy

https://brainly.com/question/907127

Answer:

3.125×10²¹ N/C

Explanation:

Electric Field: This can be defined as the force experienced per unit charge. The S.I unit of electric Field is N/C

Applying,

E = F/q.................. Equation 1

Where E = Electric Field, F = Force experienced, q = Charge of an electron.

From the question,

Given: F = 500 N, q = 1.6×10⁻¹⁹ C

Substitute these values into equation 1

E = 500/(1.6×10⁻¹⁹)

E = 312.5×10¹⁹

E = 3.125×10²¹ N/C

Rock that has partially weathered can be found in a soil profile's C horizon.

horizon: an unique layer of soil that is roughly parallel to the land surface and whose characteristics are the result of the interactions between living things and percolating water. The topsoil, for instance, is referred to as the A horizon, while the subsoil B horizons are the name given to horizons.

"Eye level" and "horizon line" are frequently used interchangeably. The term "horizon line" or "eye level" refers to a physical/visual line dividing sky from land or sea. Whether viewing an object, an interior scene, or an external scene, it refers to the real height of the viewer's eyes.

To know more about soil visit:-

https://brainly.com/question/12931456

#SPJ1

The weight of a \(45 kg\) box is \(441.45 N\).

Weight refers to the measure of the force exerted on an object due to the gravitational pull of the Earth.

Given the mass of the box is \(m=45 kg\).

The weight of an object (\(W\)) can be found by multiplying the mass of the object (\(m\)) by the acceleration due to gravity (\(g\)).

So, \(W=mg\).

It is known that acceleration due to gravity, \(g=9.81 m/s^2\).

Hence, the weight of the box, \(W=(45kg)\times (9.81 m/s^2)\).

\(\Rightarrow W=441.45 (kg\cdot m/s^2)\\\Rightarrow W=441.45 N\)

Therefore, the weight of the box is \(441.45 N\).

Learn more about the weight here: brainly.com/question/86444

Answer:

if these gases existed in Titan, this n in solid form, by which its absence in the atmosphere is understood.

Explanation:

Each gas and chemical compound has a defined temperature for changes of state, specifically for the change from gaseous to liquid and from liquid to solid state we have

gas                gas → liquid              liquid → solid

                         (ºC)                            (ºC)

H₂0 (Water)      100                                0

CO₂                 -56.6 (P> = 5.2 bar)     <-56.6

The temperature of the Titan satellite is - 180ºC

From the above, if these gases existed in Titan, this n in solid form, by which its absence in the atmosphere is understood.

Answer:

When the light ray enters the water from the air it always bends toward the normal

A is the correct answer

Explanation:

The phenomenon due to which a light ray on entering the water from the air bends towards the normal is called refraction. If the medium in which light is entering is denser than the previous one then light always bends towards the normal as in this case.

to learn more about refraction:

https://brainly.com/question/13088981?referrer=searchResults

A cougar with a mass of 80 kg is standing at the edge of a cliff, then the cougar's potential energy, if the cliff is 70 m high, would be 54880 Joules.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.

As given in the problem a cougar with a mass of 80 kg is standing at the edge of a cliff, and if the cliff is 70 meters high then we have to find the potential energy,

The potential energy of the cougar = 80×9.8×70

                                                           =54880 Joules

Thus, the potential energy of the cougar would be 54880 Joules.

Learn more about mechanical energy here, refer to the link;

brainly.com/question/12319302

#SPJ1

Answer:

10m/s

Explanation:

(m1)(v1)+(m2)(v2)= (m1+m2)(v[final])

(700)(30)+(1400)(0)= (700)(v)+(1400)(v)

21000= 2100v

v=10m/s

Answer:If you mean how much heat it can transfer as a thermal mass - in order to move heat from one place to another:

Typically the relationships are given by specific heat capacity (at different temperatures) and latent heats, plus the end-point temperatures to determine which of these conversion factors are relevant.

If time comes into it, you are looking at including shape and thermal conductivity at the minimum, so you really would need to be more specific

Explanation:

Answer:

there's gravity on earth so it's heavier

Mass of substance is the quantity of matter which is constant throughout the universe irrespective of the gravity of the planet, therefore the mass would be the same on earth as well as on the moon.

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The mass of any object is constant throughout and it is measured in kilograms while the weight of any object can vary depending on the value of gravity.

The quantity of stuff known as mass remains constant throughout the cosmos, independent of a planet's gravity, hence it follows that mass would be the same on Earth and the Moon.

To learn more about gravity from here, refer to the link;

brainly.com/question/4014727

#SPJ2

The force per unit area exerted by an electromagnetic wave is called : the intensity of the wave.

The intensity represents the energy flow per unit time through a unit area perpendicular to the direction of wave propagation. It is a measure of the power carried by the wave per unit area.

The intensity of an electromagnetic wave is directly proportional to the square of the amplitude of the wave. As the wave travels through space, the intensity decreases with distance due to spreading and dispersion of energy over a larger area.

The intensity of electromagnetic waves, such as light, is commonly expressed in units of watts per square meter (W/m²) or in decibels relative to a reference intensity level (dB). It is an important parameter in various fields, including optics, telecommunications, and radiation studies, as it determines the amount of energy transferred by the wave and its potential effects on materials and systems.

To know more about the electromagnetic wave refer here :

https://brainly.com/question/29774932#

#SPJ11

99.16 Newtons is the new force of attraction between the particles.

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

To know more about Newtons visit:-

https://brainly.com/question/3273157

#SPJ1

Answer:

Materials can be classified based on the amount of light they transmit. Materials, which allow complete transmission of light, are called transparent. Any object can be seen through a transparent material. One example of transparent material is pure glass.

Explanation:

Does this help ?

Answer:

light, materials, and shadows

Explanation:

hope this helps have a good rest of your day :) sorry if incorrect

From the given options let's select the example which shows a conceptual model.

A conceptual model can be said to be a model which shows an abstract representation of any concept which can be visualized or imagined than other models.

It is a model which the designers want users to understand.

From the list, the best option which is an example of a conceptual model is a mental image of gas molecules as tiny balls.

Let's say, for example, you imagine or have a mental picture of gas molecules using your imagination, it helps to understand how a vacuum system works and you can easily solve the problem if something goes wrong.

Therefore, the example of a conceptual model is:

A mental image of gas molecules as tiny balls.

• ANSWER:

A. mental image of gas molecules as tiny balls

The object would be moving at a constant velocity of 2 m/s.

A vector number called velocity is used to explain how quickly an object's position changes in relation to time. It is stated in terms of metres per second (m/s) or kilometers per hour (km/h), and is defined as the displacement (change in position) of an object divided by the time interval during which the displacement occurred.

The momentum (p) of an object is defined as the product of its mass (m) and velocity (v):

p = mv

We can rearrange this equation to solve for velocity:

v = p / m

Substituting the given values, we get:

v = 10 kg.m/s / 5 kg

Simplifying the expression, we get:

v = 2 m/s

Therefore, the object is moving at a constant velocity of 2 m/s.

To know more about velocity

https://brainly.com/question/27914280

#SPJ1

Answer:

centripetal force

Explanation:

because this force always compels the body to move in circle

The light travelling from sun to Jupiter in 43.33 minute.

Light can be define as, that it is electromagnetic radiation that can be detected by the human eye.

We are given that,

The distance from sun to Jupiter = d = 780 × 10⁵ km = 7.80 ×10¹¹m

The speed of light from the sun to Jupiter = v = 3.0 × 10⁸m/s

Therefore , to get the value of distance from sun to Jupiter by the equation is given as,

v = x/t

t = x/v

Where, t is the time taken by light from sun to Jupiter and x is the distance and v is shown speed of light from sun to Jupiter.

Then by putting the values in above equation we get,

t = (7.80 ×10¹¹m)/(3.0 × 10⁸m/s)

t = 2.6 ×10³ sec

t = (2.6 ×10³)/60 minutes

t = 43.33minutes

Thus, the light travelling from sun to Jupiter in 43.33minutes.

To know more about light

https://brainly.com/question/13199837

#SPJ1