A body travels a distance of 15m from A to B and then moves a distance of 20m at right angles to
AB. Calculate the total distance travelled and the displacement.

In the Roman soldier model for refraction, the first soldier who hits the muddy stream would slow down and turn slightly. Option B is correct.

The Roman soldier model is a simplified model used to explain the behavior of light when it passes from one medium to another. In this model, a group of Roman soldiers is marching across a field towards a muddy stream. The soldiers represent light rays, and the muddy stream represents the boundary between two media with different refractive indices.

When the first soldier hits the muddy stream, they slow down because the speed of light decreases when it passes from a medium with a lower refractive index to a medium with a higher refractive index. Additionally, the soldier turns slightly because the direction of the light ray changes as it passes through the boundary between the two media. This change in direction is called refraction, and it occurs because the speed of light changes when it passes through a medium with a different refractive index.

The amount of refraction that occurs depends on the angle at which the light ray hits the boundary between the two media and the difference in refractive indices between the two media. The Roman soldier model is a useful tool for understanding the basics of refraction, but it has limitations and cannot fully explain all aspects of the phenomenon. Option B is correct.

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The temperature gradient in the flow of direction is 294525 W.

A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.

Q= T/( L/ KA)

Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)

   = 294525 W

Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.

Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.

Therefore, The temperature gradient in the flow of direction is 294525 W.

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An example of convection currents is the movement of air in a room when a heater is turned on. When the heater warms the air in the room, the warm air becomes less dense and rises, creating a convection current. As the warm air rises, cooler air from other parts of the room moves in to replace it, creating a continuous circulation of air. This process is known as natural convection.

Convection currents occur when there is a transfer of heat through the movement of a fluid, either liquid or gas. Here is a step-by-step explanation of convection currents:

Heating: In the example of a room with a heater, the heating element of the heater warms the air in the vicinity.

Expansion: As the air near the heater gets heated, it expands and becomes less dense. This decrease in density makes the warm air rise.

Rising: The warm air rises upward due to its buoyancy. This upward movement creates an area of low pressure near the heater.

Replacement: As the warm air rises, cooler air from other parts of the room moves in to fill the space left by the rising warm air. This cooler air is denser and moves downward.

Circulation: The cycle continues as the warm air rises, cools down, and then descends to be heated again by the heater. This creates a continuous circulation of air, forming convection currents.

Other examples of convection currents include the movement of boiling water in a pot, the circulation of air in the atmosphere resulting in wind patterns, and the movement of magma in the Earth's mantle leading to plate tectonics. Convection currents play a significant role in distributing heat energy and maintaining fluid movements in various natural and artificial systems.

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Answer: 0.3 m/sec

Explanation:

Vrel = (Vs-Vm) = (0.8-0.5) = 0.3 m/sec

Answer:

0.3 m/s east

Explanation:

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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Answer:

If the particle is an electron \(E_y = 3.311 * 10^3 N/C\)

If the particle is a proton, \(E_y = 6.08 * 10^6 N/C\)

Explanation:

Initial speed at the origin, \(u = 3 * 10^6 m/s\)

\(\theta = 38^0\) to +ve x-axis

The particle crosses the x-axis at , x = 1.5 cm = 0.015 m

The particle can either be an electron or a proton:

Mass of an electron, \(m_e = 9.1 * 10^{-31} kg\)

Mass of a proton, \(m_p = 1.67 * 10^{-27} kg\)

The electric field intensity along the positive y axis \(E_y\), can be given by the formula:

\(E_y = \frac{2 m u^2 sin \theta cos \theta}{qx} \\\)

If the particle is an electron:

\(E_y = \frac{2 m_e u^2 sin \theta cos \theta}{qx} \\\)

\(E_y = \frac{2 * 9.1 * 10^{-31} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\\)

\(E_y = 3311.13 N/C\\E_y = 3.311 * 10^3 N/C\)

If the particle is a proton:

\(E_y = \frac{2 m_p u^2 sin \theta cos \theta}{qx} \\\)

\(E_y = \frac{2 * 1.67 * 10^{-27} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\\)

\(E_y = 6.08 * 10^6 N/C\)

Answer:

Um its the vbuck card on the 3 thrid level

Explanation:

Bc its a vbuck card you know sihdg;aig

Answer:

5 blocks east. His total distance is 15 feet.

Explanation:

I hope that this helps! Have a good day!

The intensity of waves is 9.96 × 10⁻³W/m².

Power radiated, P = 50 W

Frequency of the sound, f = 1000 Hz

a) Distance, r = 20 m

The intensity of waves,

I = P/4πr²

I = 50/(4π × 20²)

I = 9.96 × 10⁻³W/m²

b) We know that, the intensity of waves,

I ∝ 1/r²

So, I/I' = (r'/r)²

Therefore,

r' = r(√I/I')

r' = 20(√9.96 × 10⁻³/1)

r' = 0.19 m

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Given:

The mass of the ball is,

The initial velocity of the ball is,

The angle with the floor is,

The change in momentum is the impulse by the floor, so the impulse is,

The impulse is 80 kgm/s along with the final velocity.

Answer:

correct me if I'm wrong because thats what my note said

Answer:

vector quantities are resolved into their component form (along the x and y-axis) before adding them. Let us assume that two vectors are

→

a

=

x

1

^

i

+

y

1

^

j

and

→

b

=

x

2

^

i

+

y

2

^

j

, we can find the sum of two vectors as follows.

→

a

+

→

b

=

x

1

^

i

+

y

1

^

j

+

x

2

^

i

+

y

2

^

j

=

(

x

1

+

x

2

)

^

i

+

(

y

1

+

y

2

)

^

j

The direction of the sum of the vectors (with positive x-axis) is,

θ

=

tan

−

1

(

y

1

+

y

2

x

1

+

x

2

)

Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j

Vectors are objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

Vector A = direction is in y direction = 100j

Since , this vector is only in y direction and have no component in x direction , so its x component will be = 0i

Vector B = direction is at angle of 60.0 degrees above the +x axis  

Resolving into x and y components

x component = Vector B*cos(60) = Vector B * (1/2) = Vector B /2 = 200 /2

                                                                                                           = 100i

y component = Vector B * sin(60) = Vector B  * \(\sqrt{3}\)/2  = 173j

Vector C = direction is along the +x axis

hence , it will not have any y component

x component = 150i

y component = 0j

Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j

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Answer:

Ocean currents act as conveyor belts of warm and cold water, sending heat toward the polar regions and helping tropical areas cool off. Land areas also absorb some sunlight, and the atmosphere helps to retain heat that would otherwise quickly radiate into space after sunset.

The volume of the vegetable oil is  0.00003998 m³.

The density of vegetable oil,

ρ = 913 kg/m³

The mass of vegetable oil,

m = 0.0365 kg

To find: The volume of the vegetable oil, V Solution: The density of any substance is defined as the mass of the substance per unit volume.

The formula for density is:

ρ = m/V

where, ρ is the density of the substancem is the mass of the substance V is the volume of the substance We can rearrange the above formula to find the volume of the substance:

V = m/ρSubstituting the given values of mass and density in the above formula,

We get:

V = 0.0365 kg / 913 kg/m³ = 0.00003998 m³ (approx)

Therefore, the volume of the vegetable oil is approximately 0.00003998 m³.

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Answer:

6.49 x 10^-8 N

Explanation:

formula is

F= G * ((m1 * m2)/r^2)

F = 6.67x10^-11 * ((6.8*6.8/.218)

F = 6.49 x 10^-8 Newtons

F= G * ((m1 * m2)/r^2)

F = 6.67x10^-11 * ((6.8*6.8/.218)

F = 6.49 x 10^-8 Newtons

Gravitational force is the force of attraction on a body by earth. Example - Leaves and fruits fall from a tree downwards towards the ground due to the gravitational pull.

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The acceleration of the girl moving in a straight line at a velocity of 3 m/s is - 0.5 m / s²

a = v - u / t

a = Acceleration

v = Final velocity

u = Initial velocity

t = Time

v = 0

u = 3 m / s

t = 6 s

a = ( 0 - 3 ) / 6

a = - 0.5 m / s²

The negative symbol signifies that she is decelerating.

Deceleration is the acceleration in opposite direction. As a result, the body will lose velocity at a constant pace. Hence, if the acceleration has a negative value it is called as Deceleration.

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Answer:

25104 J

Explanation:

We are given;

Mass; m = 600 g

Change in temperature;Δt = (40 - 30) = 10°C

Specific heat of water; c = 4.184 J/g°C

Now, to find how many joules, we simply use the formula for quantity of heat.

Thus;

Q = mcΔt

Plugging in the relevant values to give;

Q = 600 × 4.184 × 10

Q = 25104 J

Quantity of heat = 25104 J

Answer:

Virtual

Explanation:

Answer:

B. Virtual

Good Luck!

One way oceans can influence climate change is Oceans moderate warming by absorbing carbon dioxide. The correct option is A.

Ocean acidification is the continuous, long-term absorption of carbon dioxide that results in a drop in the pH of ocean water.

The ocean can take in CO2 in a variety of ways, including through the process of photosynthesis by phytoplankton and green algae. CO2 can also be taken in by the ocean through the diffusion of gases.

Effects of ocean acidification:-

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Answer: A) Oceans moderate warming by absorbing carbon dioxide.

Explanation: What does oceans absorbing carbon dioxide have to do with warming? Since carbon dioxide or CO2, is a greenhouse gas, it can absorb heat. As oceans are melted into water by the Earth getting warmer it absorbs more and more CO2, that's part of the reason why we have had such hot years. As the oceans absorb the CO2, more glaciers melt, therefore there's more ice and the Earth just keeps getting warmer.

Hope this helps ^_^

Answer:

True

Explanation:

Friction occurs because no surface is perfectly smooth. Even surfaces that look smooth to the unaided eye make look rough or bumpy when viewed under a microscope. You know that friction produces heat. That’s why rubbing your hands together makes them warmer. But do you know why? Friction causes the molecules on rubbing surfaces to move faster, so they have more energy. This gives them a higher temperature, and they feel warmer. Heat from friction can be useful. It not only warms your hands.

When mass grows and distance contracts, gravity increases. Additionally, as distance and mass decrease, gravity also reduces.

Manning's universal law of gravity asserts that every atom in the cosmos pulls more or less every particle with a pressure along a connecting line, to put it in modern terms. The force is equal to the ratio of the wavelength between them and found to be proportional to the combination of their masses.

What exactly does the Law of Gravitation apply to  According to Newton's theory of Universal Gravitation, every particle in the cosmos is drawn to every other particle with a force that is equal to the product of their masses and inversely to their distance from one another.

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When mass grows and distance contracts, gravity increases. Additionally, as distance and mass decrease, gravity also reduces.

Manning's universal law of gravity asserts that every atom in the cosmos pulls more or less every particle with a pressure along a connecting line, to put it in modern terms. The force is equal to the ratio of the wavelength between them and found to be proportional to the combination of their masses.

What exactly does the Law of Gravitation apply to  According to Newton's theory of Universal Gravitation, every particle in the cosmos is drawn to every other particle with a force that is equal to the product of their masses and inversely to their distance from one another.

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The tangential component of the net force exerted on the car is ≈3.0 × 10³ N & the centripetal component of the net force exerted on the car is ≈4.3 × 10² N

The centripetal acceleration's magnitude is expressed as:

a = v²/r

The tangential acceleration's magnitude is stated as:

a= ∆v/∆t

The following is the net force's tangential component:

F =ma

Replace each value in the equation above.

F = (950 kg) (3.2 m/s²) (1N/(1kg ×m∕s² ))

= 3040N

≈3.0 × 10³ N

Consequently, the net force applied to the automobile has a tangential component that is ≈3.0 × 10³ N

The following is the centripetal component of the net force:

F = mv²/r

Replace each value in the equation above.

FR =((950 kg) (15 m∕s²) )/(500 m)  (1N/(1kg ×m∕s² ))

= 427.5 N

≈4.3 × 10² N

Consequently, the net force applied to the automobile has a centripetal component that is ≈4.3 × 10² N

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Answer:

\(v_1 = 301 Hz\)

\(v_2 = 601 \ \ Hz\)

\(v_3 = 901 \ Hz\)

Explanation:

From the question we are told that

     The  length of the string is  \(l = 90 \ cm = 0.9 \ m\)

     The mass of the string is  \(m_s = 3.5 \ g =0.0035 \ kg\)

     The  distance  from the bridge to the support post \(L = 62 \ c m = 0.62 \ m\)

    The tension is \(T = 540 \ N\)

Generally the frequency is mathematically represented as

        \(v = \frac{n}{2 * L } [\sqrt{ \frac{T}{\mu} } ]\)

Where n is and integer that defines that overtones

i.e  n =   1 is for fundamental frequency

      n =  2   first overtone

       n =3   second overtone

Also  \(\mu\) is the linear density of the string which is mathematically represented as

           \(\mu = \frac{m_s}{l}\)

=>        \(\mu = \frac{0.0035 }{ 0.9 }\)

=>       \(\mu = 0.003889 \ kg/m\)

So for   n = 1

     \(v_1 = \frac{1}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]\)

     \(v_1 = 301 \ Hz\)

So for  n =  2

     \(v_2 = \frac{2}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]\)

     \(v_2 = 601 \ Hz\)

So for  n =  3

     \(v_3 = \frac{3}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]\)

     \(v =901 \ Hz\)

Answer:

 do  17 +8.0 and see what you get

Explanation:

The calculated value of spring constant of the spring is 208.25 N/m.

The ratio of the force acting on the spring to the displacement it causes is known as the spring constant, which is a property of springs. Si unit of spring constant is Newton per meter.

Given parameters:

Mass of the banana: M = 17 kg.

Compression of the scale: x = 0.8 m.

We know that: acceleration due to gravity: g = 9.8 m/s².

So, weight of the banana: W = Mg = 17 kg × 9.8 m/s². = 166.6 Newton.

For applying 166.6 Newton weight on the spring, the spring in the

scale to compress 0.8 m.

Then, spring constant: k = F/x = 166.6 N /0.8 m = 208.25 N/m.

Hence,  the spring constant is  208.25 N/m.

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Answer: a. It would be 140 N

I don’t know, I just got it right

y= 6.26 lb.

Check attached image 1.

Using the trigonometric functions, we need to find a function that relates the angle, opposite side and adjacent side of the drawn triangle. The function that does this is the tangent.

Let theta (θ) be the angle given by the problem.

Let "y" be the missing y component.

Tangent (θ) = Opposite side (y) / Adjacent side (x)

\(Tan(tetha)=\frac{y}{x}\)

\(Tan(tetha)*x=y\)

\(Tan(51.8)*(4.93)=y\\ \\y=6.26\)

5. Express the result.

y= 6.26 lb.

Answer:

Force of gravity, F = 70 N      

Explanation:

It is required to find the force of gravity acting on an object that has a mass of 7 kg. Force of gravity always acts in downward direction.

The force of gravity is equal to the weight of an object. It is given by :

\(F=mg\)

g = acceleration due to gravity, for Earth, g = 10 m/s²

So,

\(F=7\times 10\\\\F=70\ N\)

So, 70 N of force of acting on an object.