If you were to get up out of your seat and walk to the office, then return and sit in your seat again what is your displacement?

When played without using fingers, it produces the sound of the pitch a (440 Hz). You should shorten it to play the note c at a distance of 2.6 cm (523 Hz).

A sound pressure wave's frequency, also known as pitch, is the number of times it repeats itself every second.

Speed of wave propagation is directly proportional to the square root of the tension of the string and inversely proportional to the square root of linear density

\(\rm v = \sqrt{\frac{T}{u}}\)

Speed of the wave is the product of the frequency and the wavelength. The fundamental frequency wavelength is two times the string length.

f= 2L

V= f × λ

440×2×0.16 = 523×2L

L = 0.134 m

L = 13.4 cm

The string length for playing note C  will be 13.4 cm

The distance up to which hand is to be put so that the C note will play;

L=16- 13.4

L= 2.6 cm

Hence,at a distance  of  2.6 cm you should shorten it to play the note c (523 hz).

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In a space with hyperbolic geometry, the behavior of parallel lines differs from that of Euclidean geometry.

In hyperbolic space, parallel lines diverge from each other as they extend further.If two initially parallel flashlight beams traverse billions of light-years of space in a hyperbolic geometry, they will gradually diverge from each other. The divergence between the beams will increase as they travel a greater distance.

This phenomenon is a consequence of the non-Euclidean geometry of space. In hyperbolic space, the curvature causes parallel lines to "spread out" or diverge. The extent of the divergence will depend on the specific curvature of the space and the distance traveled.

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A baseball is hit almost straight up into the air with a speed, the greater the ball's potential energy will be upon launch, resulting in a greater maximum height.

(a) The time it takes to reach the maximum height. (b) The duration of the flight can be calculated using the following formula:(c) The launch angle, initial speed, and launch height are all variables that influence how high and far the ball flies. The higher the launch angle, the higher the ball's height; the higher the initial velocity, the higher and farther the ball will travel; and the greater the launch height, the greater the ball's potential energy will be upon launch, resulting in a greater maximum height.

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The formula for BMI in terms of mass (m) and height (h) is

BMI = m / h².

This formula provides a direct answer to estimating the amount of fat in a person's body based on their mass and height.

By dividing the person's mass in kilograms by the square of their height in meters, the BMI calculation takes into account both weight and height to determine an individual's body fat percentage.

This formula provides a mathematical way to measure BMI and can be used to calculate a person's BMI value. In conclusion, the formula for BMI is BMI = m / h².

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The formula for calculating a percentage markup is (sticker price - invoice price)/invoice price × 100, markup percentage: markup price × 100

The price (or income) of a thing is its gross profit minus the cost to produce it or acquire it for resale. The gross profit is divided by the item's cost to calculate the markup percentage.

A Reliable Markup Ratio Although there isn't a set "ideal" markup percentage, the majority of businesses settle for a markup of 50%. A price that is 50% more than the value of the good or service is referred to as a "keystone" markup.

percentage of markup The price (or income) of a thing is its gross profit minus the cost to produce it or acquire it for resale. The gross profit is divided by the item's cost to calculate the markup percentage. To convert the value to percentage points, multiply by 100.

(sticker price - invoice price)/invoice price × 100

Where,

The difference between the sticker price and the invoice price is known as the cost of goods.

The dealer's profit over their cost is known as markup price. The formula is as follows:

(Selling price - Cost Price) / Cost Price is the markup price.

Markup proportion: pricing markup of 100

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The energy of an object in motion is called kinetic energy

Kinetic energy is defined as the energy possessed by an object due to its motion. The amount of kinetic energy an object has is directly proportional to its mass and the square of its velocity. Mathematically, the formula for kinetic energy is:

Kinetic energy = 1/2 x mass x velocity^2

Where:

Mass (m) is the mass of the object in kilograms (kg)

Velocity (v) is the velocity of the object in meters per second (m/s)

Kinetic energy is a scalar quantity, which means it has only magnitude and no direction. It is measured in joules (J) in the SI unit system.

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The resultant of the two forces is is 17 N.

We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as

R = F1 + F2 + ... + Fn

where R is force resultant (net force)

From the question above, we know that

F1 = 7 N

F2 = 10 N

Because the direction is the same, the force will add to each other.

R = F1 + F2

R = 7 + 10

R = 17 N

Hence, the net force is 17 N

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To find the speed of the ball just before it lands, we can use the formula for projectile motion. Therefore, the speed of the ball just before it lands is approximately 18 m/s.

The initial velocity of the ball is 19.7 m/s at an angle of 53.0 degrees above the horizontal. The ball rises to its maximum height and then falls down to the green which is elevated 3.20 m above the point where the ball is struck. Ignoring air resistance, we can use the following formula:

v^2 = u^2 + 2as

where v is the final velocity of the ball just before it lands, u is the initial velocity of the ball, a is acceleration due to gravity (9.81 m/s^2), and s is the displacement of the ball (3.20 m).

We can resolve the initial velocity into its horizontal and vertical components:

\(u_x\)= u cos(Θ) = 19.7 cos(53.0) = 10.6 m/s

\(u_y\) = u sin(Θ) = 19.7 sin(53.0) = 15.9 m/s

At maximum height, vy = 0.

Using \(v_y^2 = u_y^2\)- 2as, we can find that:

s = \(u_y^2 / (2a) = (15.9)^2 / (2 * 9.81)\) = 12.8 m

The time taken for the ball to reach maximum height can be found using \(v_y = u_y - gt\):

\(t = u_y / g\) = 15.9 / 9.81 = 1.62 s

The time taken for the ball to fall back down to the green is twice this time, or 3.24 s.

Using\(v_x = u_x and s = u_xt,\)we can find that:

s = u_x t = 10.6 * 3.24 = 34.3 m

Finally, using \(v^2 = v_x^2 + v_y^2\), we can find that:

\(v^2 = (10.6)^2 + (2 * 9.81 * 12.8)\)= 329 v ≈ 18 m/s

Therefore, the speed of the ball just before it lands is approximately 18 m/s.

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The elastic modulus parallel to the fibers of a composite material made of type E-glass fibers embedded in a matrix of ABS plastic, with all fibers to be aligned in the same direction can be calculated as follows:First, we need to calculate the elastic modulus of each component of the composite material.

The elastic modulus of type E-glass fibers is 72 GPa, and the elastic modulus of ABS plastic is 2.5 GPa.Next, we need to calculate the volume fraction of each component. If we assume that the composite material is made up of 60% type E-glass fibers and 40% ABS plastic, then the volume fraction of type E-glass fibers is 0.6, and the volume fraction of ABS plastic is 0.4.

Finally, we can use the rule of mixtures to calculate the elastic modulus parallel to the fibers. The rule of mixtures states that the elastic modulus of a composite material is equal to the weighted average of the elastic moduli of the individual components, where the weights are the volume fractions.

Therefore, the elastic modulus parallel to the fibers is given by:

Elastic modulus parallel to fibers = (Volume fraction of type E-glass fibers x Elastic modulus of type E-glass fibers) + (Volume fraction of ABS plastic x Elastic modulus of ABS plastic)

Elastic modulus parallel to fibers = (0.6 x 72 GPa) + (0.4 x 2.5 GPa)

Elastic modulus parallel to fibers = 43.5 GPaSo, the elastic modulus parallel to the fibers of the composite material is 43.5 GPa.

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Answer:

B) is the answer

Explanation:

A) is 25 N

B) is 36N

C) is 30N

D)15N

\(\\ \rm\hookrightarrow Acceleration=\dfrac{v-u}{t}\)

\(\\ \rm\hookrightarrow Acceleration=\dfrac{20-12}{45}\)

\(\\ \rm\hookrightarrow Acceleration=\dfrac{8}{45}\)

\(\\ \rm\hookrightarrow Acceleration=0.1m/s^2\)

Now

\(\\ \rm\hookrightarrow v^2-u^2=2as\)

\(\\ \rm\hookrightarrow (20)^2-12^2=2(0.1)s\)

\(\\ \rm\hookrightarrow 400-144=0.2s\)

\(\\ \rm\hookrightarrow 256=0.2s\)

\(\\ \rm\hookrightarrow s=\dfrac{256}{0.2}\)

\(\\ \rm\hookrightarrow s=1280m\)

The maximum electromotive force induced in the coil by the generator is 56.45 V.

emf(max) = NAB/t

where;

Substitute the given parameter and solve for maximum electromotive force induced in the coil.

Area of the loop = 0.0462 m x 0.0462 m = 0.00213 m²

emf(max) = (353 x 0.00213 x 0.991) / (13.2 x 10⁻³)

emf(max) = 56.45 V

Thus, the maximum electromotive force induced in the coil by the generator is 56.45 V.

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The actual measured values of current and voltage can be different from the expected values because of the accuracy of the measuring instrument, the behavior of the circuit.

One possible reason is that the measuring instrument that we used may not be accurate or may have some error associated with it. Another reason could be that the circuit that we are measuring is not behaving as expected, and there may be some other factors that are affecting the flow of current or voltage. For instance, there may be some resistance in the circuit that is causing a drop in voltage or limiting the flow of current. Additionally, if the circuit contains any inductors or capacitors, then these components may cause some phase shift in the current or voltage, which could result in different values than expected.

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Answer:

0

Explanation: you are only accelerating if you are slowing down, speeding up, or changing direction

Answer:

1. The correct way a cell phone call goes out is;

The phone call goes out, transmits through radio waves, then moves to the central hub. Then the signal go to the nearest tower to the receiver of the call

2. Long wavelength

3. Microwave

Explanation:

1. When making a call through a cell phone, the speech made is digitized such that it is converted to electrical signals which are then converted into number strings that are transmitted out of the antenna of the phone as radio waves which are then picked up by the closest cellphone tower mast which then transmit the signal to the applicable central hub from where the signal is transmitted to the tower closest to the intended call receiver

Therefore, the correct option is that the phone call goes out, transmits through radio waves, then moves to the central hub. Then the signal go to the nearest tower to the receiver of the call

2. The property of AM frequencies that allow them to travel over long distances is long wavelength

The frequency of AM radio waves is between 540 kHz and 1600 kHz, which can be propagated as ground wave or by the ionosphere at night

3. Cell phones makes use of the subcategory of microwave which is the super high frequency (SHF) band which with a range of 3 GHz to 30 GHz

Answer:

more

Explanation:

the higher the density the more closely/tighter the particles in the object will be

Answer:

gravity would pull the ball towards the center of the earth

Answer:

Hope it helps

Explanation:

This is because the force of earth's gravitational field is always directed downwards (towards the center of the earth. ... When the ball is thrown up, it is going against the earth's gravitational field and so, the earth's gravitational force pulls it back down, accelerating it downwards.

Answer:

F=MA

A=F/M

A=9000/30000

A=0.3

Answer:

Law of conservation of energy

The distance covered by man is 7 km and displacement will be 5 km.

Distance is defined as the total path covered between two points. It is a scalar quantity.

Displacement is defined as the shortest path between two points. It is a vector quantity.

Distance is either always greater or equal to displacement. The distance can never be smaller than displacement.

According to the question, a person drives 6 km in the car, and he comes back 1 km to get some food means the distance traveled by him is 7 km.

However, the distance travelled will only be 5 kilometers if he travels straight to Burger King. Displacement is, after all, the shortest route between two places.

Hence, the distance will be 7 km and displacement will be 5 km respectively.

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Answer:

Position and velocity are both vector quantities. Because velocity is the rate of change of position with respect to time, there is a very close relationship between position and velocity. When the position remains constant, the corresponding velocity is zero because there is no change in position and the object is effectively at rest.

Explanation:

Answer:

Explanation:

(a) The charge of the ion is determined as 2.76 x 10⁻¹³C.

(b) The potential difference between the oil droplet’s starting point and end point is 16.28 V.

The charge of the ion is calculated as follows;

W = Fdsinθ

F = W/dsinθ

F = (3.9 × 10⁻¹²)/(0.022 x sin120)

F = 2.046 x 10⁻¹⁰ N

E = F/q

q = F/E

q = (2.046 x 10⁻¹⁰)/(740)

q = 2.76 x 10⁻¹³C

E = V/d

V = Ed

V = 740 x 0.022

V = 16.28 V

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The temperature on the Kelvin scale for the city was 258.64 K.

To convert the lowest temperature of -14.51°C to the Kelvin scale, you can use the following formula:

Temperature in Kelvin (K) = Temperature in Celsius (°C) + 273.15

So, the lowest temperature recorded in a particular city during the past year was -14.51°C. To convert this to the Kelvin scale, follow these steps:

1. Identify the temperature in Celsius: -14.51°C
2. Apply the formula: K = -14.51 + 273.15
3. Calculate the result: K = 258.64

The temperature on the Kelvin scale was 258.64 K.

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Answer:

when the car is moving in a straight line with constant velocity

Answer:

Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.

Answer:

TRUE

Explanation:

The answer is true.

Balance forces acting on a body will not change the motion of the body because the body experiences no net resultant force in one direction. When any body experiences equal forces with opposite directions, the net force or the resultant force experience by the body is zero.

In case of an unbalanced forces, there is a net force acting in one direction and so it causes the body to change in its state of motion in the direction of the net force.

true. condensation is when gas converts to liquid. the molecules move slower because of a loss of thermal energy, so it forms liquid

When light passes from one medium to another medium with a different refractive index, it changes its direction of propagation, which is described by Snell's law.  The final direction of the light ray depends on the refractive indices of the three media and the angle of incidence of the ray on the liquid-glass interface.

Total internal reflection occurs when light travels from a medium with a higher refractive index to a medium with a lower refractive index at an angle greater than the critical angle.The given scenario involves a light ray that is travelling inside a horizontal plate of glass. The angle of incidence of the ray striking the upper surface of the glass is 50∘. As the light ray passes through the glass, it experiences a change in its direction due to the difference in refractive index of glass and air.

As the angle of incidence of the light ray is greater than the critical angle, it gets totally internally reflected at the glass-air boundary. However, when a liquid is poured on top of the glass, the situation changes. This is because the refractive index of the liquid is different from that of the air, and hence the light ray will undergo refraction again as it enters the liquid.Apart from the difference in refractive indices, the angle of incidence of the light ray also changes as it enters the liquid.

This leads to a change in the direction of the refracted ray, which may or may not undergo total internal reflection again, depending on the angle of incidence and the critical angle of the liquid. Therefore, the final direction of the light ray depends on the refractive indices of the three media and the angle of incidence of the ray on the liquid-glass interface.

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The uncompressed density of a planet in our solar system varies.

The uncompressed density of a planet in our solar system can vary depending on its composition and structure. Different planets have different compositions, including a mix of rock, metal, gas, and ice. This composition affects their overall density.

For example, terrestrial planets like Earth, Mercury, Venus, and Mars have relatively high uncompressed densities due to their rocky compositions. These planets have solid surfaces and a dense core made of metal and rock.

Gas giants like Jupiter and Saturn have lower uncompressed densities because they are composed mainly of hydrogen and helium gases. These planets have a thick atmosphere surrounding a core, but the overall density is much lower than that of terrestrial planets.

Ice giants like Uranus and Neptune have a combination of gases and icy materials, resulting in a slightly higher uncompressed density compared to gas giants.

It's important to note that the uncompressed density of a planet can vary within its interior, with different layers having different densities. This variation is due to differences in pressure, temperature, and composition as we move deeper into the planet.

Therefore, the uncompressed density of a planet in our solar system cannot be generalized, and it varies depending on the specific planet and its composition.

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